A Complete Bibliography of Publications in IMA Journal of...

A Complete Bibliography of Publications in IMA Journalof Numerical Analysis

Nelson H. F. BeebeUniversity of Utah

Department of Mathematics, 110 LCB155 S 1400 E RM 233

Salt Lake City, UT 84112-0090USA

Tel: +1 801 581 5254FAX: +1 801 581 4148

E-mail: beebe@math.utah.edu, beebe@acm.org,beebe@computer.org (Internet)

WWW URL: http://www.math.utah.edu/~beebe/

26 January 2021Version 1.81

Title word cross-reference

(k, l) [376, 377]. −1 [1193]. 1[419, 437, 483, 1151, 1274]. 1/2 [540]. 1/x[315]. 10 [936]. 2 [502, 794, 1142, 1294]. 3[64, 213, 301, 703, 1043, 1196, 1289, 1427,1568]. 4 [45]. [1,∞) [315]. 1/2 [613]. 2 [993].A [1053, 1710]. α [1531]. ap [1412].AX + Y B = C [1811]. B [939]. R3 [1109].H(div) [1387]. C0 [246, 331, 464]. C1

[1486, 1618]. C2 [605, 1487, 1289]. C1 [1403].F [590]. Z [532]. χ [7]. D [150, 189, 1591].DG(p) [970]. dG(s) [821]. ε [94, 969, 1651].G1 [749]. G2 [749]. γ [1214]. H[1007, 1472, 1492, 1730, 584, 593, 977, 1627].H(div) [932, 1197, 1386]. H−1 [718]. H1

[14, 573, 819, 1175, 1402, 1439, 1679]. H2

[474, 573]. Hs(0, L) [165]. H1 [699]. H∞[1360]. HΛ

p (Id) [832]. hp[26, 247, 404, 683, 933, 1009, 1334, 1336,1677, 1809, 613, 838, 837, 1384]. K[758, 591]. l [561]. L(L2) [633]. L2

[171, 410, 651, 905, 1230]. L2(H1) [716].L2(H1

γ) [1079]. L∞(L2) [836, 1648]. L∞(L∞)[970, 971]. L1 [1088, 1736, 1460, 1478, 1738,1743, 1776, 1811]. L2

[392, 819, 1174, 547, 1742]. l∞ [1478]. Lp[1199, 1304, 1305, 1737]. λ [842]. LDLT

[1511, 862, 590]. LR [929]. LU[1075, 1114, 1631]. M [507, 506, 922]. A− ϕ[542]. T −Ω [542]. H [755]. O(ε−3/2) [555].P [457, 458, 520, 1070, 65, 211, 248, 620, 948,971, 977, 1220, 1286, 1528, 1558, 1627]. p(x)[602]. P1 [332]. Q [1792, 1452]. qd [929]. QR[440, 1020]. R [553]. R3 [1319]. < [977]. rp

[1412]. S [786]. T [806]. Θ[432, 914, 913, 1120, 1240, 1254, 1691]. V[1765]. ϕ [1758]. ϑ [1119]. W (a, x) [846].W−1,q [270]. W 1,∞ [595]. X[366, 1300, 1610]. x(i+1) = Px(i) + q [112].XY = A [1810]. y′′ = f(t, y) [457, 458].y′ = f(x, y) [519]. y′ = f(x, y) [520].y′′ = f(x, y) [936]. y′′ = f(x, y) [517, 518]. z[355, 1303, 1435]. z−1 [355, 1303, 1435]. Z2

[1073]. |ε| [1]. |L2| [249].

-acceptability [1053]. -algebraic [376, 377].-algorithm [1651]. -approximation[613, 1199]. -approximations [1120].-BEM [248]. -Bernstein [1452].-boundedness [971, 970]. -condition[1214]. -conforming [795, 1197].-convergence [595, 758]. -Cycle [1765].-decompositions [507, 506, 1114].-dependent [94]. -elliptic [1007, 584].-error [633, 836]. -factorization [590].-functions [1758]. -Galerkin [1439].-Hessian [794]. -interior [331]. -Laplacian[65, 211, 602]. -linear [553]. -matrices[1730]. -matrix [755, 806, 922]. -method[7]. -methods[1240, 1254, 1691, 432, 914, 913]. -narrow[593]. -norm [474, 905]. -norms [1528, 716].-order [1792]. -part [591]. -partitions[150]. -projection [14, 819]. -rational [842].-scheme [1119]. -series [939]. -solutions[971, 1811]. -spline [1300, 1610]. -splines[366, 1403]. -stability [520, 819]. -stable[458, 457, 1070, 1710]. -structure[620, 1286]. -symmetry [1073]. -transform[532]. -transformation [1591].-triangulation [1531]. -type [786, 590].-uniform [969]. -uniformly [1]. -version[838, 837, 948, 1384, 1558]. -weighted[1492].

17 [1625].

2 [212, 1284]. 26 [82].

31 [1771]. 3D [1676].

5 [458, 690].

65130 [517].

7 [642].

83d [1284]. 86d [690]. 87c [458].

9 [517]. 90d [642]. 90i [517]. 98d [1625].

Abel [395, 1257, 1258]. abscissa[1329, 1330]. absolute[1132, 1311, 1798, 1693]. absorbing [1282].abstract [264]. Accelerated [147, 765].accelerating [1035]. Acceleration[1195, 337, 1038, 1051, 1311, 1312].accelerator [692]. acceptability [1053].accretive [283, 284]. accumulation [491].Accuracy [1388, 130, 457, 458, 969, 1056,1076, 1237, 1337, 1602]. Accurate[586, 638, 722, 776, 846, 876, 1043, 1275, 1383,1409, 1654, 1655, 1656, 1720, 1795, 1806].achieve [610]. acoustic[228, 254, 295, 806, 1136, 1137, 1196, 1538].active [268]. Adams [946]. Adams-type[946]. adapted [1234]. Adaptive[43, 113, 216, 400, 564, 598, 713, 765, 770,1130, 1408, 1650, 44, 53, 105, 211, 215, 224,389, 413, 420, 459, 530, 566, 635, 667, 720,732, 809, 810, 820, 821, 865, 866, 1011, 1091,1161, 1162, 1183, 1184, 1276, 1342, 1592,1760, 1809]. adaptivity [873]. addition[760]. additional [253, 1370]. Additive[952, 1558, 114, 494, 977, 1118, 1253, 1368,1727, 1777]. additively [450]. ADER[1665]. ADER-WAF [1665]. adhesion[559, 839]. ADI [1441]. Adiabatic [1069].adjoint [302, 1210, 1298, 1569, 1634, 1722].advected [1170]. advection [688, 705, 717,800, 1349, 1411, 1602, 1675, 1744].advection-diffusion [1349, 1411].advective [1169]. adverse [287]. Afem

[423]. affine [170, 1405]. after [551].aggregated [1628]. aid [1552]. Ale[1275, 1155]. Ale-Fem [1275]. algebra[1684]. algebraic [169, 376, 377, 394, 431,525, 796, 872, 906, 923, 1142, 1219, 1225,1229, 1427, 1542, 1568, 1594, 1596, 1649].algebraically [526]. algorithm[290, 293, 309, 369, 370, 420, 428, 475, 481,538, 556, 580, 621, 647, 711, 721, 731, 740,754, 831, 863, 874, 920, 960, 1002, 1019, 1020,1030, 1040, 1138, 1288, 1310, 1370, 1446,1469, 1474, 1545, 1651, 1703, 1709, 1736,1742, 1755, 1763, 1779, 1793]. Algorithms[622, 1339, 1366, 60, 61, 84, 226, 328, 530,574, 618, 675, 707, 709, 824, 902, 923, 929,1080, 1112, 1113, 1195, 1340, 1346, 1488,1491, 1522, 1598, 1612, 1627, 1668, 1676,1762, 1758, 1791, 1792, 1803]. alignment[58]. Allen [94, 178, 268, 324, 763, 887].allows [860]. alloy [175, 176, 177, 271, 1131].alloys [1789]. alpha [599]. Alternate[570, 1346, 1347]. alternating[261, 354, 460, 503, 502, 858, 1510]. Ampere[127, 1400]. Anal[458, 517, 642, 690, 1284, 1625]. analyses[195, 446, 952]. Analysis[21, 105, 118, 277, 280, 308, 353, 363, 473, 487,551, 572, 652, 741, 761, 763, 762, 814, 909, 945,951, 979, 1029, 1124, 1201, 1231, 1273, 1451,1508, 1513, 1665, 1771, 2, 5, 33, 50, 86, 87, 89,100, 104, 139, 153, 166, 168, 212, 218, 231, 238,234, 241, 257, 266, 265, 268, 271, 297, 325, 329,335, 387, 393, 395, 397, 412, 417, 426, 453, 468,482, 486, 521, 546, 560, 574, 629, 636, 676, 683,685, 688, 697, 707, 706, 698, 703, 699, 704, 709,719, 1511, 758, 767, 800, 806, 817, 825, 826].analysis[845, 906, 908, 986, 992, 993, 1009, 1026, 1025,1022, 1066, 1073, 1072, 1080, 1087, 1088,1089, 1136, 1137, 1150, 1156, 1160, 1161,1177, 1206, 1197, 1207, 1215, 1249, 1250,1257, 1272, 1276, 1274, 1292, 1298, 1323,1326, 1341, 1369, 1374, 1395, 1398, 1403, 1407,1412, 1488, 1504, 1505, 1530, 1569, 1646, 1722,

1728, 1717, 1765, 1763, 1759, 1762, 1767, 1780,1787, 1797, 1807, 585, 1045, 1046, 1698, 364].analysis-suitable [486]. Analytic[1689, 16, 39, 54, 1094, 1463, 1517].analytical [8, 14, 169, 915]. Andrew [900].angles [220]. Anisotropic[467, 95, 170, 188, 190, 617, 717, 725, 726,851, 887, 1174, 1175, 1245, 1515, 1765, 1794].annulus [355, 1303, 1435]. any [725]. AOR[1730]. apertures [978]. Application[475, 96, 222, 281, 403, 430, 445, 459, 478,612, 732, 734, 958, 1005, 1017, 1111, 1227,1332, 1389, 1614, 1703]. applications[87, 91, 109, 146, 150, 216, 354, 360, 481, 539,797, 884, 881, 912, 1112, 1113, 1266, 1522,1604, 1646, 1658, 1770, 1771]. applied[98, 149, 224, 462, 790, 882, 974, 1168, 1228,1233, 1314, 1382, 1548, 1730]. appraisal[1434]. approach[53, 98, 564, 629, 631, 735, 828, 930, 1055,1355, 1356, 1386, 1387, 1407, 1426, 1425,1492, 1655, 1669, 1682, 1814, 562].approximants [755]. approximate[173, 386, 469, 506, 603, 693, 724, 957, 1011,1146, 1315]. approximated [488, 541].Approximating [917, 1235, 16, 579, 601,1360, 1522, 1634, 1656, 1758].Approximation[88, 228, 315, 325, 345, 895, 944, 943, 975, 990,1078, 1345, 1579, 1773, 4, 15, 23, 27, 24, 28,46, 62, 65, 90, 91, 130, 140, 164, 183, 185, 186,187, 181, 175, 176, 177, 178, 174, 188, 194,189, 179, 180, 192, 196, 198, 199, 203, 214,236, 283, 284, 282, 286, 292, 302, 320, 327,338, 358, 359, 388, 409, 410, 425, 430, 431,479, 490, 492, 515, 522, 536, 547, 607, 613, 620,633, 653, 655, 673, 695, 700, 702, 725, 739, 777,781, 793, 805, 823, 839, 840, 859, 973, 988].approximation[994, 1008, 1031, 1035, 1036, 1042, 1062, 1063,1081, 1094, 1106, 1125, 1167, 1170, 1189,1199, 1226, 1243, 1244, 1266, 1461, 1276,1293, 1364, 1378, 1392, 1402, 1421, 1433,1459, 1462, 1504, 1506, 1520, 1537, 1549, 1585,

1637, 1641, 1655, 1678, 1708, 1736, 1737, 1738,1741, 1747, 1750, 1752, 1760, 1777, 1782].approximations[11, 12, 44, 128, 136, 190, 193, 191, 204, 324,329, 349, 350, 407, 517, 518, 540, 573, 586,692, 701, 779, 800, 802, 835, 836, 833, 857,911, 1053, 1086, 1118, 1121, 1120, 1123, 1172,1181, 1208, 1209, 1220, 1221, 1272, 1304,1305, 1315, 1363, 1408, 1409, 1430, 1440,1512, 1543, 1554, 1560, 1573, 1591, 1609, 1626,1670, 1677, 1676, 1679, 1733, 1754, 1812, 587].Arbitrarily [1559]. Arbitrary [617, 137,596, 747, 791, 861, 975, 1251, 1263, 563].Arbitrary-order [617]. arcs [1781].arguments [1395]. arising[34, 32, 338, 387, 700, 756, 868, 906, 935,1006, 1018, 1139, 1229, 1440, 1484].arithmetic [1012, 1413, 1414, 1585].Arnold [410]. Aronszajn [732]. aspects[1551]. asserting [1703]. assets [1021].assimilation [1040]. associated[60, 61, 68, 922]. assumptions [812].asymmetric [1297]. asymmetry [1597].Asymptotic[435, 665, 840, 1320, 1424, 1571, 1721, 1752,20, 57, 84, 432, 707, 841, 844, 899, 1037,1086, 1166, 1246, 1287, 1601, 1759].asymptotic-preserving [844].Asymptotically [653]. asymptotics [597].asynchronous [1344]. atom [38].atomistic [1222]. atomistic-to-continuum[1222]. attenuation [1507]. attracting[1568]. attraction [811]. attractivity[1556]. attractor [987, 990]. Attractors[1141, 907, 1142]. Augmented[675, 774, 1041, 195, 393, 534, 958, 1163,1177, 1194, 1217, 1492]. auto [133, 1465].auto-correction [1465]. auto-correlation[133]. Automatic [491, 386]. autonomous[485, 1095]. Auxiliary [584]. Average[1418, 326]. averages [717, 1202].averaging [541, 1433, 1545]. Avoiding[48, 49, 199]. axisymmetric [231, 1407].

B [383, 723, 859, 1108, 1683]. B-series [383].B-spline [723, 859, 1108, 1683]. back [684].Backward [1260, 592, 33, 162, 452, 615, 784,1150, 1310, 1344, 1357, 1644]. Bakhvalov[1231]. Bakhvalov-Shishkin [1231].balance [824, 1124]. ball [1459]. Banach[768, 1371, 1729]. band [534, 593]. Banded[937]. Barlow [1786]. barotropic [805].barrier [1076, 1419]. barycentric[126, 430, 985]. Barzilai[1039, 569, 568, 1503]. Basc [781]. based[6, 155, 272, 316, 426, 442, 452, 475, 488, 541,618, 681, 701, 714, 761, 843, 891, 942, 1111,1177, 1179, 1185, 1306, 1307, 1311, 1342,1346, 1347, 1396, 1444, 1583, 1609, 1654,1669, 1673, 1699, 1731, 1786]. bases[52, 1185, 1664]. basis[143, 205, 365, 405, 479, 544, 778, 779, 801,806, 1067, 1199, 1278, 1463, 1526, 1766, 1796].bathymetry [300]. BDDC [404]. BDF[1055]. BDF-like [1055]. Beam [1673].beams [1573]. Bean [698]. bed [493].behaviour[435, 436, 561, 665, 680, 791, 1246, 1424, 1776].Bellman [1079, 1351]. Bellman-type[1351]. Beltrami [374]. BEM[6, 159, 248, 339, 681, 735, 755]. bending[1402]. benefit [1029]. Bernstein[1449, 1452]. bespoke [788]. Bessel[1771, 1770]. Best [1459, 1462, 1750, 320,410, 1244, 1304, 1305, 1433]. between[57, 212, 357, 779, 1664]. beyond [631].Bezier [536]. BFGS [118, 1793]. bi[797, 895]. bi-Laplacian [797]. bi-variate[895]. bicubic [154]. bidiagonal [964, 1313].bidimensional [1535]. BIE [736, 737].bifurcation [45, 608, 712, 1364, 1554].Bifurcations [1624, 1625, 454, 898].biharmonic [313, 316, 331, 804, 834, 843,927, 1278, 1777, 1801]. bilateral [166].bilinear [783]. binary [1131]. Birkhoff [15].bisection [819]. bivariate [1403, 1617].Black [430, 1108, 1726, 1046]. Block[226, 1473, 146, 281, 537, 558, 1511, 879, 889,

958, 964, 1254, 1264, 1316, 1614, 1780].Block-diagonal [1473, 537].block-separable [889]. block-tridiagonal[558]. blocks [30, 1313]. blow [770].blow-up [770]. bmo [88]. bodies [297, 735].body [559, 995, 1580]. Bogdanov[257, 1073, 1072, 1764]. Boltzmann [777].Boor [1779]. bordered [1780]. borders[879]. Borwein [569, 568, 1039, 1503].bound [175, 177, 316, 711, 833, 890, 1301,1419, 1526, 1592]. bound-constrained[890]. boundaries [468, 1078]. Boundary[1013, 1047, 1186, 4, 8, 19, 48, 49, 66, 92, 98,97, 107, 125, 150, 160, 163, 182, 186, 191, 224,230, 241, 247, 254, 259, 260, 274, 276, 295,308, 381, 393, 418, 414, 422, 425, 434, 436, 448,455, 456, 468, 475, 484, 508, 511, 522, 594, 595,625, 637, 645, 685, 689, 702, 720, 732, 738, 746,759, 817, 826, 852, 865, 866, 864, 904, 934, 970,971, 974, 977, 978, 993, 995, 1002, 1008, 1010,1083, 1099, 1122, 1156, 1158, 1224, 1276, 1282,1290, 1321, 1334, 1362, 1379, 1385, 1406].boundary [1436, 1484, 1507, 1550, 1602,1607, 1630, 1638, 1643, 1642, 1646, 1647,1677, 1714, 1753, 1046].boundary-concentrated [685].boundary-driven [436]. boundary-finite[1013]. boundary-locus [150].boundary-value [308, 475, 904, 1362].Bounded [1600, 495, 1496, 1517, 1571, 1800].Bounded-norm [1600]. boundedness[970, 971]. Bounds[1077, 23, 25, 27, 24, 28, 41, 106, 164, 167, 242,472, 594, 600, 836, 1095, 1094, 1200, 1415,1413, 1414, 1449, 1450, 1512, 1518, 1531,1584, 1644, 1666, 1716, 1725, 1732, 1734].Boussinesq [744, 1431]. box[733, 774, 812, 1241, 1483]. BPX [486].Branch [45, 388]. branched [558].breaking [1072, 1364, 1764]. bridge [1728].Bridging [1203]. Brinkman[51, 56, 105, 103, 795, 1098]. Broken[197, 360]. Brownian [407, 1728]. Broyden[1803]. bubble [783, 870]. bulk [687, 704].

bulk-surface [687, 704]. Burgers’[1548, 1216, 1524]. Burgers-like [1216].Burniston [54]. Burniston-Siewert [54].

Cahn [178, 94, 113, 268, 324, 619, 763, 887,888, 1189, 1385]. Cahn/Cahn [178].calculation [262, 286, 531, 897, 1255].calculus [1529]. Call [70]. Camassa [1733].Canham [886]. canonical [68]. capillarity[406]. capillary [220]. capturing [1524].Caputo [1638]. Caratheodory[694, 695, 1470]. cardiac [55]. cardinality[423]. Carlo [539, 861, 1129, 1180, 1280].cartoon [699]. case [38, 287, 555, 631, 732,737, 736, 1008, 1448, 1481, 1483]. Cauchy[264, 521, 548, 1193, 1453, 1468].Cauchy-type [548]. cavity [771]. cell[428, 725, 814, 839, 972]. cell-centred[428, 725, 972]. centered [713]. central[356, 1211, 1348]. central-difference [1348].central-upwind [356]. centre [1101].Centred [1674, 428, 725, 972]. certain[543, 624, 707, 858, 1006, 1139, 1450, 1761].CG [1419]. chain [1421]. chains [1192].Change[660, 1065, 611, 667, 1509, 1781, 1802].changes [681]. changing [787]. channel[1117]. chaos [1670]. Characteristic[297, 92, 323]. Cheap [1171]. chebfuns[1432]. Chebyshev[46, 245, 246, 320, 730, 885, 1117, 1207, 1216,1304, 1353, 1378, 1449, 1601, 1623, 1622,1699, 1720, 1739, 1741, 1750]. chemotaxis[1533]. choice [550, 1092, 1503]. Cholesky[446, 1631, 1802]. choosing [275]. Chordal[776]. Christoffel [596]. CIP [1759]. circle[368, 538, 869]. circular [771, 1303]. claims[1814, 614]. class[4, 118, 146, 352, 353, 363, 364, 398, 413, 456,519, 715, 752, 767, 832, 923, 935, 973, 1001,1107, 1126, 1127, 1218, 1295, 1390, 1498, 1522,1542, 1569, 1593, 1602, 1671, 1689, 1692].classical [116, 127]. classification [1572].Clement [96]. Clement-type [96].

Clenshaw [634, 1771, 13, 1770]. close [544].close-to-touching [544]. Closed[996, 189, 859, 1546]. Closed-form [996].closest [721]. Closing [357]. closure [84].clustering [1158]. codes [442, 945, 1578].coefficient[516, 913, 1093, 1123, 1389, 1462, 1540, 1744].coefficients[88, 286, 461, 463, 483, 684, 778, 854, 1027,1044, 1094, 1103, 1102, 1129, 1353, 1392,1454, 1502, 1670, 1720, 1794, 1807, 584].coercivity [160]. collection [1580].Collective [1319]. Collocation[42, 1133, 1225, 1661, 20, 121, 233, 259, 261,267, 339, 348, 347, 351, 353, 548, 624, 646, 808,840, 872, 883, 909, 935, 974, 1100, 1108, 1117,1173, 1204, 1207, 1216, 1265, 1285, 1343, 1441,1613, 1623, 1622, 1657, 1710, 1752, 1753, 954].collocation-type [1173]. combination[885, 1508]. combinations [877]. combined[295, 422, 1709]. committed [1700].commutator [266, 265]. commutator-free[266, 265]. Compact[360, 818, 612, 802, 1620]. compactly [479].companion [592]. Comparison[210, 417, 54, 167, 397, 412, 803].Comparisons [779, 1580]. compatible[280, 653, 771]. complement [851, 1614].complementarity [144, 1732, 1731].complementary [1662]. complete[291, 1702]. completely [561, 1776].completion [40, 460]. Complex[117, 1051, 99, 226, 596, 686, 843, 923, 1068,1297, 1304, 1414, 1553, 1720, 1739].complexes [723]. Complexity[832, 891, 420, 555, 566, 896, 1419].component [175, 176, 177, 271, 1728].Componentwise [1732, 482, 1528].Composite [1461, 311, 536, 1755].compound [623, 1145]. compressible[276, 805, 856, 972, 1125, 1287].compressible-gas [856]. Computable[25, 24, 28, 106, 974, 1200, 1725, 23, 1707].Computation [1101, 1329, 1330, 1365, 1470,

1628, 5, 30, 256, 306, 320, 448, 647, 705, 712,846, 1039, 1176, 1177, 1202, 1265, 1339, 1376,1442, 1680, 1683, 1720]. Computational[472, 608]. Computations[965, 566, 1280, 1291]. computed [600, 680].computer [944, 943]. computerized [1469].computers [1413]. Computing[151, 323, 322, 666, 984, 1084, 1651, 1652,1798, 1808, 69, 455, 509, 544, 740, 801, 960,1331, 1423, 1590, 1775]. concentrated [685].concentration [176].concentration-dependent [176].concerning [1435]. condition[60, 61, 163, 186, 201, 221, 224, 326, 482, 738,765, 769, 826, 912, 1214, 1758, 1802, 1046].conditional [666]. conditioned[133, 850, 1646]. conditioning[112, 772, 1523]. Conditions[1478, 92, 209, 241, 276, 295, 367, 393, 422,434, 519, 637, 645, 729, 746, 752, 759, 928,970, 971, 993, 1156, 1182, 1282, 1385, 1436,1602, 1617, 1630, 1691, 1748]. conducting[297]. conduction [23]. conductivity [674].configuration [1144]. conformal[439, 693, 803, 1146, 1179, 1207].Conforming [401, 931, 1117, 95, 340, 427,688, 795, 827, 932, 1197, 1228, 1395, 1399].conjecture [1435]. Conjugate[1297, 142, 939, 1068, 1491, 1597, 1709, 1799].conjugate-gradient [1068]. connected[1146, 1343]. connecting [256, 1365].Conservation [514, 438, 451, 499, 530, 788,830, 940, 970, 971, 1011, 1148, 1337, 1341,1566, 1584, 1616, 1674, 1795]. Conservative[391, 1533, 1544, 1485, 1486, 1497].conserving [474, 871]. consistency[1569, 1675]. consistent [630, 1801].consolidation [1549]. Constant[27, 631, 1074, 1672, 1782]. constants[935, 1660, 1706]. constituted [1641].constrained[43, 87, 200, 222, 320, 466, 554, 711, 774, 781,890, 1138, 1241, 1370, 1419, 1555, 1567, 1633].Constraining [1149]. constraint [1090].

constraints [332, 420, 581, 1310, 1462].constricted [1117]. Constructing[1445, 1366]. Construction[1037, 1179, 719, 957, 1095, 1751, 1778].Constructive [1073]. contact[22, 89, 166, 212, 220, 488, 594, 625, 1715].context [1288, 1582]. contingent[1814, 614]. continuation[664, 789, 841, 1030, 1464]. continued [558].Continuous[742, 1532, 1609, 26, 371, 404, 791, 1081,1095, 1190, 1244, 1497, 1672, 1736].continuum [1222, 1421]. contour [1745].contours [289]. contraction [1360].contrast [372]. control[41, 86, 85, 98, 108, 146, 332, 336, 337, 386,415, 425, 466, 671, 687, 841, 865, 866, 864, 930,940, 1090, 1181, 1421, 1451, 1483, 1489, 1560].control-state [466]. controlled [944, 943].Convection[298, 299, 128, 152, 169, 227, 341, 400, 419,427, 436, 477, 473, 465, 502, 541, 586, 633, 673,682, 747, 814, 833, 919, 926, 1123, 1128, 1143,1215, 1231, 1233, 1242, 1255, 1262, 1261, 1276,1275, 1291, 1336, 1373, 1375, 1408, 1547, 1588,1722, 1724, 1748, 1767, 1809, 562, 587, 1643].convection-diffusion[128, 169, 341, 400, 427, 436, 473, 673, 747,814, 833, 926, 1123, 1128, 1231, 1233, 1262,1261, 1276, 1275, 1291, 1336, 1373, 1547,1588, 1722, 1748, 1767, 587].convection-diffusion-reaction [541].Convection-diffusion-type [1643].convection-dominated [152, 919, 1215].converge [1463]. Convergence[8, 39, 140, 149, 174, 266, 265, 339, 361, 406,413, 437, 530, 539, 567, 566, 635, 648, 670, 740,767, 800, 806, 810, 820, 829, 956, 1000, 1026,1079, 1103, 1102, 1136, 1170, 1178, 1187, 1261,1385, 1395, 1537, 1572, 1670, 1730, 1729, 1744,1754, 1755, 1765, 1763, 1762, 1767, 1779, 1800,1807, 1698, 36, 50, 60, 61, 112, 138, 144, 152,204, 215, 249, 269, 303, 304, 305, 324, 337,350, 444, 443, 449, 453, 462, 480, 540, 548,

553, 569, 595, 602, 619, 629, 651, 693, 696,739, 752, 758, 768, 769, 848, 849, 908, 952].convergence[962, 970, 971, 987, 1020, 1030, 1021, 1035,1051, 1067, 1078, 1081, 1161, 1172, 1184,1220, 1221, 1249, 1276, 1274, 1273, 1281,1311, 1334, 1333, 1363, 1382, 1394, 1458, 1466,1478, 1476, 1480, 1482, 1490, 1491, 1509, 1554,1559, 1564, 1570, 1592, 1610, 1666, 1668, 1671,1722, 1727, 1791, 1792, 1794, 1799, 1046].Convergent [1004, 1127, 1380, 1598, 155,156, 200, 451, 475, 502, 757, 821, 831, 865,866, 999, 1002, 1091, 1125, 1277, 1389, 1647].Conversion [1664]. convex[118, 217, 263, 413, 420, 604, 862, 959, 958,1138, 1420, 1613]. Convexity [1110, 611].Convexity-preserving [1110].Convolution [448, 933, 160, 445, 934, 941,1247, 1256, 1257, 1501]. Cook [1189].coordinate [281, 1448]. coordinates[1361, 1628]. corank [45]. corank- [45].corner [968, 1262]. corotational [194].Corrected [1295, 1097]. correcting [556].correction [169, 172, 734, 930, 972, 1465].corrections [311, 1443]. corrector[684, 1693, 1697, 1695, 1696]. Correlation[40, 133, 290, 984, 1492, 1798].corresponding [775, 1132]. Corrigendum[179, 283, 458, 642, 866, 1220, 1386]. Cosine[1781, 402, 517, 518]. Cotes [1212, 1761].counterexample [915]. counterpart [154].Coupled [1525, 107, 239, 240, 312, 471, 687,704, 727, 764, 1013, 1136, 1234, 1248, 1277,1408, 1504, 1547, 1705, 1805]. Coupling[414, 6, 47, 51, 57, 224, 339, 381, 418, 429,626, 735, 766, 827, 828, 1137, 1222, 1299,1332, 1530]. couplings [508]. covariance[551]. covariant [599]. Cox [540]. CQ [159].CQ-BEM [159]. crack [447]. cracks [214].Craig [1767]. Crank[565, 877, 1089, 1268, 1509]. Crank-Gupta[565]. criss [369]. criss-cross [369]. criteria[275, 1344]. criterion [208]. critical[612, 703, 1688]. critical-state [703].

criticality [1280]. cross [253, 297, 369, 777].cross-diffusion [253]. cross-section [297].Crouzeix [1162, 1230]. cubature[225, 775, 1279]. Cubic[1300, 35, 154, 216, 420, 536, 574, 776, 1133,1289, 1443, 1487, 1607, 1610, 1618]. curl[132, 498, 1007, 584]. curl-curl [498].current[6, 231, 230, 297, 616, 698, 1510, 1520, 1608].curse [1728]. Curtis [1770, 1771, 13, 634].curvature[191, 552, 701, 728, 763, 793, 1170, 1405].Curve [524, 192, 536, 594, 701, 1417].curved [182, 186, 625, 975, 1530]. curves[115, 189, 196, 198, 199, 292, 714, 748, 750,1546]. curvilinear [516]. cusps [1621]. cut[374, 1188]. Cycle [1765]. cyclic [568, 1448].cylinder [846]. cylindrical [1182].

D [64, 213, 301, 419, 437, 483, 502, 703, 1043,1151, 1196, 1274, 1294]. dam [1662].damage [1525]. damped [1191, 1493].Darboux [596]. Darboux-type [596].Darcy [47, 51, 131, 239, 240, 330, 471, 626,950, 1299, 1332, 1805]. Data[547, 677, 19, 182, 230, 320, 419, 538, 578,605, 604, 610, 611, 627, 748, 771, 894, 1010,1019, 1040, 1088, 1266, 1429, 1650, 1741,1766, 1767, 1773]. data-reduction [1266].DDFV [64, 309]. decaying [868].decomposable [1455]. decomposing [699].decomposition[111, 244, 255, 297, 428, 761, 823, 843, 852,895, 896, 919, 952, 1263, 1627, 1677, 1783].decompositions [254, 326, 507, 506, 638,801, 1018, 1114, 1632, 1796]. decoupled[156]. Decoupling [1313]. Dedication[1064]. deep [300]. defect [311, 734, 172].deferred [734, 930]. deficient [221].definite [947, 1479, 1579]. definiteness[208]. defocusing [3]. Degasperis [509].Degenerate [1079, 9, 397, 413, 789, 837,881, 1123, 1608, 1711, 1724]. degree[404, 473, 1110]. Delay [914, 149, 151, 219,

323, 358, 916, 915, 1015, 1240, 1451, 1545,1691, 1763, 1797, 1045, 1697].delay-integro-differential [1797]. delays[351, 353, 1015, 1024, 1672]. delta [141].Delves [54]. Delves-Lyness [54].denominator [604]. density [426, 698, 799].depend [1666]. dependent[6, 30, 94, 160, 162, 168, 176, 237, 241, 346,502, 560, 586, 677, 681, 914, 961, 981, 994,1014, 1121, 1144, 1152, 1268, 1338, 1502,1633, 1724, 585]. derivation [1153].derivative [478, 523, 606, 779, 875, 1218,1454, 1517, 1638, 1804]. derivative-free[478, 523, 1218]. derivatives [289, 669, 1352,1359, 1475, 1651, 1652, 1683, 1725, 1782].derived [1324]. Descent [36, 281, 552, 553,564, 582, 908, 1080, 1448, 1799]. describing[243]. Design [1161, 1656, 837, 1655].determinants [1054, 1689].Determination [885, 133, 606, 876, 991].deterministic [511, 832, 1246]. DeTurck[701]. Developments [1475, 863, 1412].Devising [506, 508, 507]. DG [971, 683, 932,1168, 1169, 1237, 1495, 1805, 1809, 584].DGFEM [1565, 1749]. diagonal [537, 1473].diagonally [394, 1581]. Difference[9, 4, 35, 33, 99, 165, 274, 277, 338, 429, 455,456, 502, 533, 549, 615, 637, 689, 731, 752,999, 1000, 1056, 1076, 1103, 1102, 1123, 1147,1148, 1182, 1233, 1260, 1276, 1274, 1273,1312, 1324, 1327, 1337, 1348, 1361, 1381,1508, 1566, 1584, 1637, 1638, 1640, 1647,1711, 1713, 1744, 1776, 1788, 1789].difference-type [1776]. differences[547, 818]. different [1664].differentiability [729]. differentiable[876, 1454]. differential[1, 91, 135, 151, 172, 219, 287, 323, 357, 358,378, 394, 402, 407, 424, 449, 452, 472, 679,690, 691, 696, 704, 713, 718, 723, 782, 785,794, 808, 847, 898, 906, 907, 914, 941, 946,979, 1007, 1017, 1015, 1033, 1050, 1070, 1082,1095, 1134, 1142, 1141, 1165, 1190, 1223, 1220,1221, 1225, 1232, 1240, 1243, 1260, 1270, 1283,

1284, 1285, 1318, 1345, 1357, 1368, 1383, 1392,1394, 1427, 1438, 1439, 1441, 1470, 1505, 1506,1513, 1532, 1568, 1586, 1628, 1657, 1672, 1684,1691, 1750, 1751, 1797, 1813, 1045, 1701].differential-algebraic [394, 1427].differential-functional [1813].differentiation[162, 395, 784, 937, 1061, 1135, 1757, 1778].diffuse [705, 1359]. diffusion[17, 99, 128, 152, 169, 203, 253, 286, 312, 322,341, 397, 400, 419, 427, 433, 437, 435, 436,473, 465, 503, 502, 541, 586, 617, 633, 653, 668,673, 682, 686, 688, 705, 708, 717, 725, 726, 747,792, 814, 833, 898, 926, 1034, 1085, 1093, 1087,1123, 1128, 1143, 1151, 1152, 1168, 1175, 1215,1231, 1233, 1234, 1236, 1242, 1246, 1262, 1261,1276, 1273, 1275, 1277, 1291, 1336, 1333, 1349,1373, 1375, 1381, 1382, 1384, 1411, 1458, 1472,1481, 1543, 1547, 1562, 1588, 1639, 1643, 1642,1675, 1722, 1724, 1748, 1763, 1767, 1809, 614].diffusion [587]. diffusion-uniform [1168].diffusions [12]. diffusive [1246].diffusivity [717]. digital [618, 860]. digits[1413, 1686]. dilute [194]. Dimension[953, 169, 474, 573, 725, 818, 968, 1336, 1338,1437, 1637]. dimension-splitting [968].dimensional [32, 90, 116, 205, 249, 296, 309,314, 330, 338, 347, 433, 495, 497, 515, 719,732, 736, 791, 814, 918, 962, 978, 1085, 1115,1135, 1198, 1211, 1219, 1237, 1269, 1273,1275, 1317, 1392, 1430, 1481, 1504, 1572,1584, 1598, 1717, 1767, 1768, 1769, 943].dimensionality [1728]. dimensionally [25].dimensions[9, 102, 134, 164, 207, 539, 720, 754, 931, 1016,1215, 1236, 1251, 1346, 1347, 1474, 1677].diminishing [938, 940]. diodes [29]. Dirac[419, 1445, 1788]. Direct[535, 712, 557, 897, 957, 1167]. direction[261, 460, 503, 502]. directions [876].Dirichlet [866, 11, 157, 422, 737, 745, 865,864, 1298, 1355, 1436].Dirichlet-to-Neumann [157]. disc [955].discontinuities [379, 380]. Discontinuous

[251, 349, 522, 759, 834, 1008, 1718, 27, 91,94, 113, 139, 195, 330, 340, 374, 381, 400,404, 415, 474, 462, 463, 498, 499, 508, 509,541, 620, 633, 636, 682, 717, 763, 838, 837,835, 833, 905, 1007, 1009, 1010, 1027, 1118,1123, 1160, 1187, 1270, 1294, 1338, 1337,1382, 1384, 1611, 1731, 584]. discovered[929]. discrepancy [1092]. Discrete[46, 84, 111, 223, 743, 753, 1096, 1122, 1205,1738, 2, 9, 64, 90, 123, 121, 159, 162, 201,252, 280, 302, 320, 356, 395, 474, 484, 515,595, 627, 674, 723, 734, 742, 771, 942, 961,1000, 1040, 1085, 1120, 1140, 1170, 1211,1282, 1321, 1480, 1570, 1588, 1609, 1641,1648, 1656, 1679, 1795, 587]. discrete-time[734]. Discretising [50]. Discretization[21, 312, 726, 886, 1316, 1357, 1373, 1582, 17,35, 56, 64, 84, 155, 157, 204, 239, 238, 234,240, 243, 325, 330, 333, 341, 416, 561, 629,652, 653, 670, 679, 700, 824, 898, 904, 907,963, 1043, 1049, 1055, 1105, 1142, 1141, 1161,1253, 1259, 1260, 1274, 1318, 1322, 1325,1381, 1386, 1387, 1420, 1451, 1458, 1525,1529, 1571, 1583, 1608, 1727, 562].discretizations[3, 63, 109, 296, 335, 419, 422, 453, 716, 786,848, 887, 987, 992, 1007, 1034, 1143, 1155,1163, 1314, 1629, 1705, 584, 585, 1046, 1701].discretized [39, 362, 387, 811, 873].Discretizing [454, 489]. discs [544]. disk[225]. dispersion [1069].dispersion-managed [1069]. dispersive[277, 1187]. Displacement [1005].dissipation [356]. dissipative [952, 1033].Dissipativity [1024]. distance [1528, 1743].distributed [146]. distribution[775, 821, 1686]. div [786, 795, 1472].divergence[64, 131, 751, 931, 1431, 1519, 1796].divergence-free[751, 931, 1431, 1519, 1796]. diverse [1580].Divided [1337, 547]. do [1463]. Domain[1627, 1677, 10, 104, 111, 157, 244, 255, 368,428, 625, 627, 735, 761, 813, 823, 852, 934,

952, 1018, 1187, 1261, 1263, 1273, 1362, 1571,1783, 1788, 1800]. domains[25, 28, 95, 96, 98, 131, 132, 137, 214, 342,468, 480, 686, 744, 811, 954, 1074, 1084,1146, 1263, 1461, 1343, 1442, 1496, 1519].dominated [152, 919, 1215, 1408].Donaldson [1516]. Doppler [1288]. double[1001, 1179, 1402]. double-well [1402].doubling [712, 923]. doubly [1343].Douglas [1480]. downdating [1539]. DPG[798]. drift [286, 397, 437, 435, 824].drift-diffusion [397, 437, 435]. drift-flux[824]. driven [407, 423, 436, 1148, 1243].drops [965]. Dual[1676, 268, 1185, 1401, 1492]. Dual-primal[1676]. duality [64]. due [968]. dumbbell[194]. Dynamic [22, 216, 329, 406, 510, 993,1156, 1190, 1385, 1525, 1549]. dynamical[256, 454, 1024]. Dynamics [3, 362, 733,739, 856, 1050, 1051, 1144, 1202, 1685].

E-based [6]. Eckhoff [1465]. eddy[6, 231, 230, 616, 1510, 1520, 1608]. edge[101, 1242, 1245, 1565, 1676]. edges [95].Editorial [77, 659, 1663, 1372]. Editorship[660, 1065]. educational [496]. effect[727, 1790]. effective [667, 1423]. effects[85, 1099, 1597]. Efficiency [855, 270].Efficient [286, 709, 1111, 1176, 1198, 1576,1577, 580, 839, 920, 1611, 1635].eigenelement [1172]. eigenpairs [262].eigenproblems [1446]. eigensystems[1651]. Eigenvalue[10, 545, 62, 214, 255, 272, 344, 398, 464, 490,494, 676, 790, 810, 816, 831, 1086, 1112, 1113,1159, 1198, 1326, 1331, 1329, 1330, 1464,1649, 1734, 1760, 1768, 1774]. eigenvalues[69, 302, 306, 322, 455, 566, 600, 804, 1084,1159, 1265, 1331, 1398, 1506, 1652].eigenvectors [1652]. Elastic [1481, 166,196, 198, 282, 410, 447, 559, 761, 1282].elasticity[276, 412, 506, 870, 1185, 1369, 1749, 1769].elastoacoustic [104]. elastodynamics

[85, 91, 845]. elastoplastic [232]. electric[248, 698]. electrical [312, 1091].electrically [297]. Electromagnetic [1083].electron [1144]. electrophysiology [55].electrostatic [544]. Element[1079, 11, 23, 27, 24, 28, 44, 43, 47, 51, 55, 62,63, 67, 92, 95, 101, 100, 106, 107, 110, 128,129, 130, 131, 132, 140, 155, 163, 164, 167,182, 183, 184, 185, 186, 172, 171, 187, 181,175, 176, 177, 178, 174, 193, 179, 180, 203,211, 213, 214, 224, 229, 231, 236, 235, 239,238, 247, 251, 258, 282, 301, 311, 312, 316,329, 332, 340, 373, 379, 380, 381, 384, 401,399, 407, 418, 412, 417, 415, 416, 448, 453, 461,476, 467, 464, 480, 481, 487, 492, 508, 522].element[549, 566, 594, 593, 602, 619, 635, 648, 650,656, 673, 674, 682, 700, 702, 698, 703, 704,720, 722, 738, 745, 744, 746, 761, 764, 762,793, 804, 813, 816, 821, 823, 827, 826, 838,837, 836, 853, 857, 865, 866, 864, 870, 924,925, 948, 950, 951, 961, 966, 967, 977, 978,993, 994, 995, 1008, 1009, 1013, 1016, 1027,1071, 1085, 1086, 1087, 1091, 1097, 1107,1115, 1122, 1131, 1136, 1137, 1143, 1154, 1162,1165, 1174, 1183, 1185, 1188, 1191, 1189, 1200,1201, 1203, 1209, 1213, 1224, 1230, 1231, 1253,1255, 1262, 1261, 1292, 1293, 1299, 1321].element[1326, 1334, 1336, 1332, 1349, 1351, 1369,1377, 1386, 1387, 1393, 1397, 1402, 1411,1420, 1431, 1436, 1439, 1440, 1451, 1458,1472, 1473, 1493, 1504, 1505, 1513, 1520,1530, 1532, 1533, 1535, 1538, 1547, 1563,1572, 1573, 1599, 1626, 1641, 1643, 1642,1653, 1667, 1669, 1676, 1706, 1727, 1719,1735, 1768, 1769, 1777, 1785, 1804, 1801, 563].elements[26, 127, 134, 228, 317, 404, 418, 414, 425,427, 497, 572, 678, 688, 732, 783, 820, 878,881, 931, 965, 1083, 1098, 1127, 1155, 1197,1228, 1245, 1349, 1350, 1381, 1399, 1486,1519, 1536, 1558, 1592, 1639, 1800].elimination

[408, 481, 879, 1415, 1632, 1780]. Elliott[1516]. Elliott-Donaldson [1516]. ellipses[538]. elliptic[2, 41, 45, 66, 67, 88, 127, 163, 182, 184, 185,186, 258, 260, 278, 291, 332, 336, 338, 373,392, 398, 401, 399, 434, 475, 463, 479, 522, 531,564, 593, 635, 648, 650, 655, 669, 700, 702, 713,718, 759, 794, 816, 835, 857, 865, 866, 910, 925,991, 1008, 1007, 1009, 1010, 1027, 1103, 1118,1122, 1129, 1134, 1201, 1248, 1264, 1294, 1298,1346, 1362, 1380, 1464, 1512, 1599, 1643, 1642,1670, 1765, 1783, 1786, 1794, 1807, 562, 584].elliptic-hyperbolic [648]. emanating[257]. embedded [379, 641, 642].embedding [1453]. embeddings [360].empirical [822]. enclosures [38]. End[209]. endpoint [1468]. endpoints [799].Energy [250, 938, 1097, 560, 630, 830, 886,1402, 1656, 1669, 1717]. energy-based[1669]. Energy-corrected [1097].energy-dependent [560].Energy-diminishing [938].Energy-preserving [250, 1717]. enhanced[1684]. enhancement [923, 1337].Enhancing [1760]. Enlarged [37]. Enright[979]. ensemble [919]. ensemble-proper[919]. ensembles [920]. ensuring [719].enthalpy [667, 697, 1213, 1635, 1713].enthalpy-type [1635]. Entries[70, 1054, 1518]. entropy [845, 1496, 1795].Envelope [847, 1]. enveloping [1291].environment [684]. epidemic [1246].equal [821]. equality [1310, 1370]. equally[1443]. equation[1, 3, 5, 19, 35, 38, 90, 94, 106, 113, 120, 122,125, 124, 127, 155, 156, 167, 169, 211, 240,248, 296, 313, 316, 325, 324, 350, 362, 387,395, 407, 419, 425, 427, 432, 447, 448, 451,461, 468, 462, 484, 489, 500, 509, 515, 533, 546,560, 561, 565, 601, 616, 619, 624, 645, 668, 670,672, 673, 684, 704, 710, 724, 728, 733, 737, 736,753, 763, 777, 794, 808, 823, 829, 830, 836, 873,898, 910, 913, 921, 922, 934, 947, 954, 955, 986,999, 1000, 1025, 1023, 1022, 1047, 1069, 1093].

equation[1088, 1108, 1111, 1161, 1178, 1181, 1191,1190, 1189, 1196, 1207, 1219, 1228, 1239,1250, 1265, 1278, 1293, 1306, 1322, 1323,1335, 1361, 1373, 1377, 1383, 1381, 1382,1385, 1396, 1400, 1428, 1455, 1458, 1493,1524, 1544, 1548, 1563, 1561, 1562, 1595,1596, 1602, 1679, 1726, 1721, 1733, 1744, 1748,1759, 1777, 1776, 1781, 1801, 1810, 1811].Equations[21, 1079, 7, 9, 32, 33, 31, 53, 56, 63, 88, 91, 92,93, 102, 103, 123, 121, 128, 130, 131, 135, 140,142, 141, 149, 151, 153, 160, 162, 164, 182,183, 184, 185, 186, 172, 188, 218, 219, 222,227, 229, 233, 236, 239, 241, 240, 243, 245,249, 251, 250, 266, 265, 267, 277, 280, 285,286, 301, 323, 341, 348, 347, 351, 349, 353,356, 357, 358, 378, 385, 391, 405, 415, 437,436, 445, 444, 443, 449, 452, 473, 474, 465, 481,485, 497, 534, 548, 549, 564, 581, 583, 589].equations[593, 598, 612, 613, 629, 652, 656, 674, 679,686, 687, 688, 690, 691, 713, 717, 718, 741,744, 746, 747, 756, 761, 782, 785, 795, 800,805, 807, 847, 867, 871, 883, 884, 882, 887,905, 907, 909, 914, 916, 915, 923, 932, 941,946, 953, 962, 972, 977, 979, 991, 990, 988,992, 993, 998, 1007, 1017, 1033, 1049, 1050,1066, 1070, 1071, 1076, 1081, 1082, 1085, 1095,1094, 1096, 1103, 1102, 1105, 1121, 1119, 1120,1126, 1123, 1128, 1134, 1142, 1141, 1143, 1144,1147, 1157, 1158, 1163, 1165, 1173, 1182, 1187,1192, 1193, 1197, 1211, 1216, 1223, 1218].equations[1215, 1220, 1221, 1225, 1229, 1240, 1238,1237, 1243, 1256, 1257, 1258, 1259, 1260,1264, 1269, 1270, 1268, 1272, 1281, 1282,1283, 1284, 1285, 1287, 1307, 1308, 1317, 1318,1320, 1327, 1351, 1355, 1356, 1358, 1357, 1368,1369, 1371, 1380, 1384, 1392, 1394, 1411, 1438,1439, 1440, 1441, 1453, 1470, 1478, 1494, 1501,1505, 1507, 1513, 1514, 1532, 1542, 1543, 1546,1550, 1551, 1568, 1570, 1578, 1583, 1586, 1594,1593, 1598, 1606, 1603, 1604, 1605, 1612, 1613,

1620, 1623, 1622, 1627, 1629, 1657, 1672, 1675,1678, 1691, 1722, 1729, 1724, 1717, 1735, 1739,1750, 1751, 1765, 1763, 1767, 1782, 1794].equations [1797, 1809, 1813, 585, 1045, 1661,1701, 1698, 1697, 918]. equidistributing[1779]. equidistribution [433]. equilateral[1036]. Equilibrated [716, 542, 1396].equilibration [316]. equilibration-based[316]. equilibria [1568]. Equilibrium[1556, 39, 187, 672, 1202, 1571]. equispaced[126, 657, 778]. Equivalence[1434, 1445, 1772, 1773].equivalence-preserving [1445]. Errata[517, 658, 1284]. Erratum [60, 305, 364, 690,797, 971, 1112, 1226, 1330, 1625, 1771, 299].Error[19, 44, 67, 68, 98, 139, 164, 287, 337, 393, 403,461, 500, 533, 697, 724, 805, 1087, 1145, 1181,1215, 1233, 1268, 1354, 1403, 1413, 1414,1449, 1489, 1493, 1501, 1531, 1560, 1563,1584, 1637, 1640, 1716, 585, 23, 25, 27, 24,28, 86, 87, 89, 96, 97, 103, 106, 107, 128, 167,175, 177, 195, 213, 235, 241, 242, 243, 272,316, 325, 331, 329, 371, 372, 389, 392, 415,419, 426, 476, 472, 465, 463, 488, 541, 542,573, 594, 600, 612, 625, 633, 634, 636, 639,643, 685, 687, 702, 716, 764, 767, 817, 821].error [838, 835, 836, 833, 853, 864, 886, 905,918, 926, 974, 980, 992, 993, 1007, 1009, 1033,1040, 1080, 1090, 1095, 1094, 1119, 1120, 1128,1131, 1140, 1150, 1151, 1152, 1160, 1165, 1166,1167, 1168, 1169, 1171, 1174, 1175, 1200, 1207,1230, 1245, 1270, 1287, 1301, 1311, 1320, 1323,1341, 1369, 1396, 1400, 1412, 1415, 1421, 1429,1437, 1444, 1488, 1505, 1512, 1543, 1582, 1587,1626, 1648, 1667, 1707, 1715, 1725, 1732, 1766,1759, 1788, 1789, 1809, 587, 1700, 1694, 204].Errors[1704, 1296, 1344, 1450, 1712, 1786, 1790].Essential [273, 1298]. estimate[19, 243, 379, 476, 633, 651, 702, 1166, 1214,1230, 1707, 1789, 1809]. Estimates[221, 67, 68, 96, 98, 97, 107, 128, 162, 183, 185,204, 213, 287, 295, 359, 371, 392, 419, 461,

465, 463, 500, 533, 573, 625, 634, 716, 724,764, 805, 806, 838, 853, 864, 886, 896, 905,918, 926, 974, 993, 1040, 1090, 1121, 1119,1120, 1131, 1140, 1145, 1151, 1152, 1165,1167, 1168, 1245, 1270, 1268, 1287, 1332,1337, 1354, 1369, 1400, 1429, 1437, 1493,1501, 1537, 1543, 1549, 1563, 1587, 1626, 1637,1640, 1648, 1667, 1679, 1724, 1766, 1788, 587].Estimating [799]. estimation[44, 66, 96, 272, 321, 372, 389, 488, 639, 643,1093, 1171, 1174, 1175, 1223, 1311].estimator[103, 331, 541, 542, 1396, 1444, 1715].estimators [423, 1128]. Euler[540, 844, 932, 962, 972, 1184, 1211, 1317,1389, 1392, 1727]. Euler-type [1317].Eulerian [1722, 1724]. Evaluation[558, 1012, 122, 205, 207, 291, 420, 543, 603,839, 1001, 1100, 1389, 1409, 1414, 1522].evolution [53, 63, 161, 188, 266, 601, 957,988, 1081, 1322, 1323, 1629]. evolutionary[612, 671]. evolutions [192]. evolving[678, 679, 705, 1154, 1155, 1260]. Exact[279, 1006, 1522, 493, 1138, 1241, 1550, 1570].exactly [1431]. exactness [342]. example[1791]. exchange [500]. Existence[755, 526, 1095, 1482]. expansion[778, 1166, 1233, 1360, 1721].expansion-contraction [1360]. expansions[15, 328, 363, 1037, 1062, 1063, 1320, 1541,364]. Expected [772]. experiments [212].Explicit [1221, 1778, 1796, 33, 31, 93, 389,453, 898, 899, 980, 1081, 1272, 1302, 1427,1499, 1624, 1625, 1220]. exploration [1552].Exponential[989, 1564, 49, 266, 265, 315, 383, 431, 480,520, 715, 741, 998, 1031, 1053, 1069, 1132,1179, 1242, 1253, 1281, 1302, 1309, 1334,1333, 1368, 1428, 1586, 1587, 1595, 1731].exponential-fitting [520, 1595].Exponentially [831, 475, 868, 1596, 1646].exponentially-fitted [1596]. exponentials[1741]. expressed [52]. extended[784, 1692]. Extending [516]. extensible

[1573]. extension [694, 1673, 1775, 588].extensions [774, 1354]. exterior[164, 342, 381, 544, 720, 737, 735]. external[1506]. extrapolation[662, 734, 860, 1003, 1075, 1172, 1228, 1427,1501, 1576, 1577, 1590, 1716].

Faber [1442]. fabrication [944, 943]. face[688]. factor [1271]. factorization[281, 440, 446, 512, 658, 663, 661, 1511, 1134,1527, 1539, 590]. factorization-related[1134]. factorizations [862]. factors[996, 1507, 1631, 1802]. Falk [1789]. falling[32]. Families [640, 1750]. family [26, 436,1098, 1177, 1410, 1710, 1724, 1803, 1804]. far[1084]. Fast[205, 207, 291, 328, 721, 780, 846, 982, 1391,1680, 1720, 1757, 135, 210, 843, 942, 1043,1100, 1182, 1406, 1463, 1500, 1601, 1654].features [39, 1028]. Feedback [904]. Fejer[694, 695]. Fem[1275, 6, 66, 156, 339, 392, 413, 410, 411, 685,735, 809, 810, 1333, 1335, 1564, 1759].FENE [179, 180]. FENE-P [179, 180].Fermi [38]. ferromagnetic [1608]. FETI[1676]. few [1114]. FFT [942, 1457].FFT-based [942]. FFTRR [843].FFTRR-based [843]. Fickian [203].fictitious [735, 1362]. fidelity [699].Fiedler [592]. field [190, 248, 295, 476, 500,706, 698, 1131, 1140, 1637]. fields[544, 751, 854, 1084, 1292]. Fife [1140].filament [1615]. fill [658, 663]. film[32, 174]. Filon [1771, 634, 1721, 1770].Filon-type [1771, 1721, 1770]. filters [1650].finance [984]. Finding[609, 1195, 1281, 592]. Finite[11, 35, 100, 186, 187, 181, 176, 178, 180, 203,214, 258, 282, 338, 380, 407, 434, 594, 678,698, 704, 738, 813, 826, 853, 857, 881, 973,993, 994, 1079, 1115, 1191, 1189, 1262, 1374,1393, 1402, 1538, 1566, 1643, 1642, 4, 23, 26,27, 24, 28, 44, 43, 47, 51, 62, 63, 65, 67, 92, 95,99, 101, 106, 107, 110, 127, 128, 129, 134, 140,

155, 163, 164, 165, 167, 182, 183, 184, 185,172, 171, 175, 177, 174, 193, 206, 211, 213,216, 224, 229, 228, 231, 239, 238, 251, 253].finite[252, 274, 277, 308, 311, 312, 316, 317, 329,332, 373, 379, 397, 406, 418, 414, 412, 417,415, 416, 425, 427, 428, 429, 437, 435, 436,451, 453, 455, 456, 461, 476, 464, 487, 492,495, 497, 502, 510, 522, 533, 549, 566, 572,593, 602, 603, 619, 623, 648, 651, 650, 652, 656,673, 674, 682, 689, 688, 694, 700, 702, 707, 703,713, 722, 724, 725, 728, 727, 731, 745, 744, 746,761, 764, 762, 783, 793, 804, 814, 818, 820, 821,823, 827, 838, 837, 836, 865, 866, 864, 878].finite[924, 925, 948, 950, 951, 961, 965, 966, 967,999, 1000, 1008, 1009, 1013, 1016, 1021, 1056,1071, 1085, 1086, 1087, 1091, 1097, 1103,1102, 1107, 1122, 1127, 1131, 1135, 1136,1137, 1143, 1147, 1148, 1154, 1155, 1162, 1165,1174, 1183, 1185, 1188, 1197, 1200, 1201, 1209,1213, 1212, 1222, 1220, 1221, 1224, 1228, 1231,1253, 1255, 1261, 1276, 1274, 1273, 1292, 1293,1299, 1326, 1327, 1334, 1336, 1332, 1344, 1349,1350, 1351, 1361, 1377, 1381, 1385, 1386, 1387,1395, 1397, 1399, 1408, 1411, 1420, 1431, 1436,1439, 1440, 1451, 1458, 1472, 1473, 1493, 1504,1505, 1513, 1520, 1519, 1530, 1532, 1533].finite [1535, 1536, 1547, 1558, 1563, 1572,1573, 1584, 1592, 1599, 1616, 1626, 1637,1638, 1640, 1641, 1645, 1653, 1667, 1669,1676, 1706, 1711, 1713, 1726, 1727, 1735,1744, 1761, 1769, 1785, 1786, 1787, 1788,1789, 1800, 1804, 1801, 1814, 562, 179, 943].Finite-difference [338, 1566, 4, 274, 455,456, 731, 999, 1103, 1102, 1276, 1274, 1273,1361, 1381, 1637, 1713]. finite-dimensional[495, 1135, 943]. Finite-element[100, 186, 187, 203, 853, 857, 1191, 1189, 1393,1643, 1642, 27, 62, 67, 101, 163, 164, 182, 183,184, 185, 172, 171, 174, 213, 231, 239, 311,312, 373, 379, 476, 487, 593, 648, 682, 702,703, 746, 827, 925, 961, 966, 1009, 1086, 1131,1137, 1143, 1183, 1185, 1200, 1213, 1255, 1349,

1351, 1386, 1387, 1397, 1420, 1458, 1473, 1533,1572, 1573, 1599, 1626, 1669, 1676, 1735].finite-element-based [155]. finite-part[603, 623, 707, 1212, 1645, 1761].finite-range [1222]. finite-sum [216].Finite-volume [434, 65, 312, 437, 435, 487,510, 648, 652, 725, 814, 1021, 1385, 1786].Finite-volume-element [258]. First [1630,17, 222, 291, 349, 350, 412, 417, 450, 690,691, 882, 1057, 1233, 1258, 1317, 1604, 1605].first-kind [350]. First-order[1630, 17, 412, 417, 690, 691, 1057, 1233]. fits[171]. Fitted [184, 669, 17, 1021, 1596, 1726].fitting[520, 535, 538, 551, 578, 621, 622, 1595].FitzHugh [55]. fix [1448]. fixed[594, 1344, 1624, 1625, 1702]. Fletcher[36, 567]. Flexible [554, 481]. floating[760, 995, 1012]. floating-point [760, 1012].flow[26, 44, 51, 168, 191, 196, 234, 298, 299, 330,406, 471, 507, 680, 683, 701, 728, 763, 771, 811,812, 827, 828, 920, 949, 994, 1016, 1117, 1125,1194, 1224, 1402, 1481, 1497, 1564, 1705].flow-box [812]. flow-erratum [299]. flows[34, 32, 189, 242, 470, 522, 709, 843, 919,1170, 1255, 1565, 1641]. fluid[44, 100, 168, 680, 764, 767, 766, 813, 827,828, 1451, 1530, 1705]. fluid-structure[767, 813, 1451, 1530]. fluidized [493].fluids [243, 994, 1387, 1504, 1641, 1386].flux [169, 183, 185, 372, 477, 716, 824, 1011,1034, 1167, 1496, 1626]. fluxes [1332, 1396].Fock [1144]. focused [397]. Fokker [1022].following [14]. forces [174, 1445].Forchheimer [47]. forcing [1022]. form[112, 341, 666, 965, 996, 1255, 1614]. formal[54]. formalism [489]. forms [450, 723].formula [126, 162, 430, 579, 1179, 1601,1654, 1699, 1761]. formulae [33, 225, 424,596, 623, 640, 641, 642, 775, 946, 1006, 1279,1324, 1449, 1498, 1516, 1623, 1622].formulas[159, 368, 396, 784, 1145, 1418, 1655, 1656].

formulation [56, 168, 195, 236, 255, 285,341, 384, 426, 702, 698, 813, 871, 1326, 1406,1472, 1514, 1629, 1713, 1717]. formulations[193, 296, 542, 667, 817, 886, 934, 1163].forth [684]. Fortin [24]. forward[1344, 1357]. Four [1606, 1581, 1595].four-step [1595]. Fourier[565, 757, 967, 1004, 1059, 1062, 1206, 1269,1305, 1353, 1389, 1455, 1541, 1609, 1654].Fourier-finite-element [967].Fourier-series [565]. Fourth[274, 223, 455, 464, 652, 776, 835, 857, 893,1285, 1338, 1596, 1607]. Fourth-order[274, 223, 455, 464, 652, 776, 835, 857, 893,1285, 1338, 1607]. Fox [70, 659]. fractal[499]. fractals [12]. Fractional [1258, 11,86, 111, 278, 283, 284, 367, 395, 407, 655,824, 912, 1022, 1087, 1115, 1119, 1120, 1180,1190, 1199, 1323, 1335, 1382, 1384, 1638].fractional-order [1323]. fractional-step[1119, 1120]. fractions [291, 558]. fracture[330]. fractured [330]. frame [564, 1628].framework [555, 556, 952]. Francis [863].Fredholm[123, 222, 352, 545, 941, 1096, 1308]. free[8, 27, 266, 265, 276, 478, 523, 595, 686, 751,783, 795, 875, 931, 1019, 1078, 1218, 1224,1244, 1290, 1378, 1416, 1431, 1472, 1519,1749, 1796]. free-boundary [8].frequencies [346]. frequency[158, 631, 681, 978]. frequency-dependent[681]. frequency-independent [978].frictional [166]. frictionless [22]. friendly[1590]. front [1213]. front-tracking [1213].Full [21, 325, 540, 958, 1538].full-discretization [325]. Fully[2, 159, 674, 1040, 1641, 47, 90, 515, 961, 1000,1011, 1120, 1170, 1282, 1321, 1648, 1795, 587].function [236, 291, 365, 420, 531, 579, 778,779, 801, 846, 1053, 1132, 1138, 1199, 1352,1454, 1463, 1489, 1514, 1655, 1766].function-evaluation [420]. functional[252, 353, 385, 756, 1813]. functionals[666, 1342, 1479]. functions

[16, 54, 118, 205, 217, 321, 328, 345, 441, 479,554, 557, 597, 596, 604, 621, 653, 711, 799,868, 876, 895, 902, 933, 1001, 1042, 1067,1199, 1235, 1244, 1266, 1295, 1378, 1379,1409, 1416, 1449, 1463, 1517, 1552, 1579,1590, 1656, 1699, 1736, 1738, 1758].fundamental [991, 1116, 1471]. furnace[231]. Further [20, 222, 1412, 1687].

Galerkin[17, 27, 53, 56, 91, 92, 93, 94, 113, 123, 128,135, 139, 152, 173, 195, 227, 251, 260, 340,341, 349, 374, 381, 400, 404, 415, 443, 448,474, 471, 462, 463, 479, 484, 498, 499, 508,522, 541, 573, 613, 620, 633, 636, 681, 682, 717,734, 759, 763, 791, 815, 838, 837, 834, 835, 833,883, 905, 911, 1008, 1007, 1009, 1023, 1096,1107, 1118, 1160, 1165, 1166, 1187, 1190, 1216,1231, 1264, 1270, 1268, 1294, 1338, 1337, 1341,1349, 1375, 1377, 1382, 1384, 1391, 1404, 1436,1439, 1440, 1467, 1485, 1486, 1532, 1559].Galerkin [1561, 1564, 1606, 1604, 1605,1611, 1620, 1629, 1679, 1718, 1731, 1734].Galerkin-Chebyshev [1216].Galerkin-finite [92]. Galerkin-like [1559].games [287]. gamma [291]. GAOR [1730].gap [357]. gas [856]. gauge [489, 1268].Gauss [269, 376, 739, 996, 1354, 1418, 1479,1623, 1622, 1654, 1680, 1743]. Gauss-type[1623, 1622]. Gaussian [117, 191, 408, 854,1309, 1315, 1352, 1415, 1449, 1632, 1682].general[308, 375, 453, 473, 485, 617, 635, 652, 666,713, 726, 1025, 1022, 1033, 1454, 1494, 1519].general-order [1454]. generalization[445, 525, 548, 1068]. Generalizations[1286]. Generalized [354, 623, 729, 1048,1159, 1247, 1733, 243, 245, 796, 877, 1044,1108, 1145, 1222, 1359, 1431]. generated[396]. generates [850]. generating [441].generation [904, 1779]. generator [1267].genesis [863]. Geodesic [1536, 1529].geodesics [1702]. Geometric [351, 916,1017, 18, 141, 188, 694, 913, 1039, 1565].

Geometrically [1324, 340]. geometries[1182]. Geometry [523, 975, 1702]. Gevrey[1252]. Gibbs [14]. Gilbert[155, 156, 616, 670]. given [724]. Givens[632]. gives [611]. Global[138, 304, 305, 350, 389, 639, 643, 980, 1003,1587, 1671, 1712, 36, 796, 849, 891, 990,1030, 1105, 1171, 1799, 1752]. globally[200, 1002, 1081]. GMRES [37, 143, 1666].GMWB [1029]. Golub [1288]. good [1311].Gordon [1640, 1788, 489, 1678, 1717].Gottlieb [1465]. governing [1726]. Grad[786]. Grad-div [786]. graded [97, 673].Gradient [318, 330, 649, 1183, 39, 59, 64,108, 142, 189, 202, 263, 470, 541, 569, 570,651, 740, 765, 938, 1068, 1080, 1209, 1297,1402, 1491, 1503, 1597, 1709, 1760, 1799].gradient-like [39, 470].gradient-multigrid [1709]. gradients[557]. grading [95, 819]. Gram [850].graph [981, 1481]. Graphs [1519, 110].Green [653]. Grid [334, 206, 233, 398, 433,711, 904, 1002, 1236, 1276, 1508, 727]. grids[107, 668, 783, 895, 896, 933, 1226, 1515, 1801].Gross [676, 829]. ground [740].groundwater [1224]. group[721, 925, 1772]. groups [903, 1589, 1723].growing [1273]. growth[327, 403, 765, 1169]. GSVD [255].Guaranteed [1512, 1707, 542, 1029].guarantees [1419]. guard [1413]. Gupta[565]. Gurtin [322]. gyrokinetic [251].gyrokinetic-waterbag [251].

H [613, 795]. Hadamard[603, 707, 1212, 1645]. Hahn [1601]. half[1427, 1603]. half-explicit [1427]. half-line[1603]. Hamilton [338, 356, 1079, 1351].Hamiltonian [514, 631, 1205, 1238, 1557].Hammerstein [807, 1173]. hand[37, 1644, 1666]. Handling [552, 562].hanging [27]. Hankel [495, 1054]. Hardy[1655, 1656]. harmonic[480, 542, 826, 1272, 1510, 1574]. Hartree

[1144]. having [534]. HDG [105, 465, 505,507, 506, 546, 795, 1494, 1495, 473]. heat[23, 90, 240, 312, 461, 1161, 1335]. Heath[1164]. Hele [702]. Helfrich [886].Helfrich-type [886]. Helmholtz [158, 296,468, 546, 801, 1377, 1613, 1759, 1768].hemivariational [559, 738]. Hermite[116, 624, 739, 829, 1367, 1531, 1690].Hermite-type [624]. Hermitian [147, 790].Hessian [216, 794, 1754]. Hessians [491].Heston [50]. Heterogeneous[346, 2, 617, 726, 1541]. hexagons [878].hexahedral [228]. Hierarchical[158, 405, 723, 334, 359, 1278]. High[296, 390, 457, 458, 497, 589, 641, 642, 1154,1282, 1361, 1399, 1769, 1795, 15, 91, 158, 266,265, 277, 289, 321, 372, 422, 681, 716, 718, 818,937, 957, 969, 1035, 1036, 1062, 1063, 1188,1201, 1203, 1643, 1642, 1717, 1759, 1757].High-accuracy [457, 458]. high-contrast[372]. High-dimensional [497, 1769, 1717].high-frequency [158, 681]. High-order[296, 589, 641, 642, 1154, 1282, 1361, 1399,1795, 91, 266, 265, 277, 289, 422, 716, 718,818, 957, 969, 1201, 1203, 1643, 1642, 1757].Higher [1147, 1155, 204, 860, 1536, 1575,1710, 1787, 1701]. Higher-order[1147, 204, 860, 1575, 1787, 1701]. highly[346, 352, 357, 514, 631, 634, 1059, 1060,1226, 1416, 1545, 1721, 1770, 1771].highly-oscillating [1059, 1060]. Hilbert[858, 1343, 1521, 1671, 1682]. Hilliard[1189, 113, 178, 619, 888, 1385]. Hodge[285, 801]. HODIE [502]. hodograph[748, 750]. Holder [539, 1497]. Holm [1733].holomorphic [513]. homoclinic[257, 789, 1537, 1554]. homogeneous [777].homogenization [631]. homogenized[684]. homotopy [494, 598, 664]. Hood[170, 334]. Hopf [454, 884, 897, 1307, 1764].horizons [1220, 1221]. Householder [1681].hp [685, 1333, 1335, 1564, 1565].hp-DGFEM [1565]. hp-FEM[685, 1335, 1564]. HSS [145]. human [18].

Hybrid [422, 544, 773, 1283, 1284, 1360,1530, 330, 682, 683, 718, 726, 1203, 1569].hybrid-dimensional [330]. hybridizable[463, 636]. hyper [755]. hyper-singular[755]. Hyperbolic [777, 261, 438, 483, 521,637, 648, 724, 1049, 1076, 1102, 1337, 1532,1616, 1624, 1625, 1674]. hyperbolics [1057].hypercube [440]. hyperelastic [1582].hyperinterpolation [955]. hypersingular[405, 447, 484, 977]. hysteresis [1708].

identification [1290]. II [15, 132, 172, 522,643, 703, 840, 892, 944, 1055, 1060, 1486,1565, 1577, 1623, 1643, 1711]. III[1063, 1249]. ill [133, 1646]. ill-conditioned[133, 1646]. IMA[458, 642, 690, 1284, 1625, 1771, 517]. image[699]. IMEX [616, 1524]. IMEX-RK[1524]. IMEX-type [616]. immersed[924, 925, 1026]. impact [550, 1482, 1509].impedance [826, 1091]. implementation[13, 143, 1037, 1075, 1500]. Implicit[429, 1287, 1612, 1713, 34, 32, 33, 31, 148,229, 243, 261, 367, 375, 378, 390, 394, 424,500, 529, 528, 593, 700, 782, 847, 962, 1005,1082, 1259, 1381, 1429, 1540, 1542, 1571,1581, 1658, 1727]. implicit-explicit [31].implicitly [1328, 1641]. implies [1636].imposition [276]. Improved[651, 864, 1745, 154, 177, 1775, 1693].improvement [299, 390, 1134]. Improving[130, 1696, 1172, 1179]. including[101, 1497]. inclusion [342, 696]. inclusions[1345]. incompatible [771]. incomplete[1434]. incompressible[26, 102, 242, 243, 276, 709, 767, 766, 843,932, 949, 962, 990, 1185, 1211, 1255, 1386,1387, 1494, 1495, 1565, 1612, 1641].Increasing [1367]. indefinite[661, 1511, 1297, 1310, 1627]. indenting[181]. independent [854, 978]. Index[71, 73, 75, 78, 80, 82, 504, 1142, 1193, 1225,1427, 1568, 1585]. indicator [235, 835, 1007].induction [231, 1147, 1227]. industry [906].

inequalities [59, 87, 138, 193, 252, 628, 881,973, 1166, 1447, 1460, 1515, 1653, 1659].inequality[472, 559, 700, 702, 738, 857, 997]. Inertial[1701]. Inexact [263, 281, 36, 109, 217, 216,279, 466, 555, 790, 809, 908, 1755].inextensible [196, 198, 199]. Inf[334, 1185, 170, 1314, 585]. Inf-sup[334, 1185, 1314]. infinite [495, 539, 915,1220, 1221, 1296, 1551, 1590, 1598].infinite-dimensional [1598]. infinitely[1454]. inflation [1582]. information [216].Ingersoll [540]. inhomogeneous[741, 1087, 1630]. initial[48, 49, 308, 419, 483, 848, 1032, 1070, 1710,1767, 1700, 1694, 1695]. initial- [308].initial-value [1710, 1695]. inner[1112, 1113]. input [230]. instability[1597, 1636]. Instance [1162]. integral[117, 123, 121, 125, 160, 218, 222, 248, 254,295, 296, 347, 351, 349, 352, 350, 385, 396,405, 445, 444, 443, 447, 468, 484, 545, 548,583, 624, 628, 710, 755, 807, 839, 883, 882,909, 934, 977, 1023, 1047, 1066, 1096, 1158,1186, 1193, 1196, 1207, 1257, 1258, 1306,1308, 1317, 1320, 1406, 1470, 1507, 1546,1550, 1578, 1606, 1603, 1604, 1605, 1623, 1622,1627, 1721, 1745, 1751, 1781, 1661, 1698].integrals [291, 450, 543, 603, 623, 634, 666,707, 1001, 1006, 1059, 1060, 1212, 1318, 1468,1590, 1645, 1761]. integrating [48, 49].integration [13, 141, 219, 395, 403, 424, 618,672, 815, 822, 832, 861, 884, 938, 1111, 1129,1144, 1164, 1324, 1416, 1575]. integrator[156, 616, 662, 1428, 1731].integrator-based [1731]. integrators[266, 265, 294, 357, 383, 390, 514, 715, 939,976, 998, 1003, 1198, 1205, 1204, 1253, 1319,1404, 1445, 1557, 1580, 1658, 1685]. integro[135, 785, 808, 941, 1017, 1190, 1225, 1270,1283, 1284, 1383, 1439, 1441, 1505, 1532,1657, 1751, 1797]. integro-differential [135,785, 808, 941, 1017, 1190, 1225, 1270, 1283,1284, 1383, 1439, 1505, 1532, 1657, 1751].

integrodifferential [153, 348].integroparabolic [5]. intensities [230].interacting [1481]. interaction [100, 764,767, 813, 1013, 1014, 1222, 1451, 1764].interactions [119]. interest [1164].interface [373, 372, 380, 636, 818, 925, 1026,1043, 1201, 1263, 1599]. interfaces[184, 330, 705, 726, 1530]. Interior [373, 905,331, 371, 763, 838, 837, 862, 910, 1030, 1084].Interior-penalty-stabilized [373].interlocking [512]. intermediate [1804].interpolant [365, 606]. interpolants[892, 1300, 1306, 1307, 1433, 1463, 1610].interpolate [1053]. interpolated [461].interpolating [46, 1443, 1690].Interpolation [310, 355, 379, 578, 1245,1589, 96, 115, 126, 206, 319, 345, 361, 421,467, 523, 524, 574, 605, 604, 607, 677, 714,749, 748, 751, 754, 776, 778, 822, 869, 894,985, 1074, 1099, 1109, 1199, 1289, 1303, 1340,1403, 1435, 1487, 1531, 1618, 1766].interpolations [1806]. Interpolatory[1645, 209, 903, 1772]. interval[501, 597, 1095, 1212, 1692]. introduced[1055]. introduction [1267]. invariance[792]. invariant [325, 1649]. inverse[430, 469, 494, 731, 753, 755, 790, 881, 1328,1518, 1527, 1600]. inverse-type [881].inverses [1153, 1689]. Inversion[654, 880, 343, 1388, 1521]. inverting [1398].investigation [1249]. involutive[1232, 1684]. involved [658, 663]. Involving[982, 86, 201, 665, 1313]. IRK [796].irregular [1392, 1060]. irreversible [589].isoclinal [1316]. Isogeometric[333, 335, 89, 334, 486]. isolated [38].Isoparametric [62, 793, 343, 750].isothermal [1131]. Isotropic [1079].Iterated [883, 275, 347, 1054, 1490].iterates [390]. iteration[147, 146, 145, 197, 529, 555, 756, 784, 790,882, 1038, 1192, 1206, 1328, 1652, 1700].iterations [1227, 1597]. Iterative[531, 690, 691, 983, 1092, 1588, 591, 112, 114,

210, 226, 535, 709, 857, 927, 1134, 1149,1391, 1548, 1705, 1783, 1784]. iteratively[269]. IV [1035].

J [458, 517, 642, 690, 1284, 1625]. Jacobi[1079, 1351, 328, 338, 356, 647, 1601, 1682].Jacobi/elliptic [338]. Jacobian [550, 958].Jarrow [1164]. Jin [1571]. John [863].Jordan [30, 695]. Journal [1771]. jump[614]. jumps [1807].

Kamel [979]. Kantorovich [928, 1723].Karman [415]. Keller [253, 1533]. kernel[561, 624, 1383, 1521, 1546, 1604, 1605, 1721,1776]. kernels [310, 348, 445, 1315, 1657].kind [42, 123, 218, 222, 291, 349, 350, 883,882, 1023, 1096, 1258, 1308, 1317, 1449, 1606,1604, 1605, 1661, 1698]. kinetic [286, 1675].Kirchhoff [159]. Klein[489, 1640, 1678, 1717, 1788]. knots[657, 1019, 1244, 1378, 1443]. Kolmogorov[513]. Korteweg[533, 844, 1000, 1178, 1428, 1561]. Kronrod[1354]. Krylov [754, 1328, 1465].Kublanovskaya [863]. Kuramoto[5, 32, 451, 1250]. Kuramoto-Sakaguchi[5]. Kutta [640, 641, 642, 1581, 1625, 151,160, 218, 367, 377, 389, 390, 394, 424, 529,525, 526, 527, 528, 639, 643, 679, 899, 945,980, 1015, 1024, 1052, 1171, 1238, 1302, 1404,1429, 1499, 1542, 1556, 1568, 1596, 1624,1710, 1746, 1797, 1045, 1698, 1692].Kutta-type [1238].

L [993, 1261]. L-shaped [1261]. L. [70].L.M.F. [442]. L.M.F.-based [442]. l.s.d[1687]. Lagrange[89, 152, 275, 373, 985, 1074, 1485, 1486, 1690].Lagrangian[227, 958, 1041, 1163, 1492, 1722, 1724].Lagrangians [774, 1194]. Laguerre[1037, 1461, 1307, 1733]. Laguerre-type[1037]. Lambert [1540]. Lame [1396].laminar [1117]. Lanczos [1042, 1446].

Landau [670, 155, 156, 500, 616]. landscape[576]. Langevin [1150, 1202, 1358].Langevin-type [1358]. LAPACK [983].Laplace [120, 374, 480, 645, 753, 1071, 1322,1323, 1521, 1583, 1613]. Laplacian[797, 65, 86, 211, 285, 602, 1180, 1398].Laplacians [951]. Large[436, 217, 712, 874, 1085, 1086, 1218, 1288,1331, 1329, 1330, 1446, 1594, 1758, 1807].large-scale[712, 874, 1218, 1329, 1330, 1594].Large-time [436, 1086]. largest[1112, 1113]. later [863]. lateral [1481].lattice [391, 489, 1267]. Laurent [1305].law [325]. laws [438, 451, 499, 530, 788, 940,970, 971, 1011, 1124, 1148, 1337, 1341, 1566,1584, 1616, 1674, 1795]. Lawson [48, 1428].Lawson-type [1428]. Lax [1251, 1673].Layer [1234, 1677]. Layer-adapted [1234].layers [1242, 1334]. LBB [912]. LCP [1030].leading [1450, 1686]. leapfrog [1048]. Least[537, 610, 1350, 1802, 133, 215, 317, 440, 501,534, 538, 551, 773, 1244, 1288, 1310, 1359,1425, 1424, 1555, 1564, 1630, 1644, 1747,1792]. Least-change [1802]. Least-squares[537, 133, 317, 440, 501, 538, 551, 1555, 1644].Lebesgue [935, 1074, 1660]. leg [913].Legendre[942, 1012, 1216, 1461, 1306, 1454].Legendre-Laguerre [1461]. Leja[1074, 1660]. Leray [919]. Leslie [659]. level[469, 504, 722, 728, 1076, 1118, 1327, 1405,1585, 1659, 1768, 1777]. level-index[504, 1585]. Levy [1148, 1654].lexicographic [996]. library [1409]. Lie[431, 612, 903, 1319, 1723, 1772].Lie-algebraic [431]. Lifschitz [670].Lifshitz [155, 156, 616, 500]. like[39, 470, 982, 1216, 1217, 109, 1055, 1559].limit [1640]. limited [118, 552, 553, 908].limited-memory [118]. limiting[282, 868, 1034]. limits [365]. Lindelof[1038]. line [36, 444, 478, 1039, 1603, 1680].Linear

[427, 616, 877, 1312, 1636, 1694, 19, 22, 37, 45,48, 49, 59, 63, 69, 68, 112, 125, 133, 135, 144,142, 146, 156, 161, 193, 206, 226, 266, 265,273, 307, 375, 381, 412, 429, 440, 472, 474,464, 462, 483, 501, 506, 532, 534, 553, 558,569, 581, 601, 604, 635, 638, 645, 677, 709,713, 796, 800, 815, 852, 858, 879, 885, 908,911, 941, 964, 983, 988, 989, 1009, 1030, 1025,1033, 1049, 1075, 1106, 1119, 1149, 1192, 1209,1231, 1234, 1244, 1256, 1258, 1259, 1277, 1288,1292, 1296, 1338, 1342, 1344, 1357, 1410].linear [1424, 1450, 1451, 1460, 1474, 1479,1508, 1551, 1555, 1586, 1593, 1607, 1608,1644, 1684, 1732, 1727, 1731, 1736, 1737,1739, 1744, 1759, 1769, 1776, 1780, 1791,1800, 1811, 1046, 1249]. Linearization[52, 1690, 1612]. linearized [886, 1189].Linearly[34, 32, 1259, 1540, 166, 367, 1429, 1658].lines [1813]. linogram [1469]. Lions[428, 1263]. Liouville[223, 262, 306, 731, 799, 842, 893, 1003, 1489].Lipschitz [10, 902, 1081]. Lissajous[292, 714]. loading [285]. loads [718].Lobatto [1623]. Lobatto-Chebyshev[1623]. Local [21, 115, 571, 768, 769, 1314,1618, 1747, 1766, 102, 215, 270, 319, 350,359, 381, 404, 462, 612, 620, 685, 765, 1030,1101, 1128, 1325, 1338, 585]. Locality [778].Localization [270, 732]. Localized[224, 1167, 1527, 995, 1722]. locally[27, 717, 902, 933, 1707]. locating [54].location [580, 1483]. locations [1179].Locking [1573, 1749]. Locking-free [1749].locus [150]. log [1129, 1419]. log-barrier[1419]. log-normal [1129]. logarithm [721].logarithmic [1546, 1604, 1605].logarithmic-kernel [1546]. logging [1538].Long [791, 1648, 830, 1573]. Long-time[791, 1648, 830]. Lorentz [1268]. loss [760].Low [844, 1468, 1535, 44, 102, 136, 158, 572,1016, 1228, 1241, 1287, 1688]. low- [158].Low-order [1468, 1535, 44, 102, 572, 1016].low-rank [136, 1241, 1688]. lower

[1592, 1812]. lowers [1740]. lowest[170, 635, 1805]. lowest-order [635, 1805].lumped [1397]. Lyapunov[947, 1328, 1598, 1712]. Lyness [54].

m [309]. m-DDFV [309]. MAC [853, 1287].MacCamy [322]. Mach [844, 1287].Maclaurin [1389]. macroelement [335].magic [822]. magnetic [1147].magnetodynamic [542].magnetohydrodynamics [1495].magnetostriction [156]. Magnus[266, 265, 1198]. majorant [768, 769].MALA [293]. managed [1069]. manifold[475, 1571, 1773]. manifold-based [475].manifold-valued [1773]. manifolds [18,148, 192, 304, 305, 578, 599, 769, 902, 1058,1101, 1214, 1248, 1366, 1393, 1470, 1701].many [754]. map [157]. mapping[439, 803, 1146, 1207]. mappings[513, 693, 1574, 1600, 1723]. maps[1179, 1298]. marching [1500]. Markov[511, 1192]. Maruyama [1184, 1392].Mason [1435]. mass [113, 802, 824, 871,1239, 1237, 1397, 1497, 1734].mass-preserving [1239, 1237]. matching[428]. material [943]. materials [166, 1608].matrices [30, 129, 221, 313, 445, 459, 469,482, 494, 537, 661, 1511, 755, 880, 937, 1020,1061, 1267, 1316, 1477, 1632, 1689, 1702,1703, 1730, 1742, 1756, 1758, 1778, 590, 592].Matrix [460, 654, 1331, 20, 40, 52, 144, 158,176, 281, 290, 330, 431, 550, 658, 663, 755,756, 806, 840, 870, 922, 986, 984, 1039, 1042,1077, 1095, 1094, 1157, 1227, 1241, 1339,1488, 1492, 1518, 1579, 1593, 1600, 1688,1690, 1734, 1740, 1752, 1810, 1811, 1812].matrix-fracture [330]. matrix-inverse[1600]. maximal [368]. Maximum[33, 97, 1151, 1323, 1516, 743, 1122, 1798].Maximum-norm [1323]. Maxwell[272, 277, 301, 489, 497, 542, 674, 826, 905,1187, 1268, 1272]. Maxwell-type [497].Mean

[462, 706, 701, 728, 763, 1039, 1170, 1637].Mean-square [462]. means [66, 1507].measurements [220]. mechanical [346].media[234, 277, 330, 406, 827, 828, 1187, 1497].medium [1196]. Medius [412]. Mellin[1501]. membrane [181]. membranes[212, 1582]. memory[118, 552, 553, 908, 915, 1789]. Mesh[1753, 17, 95, 503, 667, 669, 686, 766, 913,926, 1231, 1274, 1325, 1808]. mesh-free[686]. meshes[27, 97, 170, 182, 247, 280, 311, 329, 340, 351,428, 467, 473, 617, 673, 719, 725, 726, 786,881, 1017, 1174, 1175, 1185, 1234, 1242, 1245,1262, 1348, 1494, 1523, 1565, 1572, 1639,1677, 1714, 1760, 1779, 1785, 1786, 1787].Meshing [64]. metastable [409, 1646].Method[21, 1041, 2, 4, 7, 8, 14, 18, 36, 47, 51, 55, 93,95, 101, 102, 105, 108, 110, 123, 121, 131, 132,137, 138, 150, 152, 148, 163, 182, 172, 171,211, 213, 229, 231, 232, 237, 245, 247, 255,258, 261, 260, 262, 268, 269, 275, 276, 300,301, 303, 308, 314, 331, 371, 374, 372, 384,393, 399, 418, 422, 433, 439, 448, 451, 452, 455,456, 466, 460, 474, 465, 471, 464, 462, 463, 478,480, 484, 485, 488, 492, 494, 498, 499, 505, 531,548, 552, 567, 569, 570, 568, 572, 583, 593].method[599, 601, 602, 619, 624, 625, 635, 636, 644,645, 648, 650, 656, 674, 682, 683, 686, 689,692, 695, 696, 697, 712, 717, 718, 720, 722,730, 729, 733, 737, 736, 738, 745, 744, 746,747, 757, 759, 761, 764, 762, 768, 769, 783,798, 801, 804, 806, 814, 815, 816, 821, 827,829, 838, 841, 849, 852, 858, 865, 866, 869,875, 890, 897, 905, 908, 910, 919, 921, 927, 928,936, 941, 948, 950, 954, 956, 961, 959, 958, 966,967, 974, 977, 978, 979, 995, 999, 1004, 1028,1026, 1027, 1021, 1029, 1022, 1039, 1044].method[1068, 1070, 1075, 1081, 1086, 1091, 1089,1100, 1107, 1108, 1115, 1116, 1125, 1124, 1131,

1134, 1136, 1139, 1146, 1154, 1157, 1166, 1168,1169, 1173, 1182, 1190, 1193, 1200, 1201, 1207,1213, 1216, 1217, 1214, 1222, 1224, 1229, 1231,1236, 1237, 1241, 1261, 1263, 1265, 1264, 1269,1268, 1277, 1280, 1290, 1301, 1311, 1317, 1321,1325, 1336, 1338, 1341, 1349, 1360, 1362, 1371,1377, 1383, 1381, 1382, 1395, 1397, 1401, 1400,1419, 1406, 1411, 1422, 1423, 1427, 1431, 1436,1438, 1442, 1453, 1456, 1464, 1465, 1467, 1471,1484, 1485, 1486, 1493, 1494, 1495, 1500, 1503,1505, 1533, 1535, 1547, 1563, 1574, 1583].method [1590, 1596, 1599, 1606, 1604, 1605,1607, 1611, 1613, 1615, 1620, 1635, 1639,1638, 1640, 1653, 1654, 1659, 1711, 1729,1726, 1723, 1733, 1727, 1731, 1739, 1743,1769, 1775, 1774, 1777, 1776, 1784, 1785,1794, 1799, 1805, 1808, 1813, 563]. Methods[431, 654, 34, 31, 42, 43, 48, 49, 54, 57, 59, 58,92, 94, 107, 109, 112, 114, 119, 139, 144, 142,147, 146, 145, 149, 151, 153, 161, 173, 184,202, 205, 210, 215, 217, 216, 218, 222, 224,246, 251, 250, 259, 263, 274, 277, 279, 281,307, 312, 316, 332, 334, 340, 346, 348, 351,357, 367, 373, 375, 376, 377, 378, 380, 381,389, 391, 390, 394, 395, 398, 400, 401, 403, 402,404, 405, 412, 417, 415, 432, 444, 449, 457, 458,461, 477, 470, 473, 479, 508, 507, 506, 511].methods[517, 518, 520, 519, 529, 525, 526, 527, 528,535, 539, 541, 546, 549, 557, 564, 582, 589,598, 617, 626, 629, 639, 643, 669, 690, 691, 693,710, 713, 732, 734, 741, 753, 756, 761, 763, 765,766, 773, 780, 787, 794, 795, 796, 803, 832, 837,834, 843, 855, 862, 888, 889, 891, 899, 914, 913,924, 932, 935, 944, 943, 951, 968, 980, 1005,1009, 1013, 1015, 1016, 1024, 1025, 1023, 1032,1033, 1056, 1048, 1050, 1052, 1055, 1058, 1066,1071, 1087, 1096, 1097, 1111, 1114, 1117, 1118,1137, 1160, 1162, 1165, 1178, 1180, 1183].methods[1186, 1188, 1191, 1196, 1203, 1218, 1220,1221, 1225, 1226, 1240, 1238, 1250, 1254,1256, 1258, 1270, 1273, 1281, 1282, 1283,1284, 1285, 1286, 1294, 1297, 1299, 1302, 1308,

1312, 1316, 1334, 1332, 1337, 1342, 1344, 1351,1358, 1374, 1384, 1391, 1404, 1405, 1410, 1429,1439, 1441, 1468, 1476, 1489, 1499, 1513, 1526,1532, 1538, 1540, 1541, 1546, 1556, 1559, 1561,1568, 1569, 1570, 1575, 1576, 1577, 1581, 1588,1594, 1595, 1603, 1616, 1619, 1624, 1625, 1634,1643, 1642, 1657, 1667, 1671, 1691, 1705, 1710,1716, 1722, 1730, 1721, 1718, 1724, 1719, 1737,1745, 1746, 1754, 1765, 1757, 1770, 1771].methods [1786, 1787, 1788, 1790, 1796, 1800,1797, 1807, 1809, 614, 562, 591, 1045, 1661,1698, 1692, 1693, 1694, 1697, 1695, 1696].methods-overcoming [968]. metric[59, 449, 556, 1792]. MHD [962, 1502].MHSS [146]. micromagnetism [671].midpoint [1069]. mild [94, 341].mild-weak [341]. mimetic [562]. mini[130]. mini-element [130]. Minimal[1801, 139, 225, 1075, 1078, 1376]. minimax[581, 1303, 1810]. minimization[197, 200, 216, 222, 413, 570, 889, 958, 1138,1475, 1567, 1656, 1668, 1671]. minimizers[1808]. minimizing [217, 1112, 1113].minimum [611, 1029, 1534]. Mitchell [900].Mixed[236, 879, 1292, 1293, 1351, 1520, 1565, 6, 26,47, 51, 107, 152, 163, 193, 229, 232, 237, 241,285, 317, 341, 384, 393, 414, 425, 426, 617,619, 648, 650, 652, 669, 682, 745, 744, 746,761, 764, 807, 827, 852, 871, 1125, 1187,1332, 1439, 1472, 1495, 1569, 1629, 1768].mixed-primal [51]. mixing [293]. mobility[176]. mode [119, 1764]. model[18, 50, 55, 175, 176, 177, 180, 231, 238, 234,253, 271, 282, 288, 397, 406, 417, 429, 435,476, 487, 493, 706, 698, 699, 762, 824, 844,1131, 1164, 1219, 1233, 1246, 1271, 1274, 1292,1440, 1504, 1538, 1571, 1608, 1637, 1789, 179].modeled [57]. modeling [1190]. modelling[29, 140, 559, 1533, 1582]. models [25, 194,322, 510, 653, 703, 839, 891, 1510, 1525].modes [975]. Modification [968, 730, 1288].modifications [1449]. modified [153, 475,850, 867, 908, 1066, 1075, 1229, 1230, 1301,

1404, 1613, 1793, 1799, 1698, 1062, 1767].Modulated [1541, 998]. modulus [627].molecular [1202, 1685]. mollification [9].Mollifications [944]. Moment[285, 1416, 1220, 1221]. Moment-free[1416]. Monge [127, 1400]. Mono [424].Mono-implicit [424]. monodromy [664].Monotone [1289, 144, 522, 904, 911, 1218,1243, 1271, 1345, 1653]. monotonic[561, 605, 606, 894, 1776]. monotonicity[610]. Monotonous [38]. monotony [692].monotony-preserving [692]. Monte[539, 861, 1129, 1180, 1280]. Morley[804, 1777]. Morse [470]. mortar[131, 132, 213, 235, 301, 966, 1018, 1027].mortaring [967]. Morton [1164]. motion[407, 1405, 1440]. motivated [821, 908].moving [667, 702, 747, 1002, 1085, 1086,1274, 1350, 1359, 1735, 1747].moving-boundary [702]. MPFA [406].MR [458, 517, 642, 690, 1284, 1625]. Multi[485, 1238, 32, 141, 175, 176, 177, 271, 958,1002, 1144, 1237, 1584, 1768]. multi-block[958]. multi-component[175, 176, 177, 271]. multi-configuration[1144]. multi-dimensional [32, 1237, 1584].multi-grid [1002]. multi-level [1768].Multi-product [485]. Multi-symplectic[1238, 141]. multicomponent [888].Multidimensional[1208, 653, 747, 1486, 1524, 1552].multidomain [800, 1325]. multifacility[580]. Multigrid[505, 1619, 138, 708, 869, 872, 889, 996, 1043,1456, 1709, 1765, 1794, 1807].multigrid-type [869]. multilag [153, 1066].Multilevel [129, 340, 751, 609, 1430, 1774].multiparameter [344]. multiphase [845].multiphysics [762]. multiple [2, 37, 214,566, 1015, 1333, 1353, 1614, 1644, 1775].Multiplicative[1488, 114, 715, 1165, 1239, 1253].multiplier [373]. multipliers[89, 275, 1018]. multiply [1146].

multiply-connected [1146]. multipole[1406]. multiprocessor [440].multiquadric [206, 754]. multiquadrics[361]. Multiscale [479, 2, 103, 168, 346, 497,1011, 1215, 1541, 1653, 1757, 1769].multisplitting [144]. multistate [1219].Multistep[402, 988, 1049, 1058, 31, 161, 307, 403, 532,601, 1070, 1256, 1258, 1410, 1567, 1692, 1694].multivalue [378]. multivalued [1345].multivariate [535, 618, 832, 903, 1063].Mysovskii [109].

Naghdi [238]. Nagumo [55]. narrow[467, 593]. Natural [248, 154, 1509]. Navier[7, 21, 102, 130, 140, 204, 237, 233, 236, 249,393, 746, 757, 805, 918, 961, 990, 1004, 1105,1287, 1494, 1612, 585]. Near[225, 1303, 1304, 1305, 1433, 1568].Near-best [1304, 1305, 1433].Near-minimal [225]. Near-minimax[1303]. nearest [290, 984, 1492]. nearly[761, 1185, 1485, 1486]. nearness [40].negative [281, 306, 796]. nets [860].Neumann[98, 97, 137, 157, 182, 186, 214, 295, 434, 736,771, 1298, 1356, 1677, 1725, 1748]. neutral[38, 362]. neutron [1280]. newest [819].Newton [14, 18, 53, 109, 114, 143, 217, 269,279, 290, 314, 466, 555, 599, 712, 729, 759,768, 769, 888, 889, 928, 1153, 1157, 1192,1214, 1212, 1229, 1371, 1419, 1574, 1729,1723, 1743, 1754, 1761, 1802, 1803, 1700].Newton-like [109].Newton-Mysovskii-type [109].Newtonian [242, 243, 522]. Newtonlike[1790]. NEWUOA [1475]. Nicolson[877, 1089, 1268, 1509]. Nitsche[276, 372, 422, 488, 966, 967]. no[458, 517, 630, 642, 658, 663, 690, 1284, 1625].no-fill [658, 663]. nodes[27, 368, 714, 1353, 1623, 1622, 1680]. noise[94, 278, 715, 1148, 1165, 1239, 1243, 1253,1368, 1727]. noisy [133, 711]. Non

[302, 1095, 1429, 10, 95, 125, 203, 281, 381,428, 633, 645, 688, 815, 1030, 1081, 1094,1101, 1192, 1228, 1229, 1259, 1263, 1270,1292, 1298, 1331, 1345, 1395, 1608, 1808, 585].Non-autonomous [1095]. non-conforming[95, 688, 1228, 1395]. non-Fickian [203].non-globally [1081]. non-interior [1030].non-linear[125, 381, 645, 815, 1192, 1259, 1292, 1608].non-Lipschitz [10]. non-matching [428].non-monotone [1345]. non-negative [281].non-overlapping [1263]. non-periodic[152]. non-self-adjoint [1298].Non-smooth [1429, 1101, 1808].non-standard [1270]. non-stationary[633]. non-symmetric [1094, 1229, 1331].Non-variational [302]. Nonasymptotic[293]. Nonautonomous[307, 266, 265, 485, 1025, 1142].noncoercive [434]. noncompact[443, 1306]. Nonconforming[411, 416, 1420, 24, 193, 401, 427, 473, 572,726, 992, 1016, 1098, 1349, 1512, 1639, 1777].nonconservative [1544]. nonconstant[1044]. nonconvex[304, 305, 420, 555, 1127, 1671].nondefectivity [1703]. nondiscrete [1227].nonequilibrium [1202]. nonhomogeneous[11, 737]. Nonlinear[1496, 587, 3, 23, 33, 31, 51, 99, 121, 141, 215,234, 245, 250, 398, 461, 477, 492, 524, 528,530, 551, 554, 573, 586, 612, 633, 672, 674,676, 724, 733, 743, 745, 756, 759, 773, 808,809, 817, 825, 828, 830, 831, 890, 898, 906,955, 970, 971, 997, 998, 999, 1047, 1050, 1069,1075, 1107, 1106, 1116, 1122, 1126, 1130,1218, 1224, 1249, 1327, 1329, 1330, 1337,1343, 1355, 1356, 1380, 1397, 1436, 1478,1499, 1544, 1562, 1609, 1649, 1653, 1678,1679, 1717, 1754, 1777, 1802, 1797, 1810].nonlinearities [1081, 1497]. nonlinearity[416]. Nonlocal [12, 268, 55, 451, 653].nonmatching [107, 311]. nonmonotone[478, 1039]. nonnegative [441, 547, 947].

nonnormality [254]. nonoscillatory [328].Nonoverlapping [309, 1783]. nonperiodic[1443]. nonpolygonal [28]. nonpositive[552]. nonresidual [423]. Nonsimple[1621]. nonsingular [880]. nonsingularity[1703]. Nonsmooth [888, 902, 1113, 118,468, 556, 557, 576, 889, 1088, 1138, 1139,1755, 1767, 1791, 1661, 1112]. nonstandard[909]. nonstationary [275, 400, 1522].nonstiff [1410]. nonsymmetric [923, 1219].nonuniform [27, 503, 1108, 1110].nonunisolvent [421]. norm[33, 87, 97, 270, 474, 732, 905, 955, 1151,1323, 1360, 1534, 1600]. normal[594, 1020, 1129]. normalized [740]. norms[20, 111, 539, 573, 716, 840, 1528, 1752].note [246, 317, 365, 507, 512, 658, 663, 837,1034, 1217, 1523, 1543, 1657]. novel [1726].nuclear [487]. number[137, 221, 295, 326, 747, 1759]. numbers[482, 1758]. Numer[458, 517, 642, 690, 1284, 1625]. numerator[604]. Numerical[29, 104, 119, 166, 188, 194, 189, 192, 220, 231,230, 257, 271, 278, 283, 284, 385, 409, 425,468, 477, 466, 509, 511, 517, 518, 521, 543,559, 560, 655, 706, 699, 705, 719, 771, 787,789, 794, 802, 807, 812, 830, 842, 947, 986,1001, 1072, 1093, 1104, 1135, 1156, 1157, 1158,1164, 1194, 1250, 1355, 1405, 1466, 1507, 1623,1622, 1646, 1708, 1737, 1771, 12, 120, 122,125, 124, 126, 127, 140, 141, 212, 219, 249,256, 262, 273, 286, 288, 314, 313, 344, 347,354, 397, 403, 424, 439, 445, 447, 470, 500].numerical[514, 548, 645, 669, 672, 696, 757, 758, 770,782, 803, 805, 825, 841, 893, 899, 916, 915, 960,985, 991, 1004, 1022, 1032, 1040, 1044, 1050,1059, 1060, 1081, 1095, 1107, 1112, 1113, 1178,1198, 1220, 1221, 1232, 1240, 1246, 1249, 1252,1271, 1277, 1283, 1284, 1308, 1320, 1323, 1324,1339, 1376, 1383, 1394, 1416, 1442, 1482, 1501,1504, 1521, 1537, 1550, 1554, 1555, 1561, 1562,1575, 1594, 1593, 1595, 1596, 1602, 1616, 1654,

1683, 1684, 1709, 1712, 1757, 614, 1700, 1698].numerical-analysis-focused [397].Numerically [862, 590, 680, 944, 943].numerics [684, 906]. Nystrom[583, 1306, 296, 640, 641, 642, 645, 884, 1137,1307, 1484, 1581]. Nystrom-product [884].

O.D.E. [442]. observability [719].observation [40]. obstacle [411, 595, 1719].obstacles [1482]. obtain [1691]. obtaining[1422]. ODE [550, 1578, 1712]. ODEs[319, 712, 1410, 1576, 1577, 1796]. Oldroyd[1440]. One[1567, 1633, 37, 90, 169, 245, 314, 338, 433,474, 515, 573, 696, 719, 791, 814, 818, 907,913, 936, 1085, 1195, 1198, 1219, 1273, 1336,1338, 1392, 1426, 1437, 1481, 1572, 1637].one-dimension [1637]. one-dimensional[90, 314, 338, 433, 515, 719, 791, 814, 1085,1198, 1219, 1273, 1392, 1481, 1572]. one-leg[913]. One-shot [1633]. One-step[1567, 696, 907, 936, 1195]. only [1791].onto [14]. open [1781]. operations [1413].Operator [264, 1364, 131, 132, 273, 280,374, 443, 485, 498, 564, 755, 804, 955, 952,957, 1111, 1306, 1363, 1371, 1620].operators [64, 131, 132, 163, 247, 254, 283,284, 295, 302, 352, 490, 495, 545, 655, 725,742, 797, 809, 911, 1018, 1107, 1210, 1312,1348, 1499, 1506, 1628, 1634, 1682]. optical[944, 943]. Optimal [16, 41, 173, 172, 171,243, 289, 311, 321, 336, 382, 577, 615, 625,671, 819, 838, 861, 958, 1041, 1086, 1165,1230, 1517, 1528, 1616, 1644, 1679, 1788, 588,86, 108, 204, 332, 341, 461, 466, 483, 566,633, 718, 809, 905, 930, 940, 1090, 1162,1163, 1332, 1430, 1451, 1498, 1742, 1786].optimal-order [1786]. Optimality[211, 60, 61, 810]. optimization[43, 59, 60, 61, 87, 279, 304, 305, 420, 523,554, 555, 556, 568, 711, 890, 1080, 1139,1241, 1419, 1476, 1552, 1614, 1633, 1688,1723, 1755, 1791, 1793]. Optimized [626].option [1466, 1726]. options [1021]. orbits

[256, 257, 403, 789, 1365, 1568]. Order[367, 378, 519, 602, 1057, 17, 27, 44, 48, 49, 60,61, 69, 91, 102, 113, 170, 204, 223, 258, 261,266, 265, 274, 277, 289, 296, 382, 390, 402,407, 412, 417, 422, 455, 461, 474, 464, 463,540, 572, 589, 607, 616, 617, 619, 635, 641,642, 650, 652, 690, 691, 713, 716, 718, 776,791, 816, 818, 835, 855, 857, 861, 860, 873,893, 910, 936, 937, 946, 957, 968, 969, 1009,1010, 1016, 1043, 1067, 1070, 1102, 1118,1147, 1154, 1155, 1172, 1188, 1190, 1201, 1203,1210, 1228, 1233, 1251, 1275, 1282, 1285].order [1289, 1323, 1338, 1361, 1383, 1399,1454, 1468, 1535, 1536, 1570, 1575, 1596,1607, 1630, 1643, 1642, 1710, 1761, 1762,1757, 1773, 1776, 1786, 1787, 1792, 1795,1806, 1805, 1701, 1695]. orders[345, 1199, 1581]. ordinary[91, 172, 378, 696, 782, 847, 907, 946, 979,1050, 1082, 1223, 1232, 1506, 1684, 1750].orientation [727]. origin [1020].Orthogonal [808, 982, 1417, 261, 396, 721,919, 1037, 1441, 1539, 1589, 1737, 1743].orthonormal [597, 596].orthonormalization [1146].orthonormalizing [868]. oscillating[1059, 1060]. Oscillation[893, 15, 1035, 1036, 1062, 1063]. oscillators[1060]. oscillatory[117, 346, 352, 357, 514, 631, 634, 1001, 1416,1545, 1590, 1721, 1770, 1771]. Oseen[571, 786, 1314]. output [1342, 1526].Overcoming [1099, 968]. overdamped[1150]. overdetermined [534, 1478, 1739].Overflow [760]. Overlapping[668, 1263, 1763]. overrelaxation[956, 1301].

P [179, 1221, 180]. p.d.e.s [848, 246].packet [739]. pair [170]. pairs[1171, 1185, 1649]. panel [481, 1158].pantograph [432, 913, 1025]. paper[283, 971]. parabolic[9, 34, 33, 31, 53, 63, 183, 245, 246, 266, 327,

503, 613, 679, 716, 734, 741, 742, 743, 770,821, 846, 852, 864, 930, 953, 969, 1104, 1107,1106, 1119, 1120, 1126, 1123, 1156, 1154,1155, 1183, 1259, 1260, 1274, 1327, 1355,1356, 1357, 1397, 1408, 1438, 1439, 1441, 1505,1526, 1575, 1583, 1599, 1629, 1648, 1711, 1745,1782, 1785, 1786, 1787, 1813, 1701, 1697].Parallel [161, 784, 997, 831, 957, 1052, 1583,1730, 1783]. Parameter[795, 1223, 1472, 30, 262, 806, 1092, 1464].parameter-dependent [30].Parameter-free [795, 1472].parameterized [920, 919]. parameters[606, 612]. Parametric [136, 822, 154].parametrization [1365]. parametrized[430]. parareal [1762]. part[603, 623, 707, 1212, 1645, 1761, 1803, 591,131, 132, 212, 340, 473, 732, 1486, 1759].Partial [1041, 1, 402, 704, 713, 718, 785, 794,898, 906, 1007, 1132, 1134, 1141, 1165, 1207,1243, 1318, 1438, 1439, 1441, 1513, 1586].partially [234, 924]. particular [122].partition [686]. Partitioned [1502].Partitioning [1746, 964, 979]. partitions[150, 318, 1618]. patch [154]. patches [750].path [14, 1474]. path-following [14].Pathwise [1394]. PDE[43, 87, 483, 743, 839, 1274, 1633, 1046].PDE-constrained [43, 87, 1633]. PDEs[41, 136, 278, 336, 342, 392, 479, 516, 1009,1010, 1129, 1252, 1298, 1346, 1466, 1745,1775]. Peclet [747]. penalized [924].penalty [276, 331, 371, 373, 554, 625, 675,688, 763, 838, 837, 876, 886, 905, 910, 948,1029, 1138, 1241]. penalty-free [276].pencils [69, 273]. Penrose [1140].Penrose-Fife [1140]. perfect [1386, 1387].perfectly [297]. Performance [923, 1780].period [712, 1562]. Periodic[657, 901, 152, 403, 608, 898, 1070, 1365,1421, 1568, 1633, 1636, 1694, 1695].periodic/non [152].periodic/non-periodic [152].permutations [1448]. Persistence [907].

perturbation[446, 969, 1553, 1631, 1644, 1740, 1784].perturbations [1704]. perturbed[53, 67, 129, 371, 433, 459, 669, 752, 1151,1152, 1168, 1175, 1186, 1234, 1236, 1261,1277, 1333, 1344, 1349, 1348, 1643, 1642,1647, 1711, 1714]. Petrov[17, 173, 260, 341, 613, 1349, 1375, 1561].PH [749]. phase[34, 175, 176, 177, 190, 271, 328, 406, 476,573, 576, 644, 667, 791, 824, 1002, 1131, 1140,1224, 1290, 1370, 1436, 1437, 1489, 1497].phase-field [1131, 1140]. phase-function[1489]. phenomenon [1465]. Picard[712, 1038]. Piecewise [386, 894, 1432, 511,610, 677, 1209, 1235, 1348, 1474, 1650, 840].Piecewise-smooth [1432, 1235].piecewise-uniform [1348]. piezoelectric[85]. PIN [29]. Pitaevskii [676, 829].Pitaevskii-type [676]. Pivoting [1450].planar [124, 255, 447, 789, 1279]. Planck[1022]. plane[188, 1044, 1047, 1116, 1574, 1720].plane-wave [1044]. plasma [187]. plate[869, 1482, 1616]. Plemmons [1288].plotting [319]. plus [206, 699]. Poincare[1018, 1447, 1706]. point[4, 45, 147, 145, 202, 257, 259, 274, 455, 456,689, 747, 760, 817, 822, 825, 828, 862, 904,974, 1012, 1214, 1344, 1379, 1510, 1607, 1614,1638, 1643, 1642, 1714, 1764, 1784, 590].points [13, 126, 336, 712, 775, 897, 1073,1072, 1074, 1176, 1177, 1363, 1483, 1554,1621, 1624, 1625, 1660, 1688, 1786].Pointwise [926, 1090, 1152, 1166, 16, 41,332, 392, 630, 1043, 1167, 1400, 1725].Pointwise-in-time [1090]. Poisson[106, 122, 167, 325, 417, 636, 735, 771, 780,955, 1162, 1182, 1228, 1319, 1361, 1455].Poisson-Neumann [771]. Poisson-type[1182]. Polak [1799]. polar [1361]. pole[1182]. poles [596]. pollution[575, 1210, 1298]. Polya [208]. Polyak[1799]. polygon [645, 759, 1613]. polygonal

[480, 744]. polygons [516, 710, 1749].polyharmonic [205, 207]. polyhedral[98, 280, 954, 1494]. polymer [203].polymers [194]. Polynomial[348, 1038, 1197, 52, 206, 292, 386, 404, 523,598, 664, 695, 840, 1054, 1075, 1110, 1157,1303, 1390, 1409, 1414, 1433, 1459, 1560,1664, 1747, 1752, 592]. Polynomials[982, 52, 354, 355, 396, 885, 1012, 1037, 1306,1307, 1435, 1442, 1452, 1553, 1664, 1690].polytopes [318]. population [57, 733].poroelasticity [762]. porous[234, 330, 406, 827, 828, 1497]. posed[521, 1535]. posedness [1384]. positioning[1288]. positive[208, 796, 1485, 1486, 1510, 1579, 1702, 1741].positive-definite [1579].positive-definiteness [208].positive-semidefinite [1510]. Post [23].Post-processing [23]. posteriori[66, 86, 96, 103, 107, 162, 195, 212, 213, 238,234, 241, 242, 270, 272, 316, 331, 392, 415,426, 465, 488, 541, 600, 647, 687, 688, 716,817, 835, 836, 833, 845, 1007, 1009, 1121,1119, 1120, 1140, 1151, 1175, 1270, 1341,1369, 1396, 1415, 1421, 1443, 1444, 1505,1648, 1667, 1707, 1715, 1809, 587, 676, 1174].postprocessing [98]. Potential[1655, 132, 1006, 1047, 1116, 1402].potentials [141]. Powell [578, 622, 1619].power [1388]. powers [283, 284, 655]. Pre[1759]. Pre-asymptotic [1759]. precision[1344, 1516]. Preconditioned[146, 1705, 142, 290, 647, 927, 1597].preconditioner[387, 469, 790, 1278, 1430, 1510].Preconditioners [1456, 404, 441, 442, 486,851, 1611, 1614, 1677, 584].Preconditioning [1018, 1398, 111, 129, 226,244, 313, 340, 1472, 1473, 1558]. preconvex[1803]. Predictor[1693, 1695, 875, 1697, 1696].Predictor-corrector[1693, 1695, 1697, 1696]. prescribed

[368, 477, 594]. presence [174].Preservation [219, 788]. Preserving[450, 792, 115, 250, 319, 574, 604, 692, 749,748, 844, 1110, 1109, 1239, 1237, 1362, 1445,1487, 1571, 1717, 1789, 1796]. pressure[380, 387, 813, 972, 994, 1163, 1230, 1293].pressure-correction [972].pressure-dependent [994].pressure-robust [1163, 1230].pressure-stress [813]. pressures [26, 330].pricing [1029, 1466, 1726]. primal[51, 268, 1676]. primal-dual [268].primitive [113]. primitive-variable [113].principal [1468, 1728]. principle[768, 1092]. principles [743, 1122]. priori[89, 195, 329, 415, 426, 573, 600, 688, 764,1094, 1131, 1160, 1332, 1369, 1437, 1626,1714]. Prize [70]. probabilistic[891, 1355, 1356]. problem[6, 11, 17, 23, 24, 62, 67, 86, 85, 95, 101, 100,105, 104, 132, 139, 144, 166, 168, 187, 201,214, 228, 232, 237, 235, 239, 272, 314, 331,329, 332, 333, 335, 334, 352, 384, 386, 393,417, 411, 426, 433, 463, 480, 496, 571, 573,580, 625, 633, 636, 644, 649, 650, 676, 700,702, 697, 708, 720, 731, 735, 745, 752, 753,759, 764, 770, 786, 802, 813, 826, 834, 842,852, 856, 926, 927, 950, 961, 984, 995, 1090,1098, 1104, 1151, 1152, 1175, 1198, 1224,1231, 1233, 1236, 1261, 1276, 1273, 1299].problem[1310, 1314, 1326, 1349, 1355, 1356, 1397,1430, 1431, 1436, 1437, 1451, 1457, 1464,1480, 1484, 1492, 1535, 1549, 1633, 1635, 1638,1644, 1646, 1662, 1673, 1685, 1709, 1711, 1715,1725, 1718, 1719, 1754, 1768, 1774, 1805].problems[2, 4, 10, 44, 45, 47, 48, 49, 66, 87, 89, 98, 97,107, 108, 133, 147, 146, 145, 152, 158, 161,191, 197, 223, 224, 230, 255, 258, 259, 261,260, 262, 264, 274, 295, 296, 306, 308, 312,344, 371, 373, 372, 381, 398, 400, 401, 399,413, 416, 430, 434, 440, 453, 455, 456, 459,477, 466, 475, 464, 483, 488, 492, 494, 501,

503, 502, 521, 522, 527, 535, 541, 545, 586, 595,612, 635, 667, 669, 681, 682, 689, 716, 726, 734,737, 736, 756, 771, 790, 791, 798, 799, 810].problems[814, 816, 817, 818, 821, 825, 831, 832, 837,835, 833, 843, 845, 851, 855, 858, 865, 864,889, 893, 904, 920, 925, 930, 957, 958, 966,969, 974, 997, 1002, 1003, 1005, 1008, 1027,1032, 1043, 1047, 1070, 1085, 1107, 1106,1115, 1116, 1118, 1122, 1127, 1138, 1139,1156, 1154, 1155, 1159, 1160, 1162, 1168, 1169,1183, 1186, 1194, 1201, 1213, 1234, 1242, 1241,1262, 1275, 1277, 1290, 1294, 1324, 1331, 1329,1330, 1334, 1336, 1338, 1343, 1348, 1362, 1379,1407, 1420, 1425, 1424, 1471, 1472, 1484, 1489,1510, 1512, 1520, 1526, 1545, 1547, 1555].problems[1567, 1575, 1580, 1588, 1599, 1607, 1614,1626, 1643, 1642, 1646, 1647, 1648, 1649,1670, 1688, 1705, 1708, 1710, 1713, 1714, 1732,1723, 1749, 1753, 1783, 1784, 1785, 1786, 1787,1807, 562, 584, 587, 1700, 1694, 1695, 866].procedure [1477, 1783]. procedures [1567].Procesi [509]. process[540, 692, 1131, 1481]. processes[57, 99, 337, 511, 1149, 1150, 1542, 1654, 614].processing [23, 1585]. Product[13, 492, 1678, 395, 459, 485, 750, 884, 1129,1515, 1639, 1653, 1796]. products [1590].profile [868, 943]. programming[781, 862, 874, 959, 1139, 1370, 1754].progress [1446]. Projected[1568, 59, 263, 578, 1754]. Projection[21, 1603, 14, 102, 227, 444, 571, 572, 819,1314, 1340, 1376, 1634, 585]. projections[858]. projective [1371]. Prokhorov [449].prolate [201]. Prolongation [1204].Prolongation-collocation [1204]. proof[1592]. proofs [916, 915]. propagation[224, 453, 957, 1282]. proper [919].Properties[483, 1390, 1557, 1811, 1812, 12, 20, 215, 354,375, 378, 432, 514, 550, 567, 582, 742, 778, 792,840, 867, 1294, 1302, 1340, 1466, 1562, 1620,

1649, 1668, 1752, 1772, 1773, 1782, 1810].property [36, 549]. proportional [219, 351].protein [58]. proximal [958]. Prufer [262].pseudo [739, 1153]. pseudo-inverses[1153]. pseudo-spectral [739]. pseudorank[133]. Pseudospectra [1756, 369].Pseudospectral [1285, 779, 800, 1028, 1250,1269, 1461, 1329, 1330, 1339]. pseudostress[384, 426, 1326]. pseudostress-based [426].Ptak’s [1227]. punch [181]. Pure [56].pyramids [1399]. Pythagorean [748, 750].Pythagorean-hodograph [748, 750].

Q [1639]. QP [774]. QR [863]. quadrant[512]. Quadratic[134, 366, 1634, 1786, 303, 331, 536, 605, 606,604, 765, 862, 874, 894, 922, 986, 1030, 1133,1139, 1370, 1417, 1531, 1610, 1688, 1785].Quadrature[396, 710, 1546, 117, 149, 260, 368, 448, 623,934, 1059, 1060, 1145, 1193, 1247, 1309, 1323,1352, 1397, 1418, 1449, 1479, 1498, 1583, 1623,1645, 1672, 1680, 1682, 1699, 1751, 588, 1622].Quadratures [1353, 1257, 1354].quadrilateral [467, 1785, 1786, 1787, 1801].Qualitative [867, 12, 742]. qualocation[644, 1438]. quantification [1083].quantiles [1423]. quantum [110]. quartic[657]. Quasi [1129, 1163, 1332, 1358, 1803,84, 193, 242, 247, 266, 265, 361, 408, 467,522, 566, 718, 810, 861, 913, 1009, 1357,1421, 1479, 1618, 1715, 1153, 1754, 1802].quasi- [84]. quasi-continuum [1421].quasi-definite [1479]. quasi-geometric[913]. quasi-interpolation [361, 1618].quasi-linear [1009, 1357]. quasi-Magnus[266, 265]. Quasi-Monte [1129, 861].Quasi-Newton [1803, 1153, 1754, 1802].quasi-Newtonian [242, 522].Quasi-optimal [1163, 1332, 566, 718].quasi-optimality [810]. quasi-square[408]. quasi-static [1715].Quasi-symplectic [1358]. quasi-uniform[247]. quasi-variational [193].

quasi-Wilson [467]. quasicontinuum[630]. quasiconvex [1]. quasilinear[258, 399, 522, 953, 1008, 1437, 1714].quasimatrix [1681]. quasinonlocal [1222].Quasioptimal [423]. queueing [756].quintic [209, 749, 748, 1443].

R [370, 569]. R-algorithm [370]. R-linear[569]. radar [297]. radial[205, 365, 479, 778, 779, 801, 1067, 1199,1265, 1463, 1563, 1595, 1766]. radiation[201, 224]. radiative [560, 785, 884]. radii[917]. radiosity [124, 954]. radius[960, 1113, 1339, 1112]. Random[684, 1448, 221, 981, 1083, 1341].Randomized [618, 998, 832, 1703]. Range[275, 981, 1222, 1476, 1590].range-dependent [981]. Range-relaxed[275]. ranges [273]. rank [136, 221, 326,495, 638, 1241, 1426, 1688, 1702, 1740, 1812].rank-deficient [221]. rank-one [1426].rank-revealing [638]. rapid[15, 1035, 1036, 1062, 1063, 1290, 1582].Rate [809, 1554, 50, 138, 908, 994, 1394].rates [16, 204, 269, 304, 305, 324, 339, 670,820, 891, 1081, 1164, 1572, 1670, 1727, 1744].Rational[368, 878, 1031, 1094, 1591, 291, 363, 364,517, 518, 597, 596, 605, 606, 604, 842, 892,894, 930, 1053, 1328, 1449, 1699, 1738].rationals [46]. Raviart [635, 1162, 1230].Rayleigh [1563]. RBF [364, 363]. reaction[17, 99, 433, 503, 541, 792, 898, 1143, 1151,1152, 1175, 1234, 1236, 1246, 1273, 1277,1333, 1543, 1562, 1763, 1642].reaction-diffusion [17, 99, 503, 1246, 1277,1333, 1543, 1562, 1763].Reaction-diffusion-type [1642]. real[226, 444, 583, 917, 1298, 1304, 1308, 1309,1680, 1692]. real-valued [226]. Realistic[600, 1734]. reconstruction [1011, 1208].reconstructions [1505]. recovery [172, 171,541, 1183, 1209, 1517, 1616, 1760, 1804, 171].Rectangular

[646, 408, 783, 1242, 1639, 1756, 1778].rectangularly [1455]. rectilinear [580].Recurrence [597, 1012, 1601]. recursive[890, 1340]. recursive-trust-region [890].redistancing [722]. Reduced[845, 1526, 25, 356, 448, 806, 1694].Reduced-basis [1526]. reducible [1751].reduction [48, 49, 968, 1019, 1266].Redundancy [1617]. Reeves [36, 567].Referees [72, 74, 76, 79, 81, 83]. reference[771]. Refinable [359]. refined[27, 744, 746, 896, 933]. refinement[983, 1325]. reflection [856]. reformulation[141]. regime [612, 1640]. region[58, 148, 875, 890, 891, 902, 1476, 1671, 1791].regions[695, 914, 1132, 1279, 1455, 1693, 151].regression [523, 537, 1423, 1743]. regular[65, 206, 333, 388, 878]. regularity[84, 139, 162, 1252, 563]. regularization[216, 420, 699, 1135, 1757]. Regularized[145, 197, 215, 269, 295, 555, 728, 919].regularly [283, 284]. reiterated [1467].related[13, 451, 1131, 1134, 1357, 1522, 1632].relation [317]. relationship [57]. relative[672, 845, 1210]. relaxation [144, 1763].relaxed [275]. reliability [510, 1128].Remarks [1500]. remeshing [1490].removal [943]. removing [1728].reordering [901, 981]. Repeated [628].Representation [854, 495, 612, 949].reproducing [1521]. reproduction [1747].REQP [200]. reservoir [387, 429].Residual [213, 272, 488, 1715, 478, 783,1005, 1401, 1444]. Residual-based[272, 488, 1444]. Residual-type [1715].residuals [101]. residue [1696]. resistivity[1147]. resolution [127]. resolvent [1691].restart [765]. restarted [1042, 1328].restricted [501, 1153, 1580]. Restrictively[142]. result [796, 811, 1761]. results[8, 169, 412, 417, 444, 1078, 1452, 1480, 1542,1691]. Retarded [1550, 1158]. retrieval

[576]. revealing [638]. revelations [1687].reverse [491]. reversible [403]. revisited[496]. Ribiere [1799]. Riccati[923, 1095, 1094, 1219, 1229, 1594].Riccati-type [1095]. Ricci [793].Richardson [860]. Riemann[493, 1343, 1453, 1673, 1682].Riemann-problem-based [1673].Riemannian [18, 148, 192, 599, 769, 902,963, 1039, 1214, 1702]. right [37, 1644, 1666].right-hand [37, 1644]. right-hand-side[1666]. rightmost [1331]. rigid[181, 735, 1482]. Ritz [1505, 1563]. RK[1524]. RK4 [93]. RLW [921]. Robbins[1457]. Robin [186, 1093]. Robust[369, 372, 465, 1226, 1333, 1549, 1611, 1667,614, 13, 433, 722, 1108, 1163, 1197, 1230,1334, 1360, 1497, 1512, 1711, 1809]. rod[975]. role [313]. Ronald [900]. root[579, 1195, 592]. root-finding [1195, 592].roots [323, 1281]. Rosenbrock [1114]. Ross[540]. rotating [735, 965]. rotation[632, 1255]. Rothe [1107]. Rothe-Galerkin[1107]. rough [345, 1744]. rounding [1790].rule [1069]. rules [13, 321, 634, 1212, 1267,1295, 1309, 1352, 1645, 1672, 1716, 1751].Runge [151, 1625, 160, 218, 367, 377, 389,390, 394, 424, 529, 525, 526, 527, 528, 639,643, 640, 641, 642, 679, 899, 945, 980, 1015,1024, 1052, 1171, 1238, 1302, 1404, 1429,1499, 1542, 1556, 1568, 1581, 1596, 1624,1710, 1746, 1797, 1045, 1698, 1692].

Sabin [578, 622, 1619]. saddle[147, 145, 817, 825, 828, 1510, 1614, 1784, 590].saddle-point [147, 145]. safeguarded[1401]. Sakaguchi [5]. sample [523].samples [16]. Sampling[1515, 16, 68, 116, 1654]. Sandpiles [193].saturated [234]. saturation [1057]. scalar[940, 1008, 1341, 1566, 1584, 1795]. scale[140, 712, 874, 1218, 1236, 1329, 1330, 1400,1594]. scaleable [1360]. scaled [310]. scales[2, 1333]. scaling [1528, 1742]. scattered

[578, 1766]. scattering [254, 295, 447, 681,735, 806, 978, 1083, 1136, 1137, 1196].scheme[19, 135, 165, 169, 196, 198, 199, 227, 253, 325,406, 437, 435, 459, 476, 487, 500, 503, 502,510, 529, 544, 651, 714, 726, 728, 844, 853,873, 918, 926, 957, 962, 972, 1000, 1004, 1088,1102, 1105, 1106, 1119, 1126, 1140, 1148,1184, 1187, 1211, 1233, 1239, 1252, 1271,1275, 1287, 1385, 1482, 1497, 1502, 1509,1524, 1548, 1562, 1608, 1767, 1768, 1789].Schemes[649, 9, 32, 99, 113, 249, 252, 280, 309, 356,397, 429, 434, 436, 438, 483, 509, 533, 631,637, 651, 665, 724, 727, 752, 767, 766, 770,791, 877, 940, 945, 969, 1011, 1040, 1076,1103, 1147, 1251, 1327, 1361, 1367, 1368, 1496,1508, 1523, 1544, 1566, 1579, 1584, 1647, 1665,1673, 1674, 1717, 1744, 1772, 1773, 1795].Schmidt [850]. Scholes[430, 1108, 1726, 1046]. Schrodinger[3, 35, 141, 250, 265, 462, 612, 672, 830, 998,1069, 1181, 1198, 1239, 1237, 1265, 1268,1544, 1563, 1595, 1596, 1679]. Schur[851, 888, 1614]. Schwarz [114, 137, 309,626, 977, 1118, 1558, 1659, 1763, 1777].Schwarz-Neumann [137]. screens[248, 978]. SDEs [715, 1184]. search[36, 478, 557, 876, 1039, 1775].search-extension [1775]. Second[1010, 60, 61, 69, 113, 123, 126, 218, 258, 261,402, 407, 463, 616, 619, 635, 713, 816, 855,870, 873, 875, 883, 946, 1009, 1023, 1043,1070, 1096, 1102, 1118, 1210, 1275, 1308,1383, 1449, 1606, 1607, 1761, 1762, 1776,1804, 1661, 1698, 1695]. second-derivative[875]. second-kind [1308, 1661, 1698].Second-order [1010, 60, 61, 69, 113, 258,261, 402, 407, 463, 616, 619, 635, 713, 816,855, 873, 946, 1009, 1070, 1102, 1118, 1210,1275, 1383, 1607, 1761, 1762, 1776, 1695].second-order-accurate [1043]. section[297]. sectorial [601, 988]. Segel [253, 1533].segment [154]. Segre [1703]. Seidel [996].

selection [598, 945, 1425, 1753]. self[199, 302, 556, 667, 1210, 1298, 1634].self-adaptive [667]. self-adjoint[302, 1210, 1634]. self-avoiding [199].self-correcting [556]. Semi[356, 3, 45, 243, 495, 500, 962, 1085, 1211, 227].Semi-discrete [356, 1085, 1211].semi-discretizations [3]. semi-implicit[243, 500, 962]. semi-infinite [495].semi-Lagrangian [227]. semi-linear [45].semiaxis [583, 1308, 1309]. semibounded[1499]. semiclassical [612, 1181].semidefinite [490, 781, 1241, 1510, 1702].semidefinite-box-constrained [1241].Semidiscrete[1440, 168, 324, 864, 1087, 1575].semidiscretization [813]. semidiscretized[1056]. semilinear [34, 53, 416, 433, 644,1151, 1152, 1371, 1383, 1493, 1775].semismooth [14]. separable [889, 959, 958].separation [175, 176, 177, 271]. sequence[1422]. sequences [382, 618, 860].Sequential [1552, 60, 61, 1370]. series[15, 68, 383, 694, 854, 939, 1304, 1305, 1388,1389, 1455, 1609, 1683, 565]. Set[987, 268, 722, 728, 850, 1141, 1208, 1702].set-valued [1141, 1208]. sets[263, 421, 523, 1405, 1568]. setting [431].Several [1649, 397, 1251, 1672]. severe[760]. shallow [92, 93, 229]. Shanno [1477].Shanno-Toint [1477]. Shape[319, 604, 749, 748, 1109, 1487, 115, 574, 1789].Shape-preserving[319, 749, 748, 1109, 115, 574]. shaped[1261]. Sharp [419]. Shaw [702]. shear[994]. shear-rate- [994]. shell [238, 1272].Shepard [607]. shifted [126]. shifts[868, 1020]. Shishkin[926, 1231, 1242, 1262, 1523]. shock [856].shock-reflection [856]. shooting[1003, 1489]. Shor [370]. Short [915].shortening [701]. shot [1633]. shrinking[594]. side [1666]. sided [242]. sides[37, 1644]. Siewert [54]. significance [760].

significant [1686]. Signorini[422, 798, 1471, 1715, 1718]. Signorni [1626].Signorni-type [1626]. Sigurdsson [1540].similarity [856, 1524]. Simple[788, 25, 196, 198, 199, 667, 876, 1601].simplex [14, 557]. simplicial [318].simplified [559, 1533]. simulating [920].simulation [387]. simulations [220, 1482].simultaneous [1281, 1551, 1652]. Sinc[259, 1265, 1654, 1264, 1391].Sinc-collocation [259, 1265].sinc-Galerkin [1264, 1391]. sinc-Gauss[1654]. Single[233, 573, 644, 1224, 1436, 1437].Single-grid [233]. single-phase[573, 1224, 1436, 1437]. singly [375].singly-implicit [375]. Singular[896, 4, 247, 267, 306, 348, 445, 456, 543, 548,624, 647, 689, 755, 799, 895, 969, 1023, 1077,1176, 1177, 1193, 1295, 1313, 1383, 1623,1622, 1627, 1657, 1661]. singularities[966, 968, 1017, 1179, 1262, 1468].singularity [1528]. singularly[53, 67, 371, 433, 459, 669, 752, 1151, 1152,1168, 1175, 1186, 1234, 1236, 1261, 1277, 1333,1349, 1348, 1643, 1642, 1647, 1711, 1714].SIP [1286, 584]. SIP-DG [584].Sivashinsky [32, 1250]. sixth[650, 910, 1070]. sixth-order[650, 910, 1070]. size [202, 598]. skew[147, 937, 1061]. skew-Hermitian [147].skew-symmetric [937, 1061]. slice [1347].slice-based [1347]. slip [738]. Sloan [882].Slobodeckij [732]. slow [1559]. slowly[1389]. Smale [470, 1214]. small[291, 717, 1450, 1525]. smallest [1740].Smolyak [618]. smooth [125, 184, 625,1044, 1101, 1235, 1429, 1432, 1650, 1808].Smoothed [482]. Smoothing[1782, 466, 547, 610, 996, 1696].Smoothness[903, 1772, 321, 627, 861, 1362, 1367, 1617].snapshot [1598]. Sneyd [1767]. Sobolev[111, 197, 360, 577, 861, 912, 1199].

Sobolev-type [1199]. software [550].solenoidal [1430]. solid [100, 764, 1014].solidification [190, 1131]. Solution[394, 408, 982, 1106, 1219, 66, 67, 112, 120,125, 124, 230, 278, 296, 314, 313, 346, 347,373, 388, 445, 444, 447, 468, 466, 534, 535,548, 559, 565, 581, 624, 638, 645, 696, 735,771, 782, 842, 856, 893, 927, 947, 955, 997,1043, 1047, 1104, 1107, 1116, 1117, 1157,1178, 1194, 1198, 1232, 1240, 1248, 1246,1283, 1284, 1323, 1355, 1356, 1410, 1457, 1460,1501, 1507, 1544, 1550, 1555, 1563, 1561, 1594,1593, 1595, 1596, 1616, 1623, 1622, 1633, 1662,1684, 1709, 1729, 1739, 1810, 1661, 1700].solution-dependent [346]. solutions[65, 122, 127, 140, 165, 235, 319, 353, 386, 385,443, 509, 526, 608, 672, 724, 847, 857, 864,899, 909, 970, 971, 991, 1032, 1055, 1085, 1095,1116, 1320, 1366, 1380, 1394, 1455, 1471, 1478,1524, 1537, 1562, 1636, 1713, 1775, 1811].solvability [807]. solve[475, 598, 1068, 1361]. solver[493, 809, 1043, 1780]. solvers[662, 780, 1712]. Solving [229, 494, 664, 708,1379, 1578, 1586, 37, 182, 309, 485, 500, 580,756, 785, 843, 872, 921, 957, 1003, 1075, 1108,1139, 1207, 1229, 1310, 1348, 1718, 1717].Some [87, 150, 169, 444, 1308, 1340, 1551,1595, 1647, 25, 252, 354, 549, 637, 693, 791,1067, 1171, 1307, 1762]. SOR [1206, 1217].SOR-like [1217]. Soulie [24]. source[113, 438, 997, 1011, 1566, 1584]. Space[21, 94, 327, 9, 53, 63, 115, 197, 234, 243, 245,341, 379, 474, 530, 573, 613, 725, 737, 736,768, 821, 858, 873, 992, 1160, 1251, 1338,1437, 1629, 1671, 1729, 1801, 584].Space-Time [21, 327, 53, 1160]. spaced[1443]. spaces[360, 359, 577, 802, 861, 912, 925, 943, 1199,1371, 1434, 1521, 1655, 1656, 1669].spanning [1519]. Sparse[934, 1653, 43, 63, 136, 408, 459, 469, 482,658, 663, 662, 661, 895, 896, 1083, 1158, 1236,1331, 1477, 1508, 1539, 1670, 1669, 1758].

Sparsified [201]. Spatial[1318, 204, 277, 278, 748, 1381]. spatially[777]. SPD [656]. SPDEs [325, 1253, 1727].special [721, 796, 1589, 1692]. specified[538, 1159]. spectra [1210]. Spectral[5, 59, 240, 254, 342, 575, 981, 1023, 1196,1210, 4, 108, 131, 132, 152, 233, 236, 263, 301,340, 352, 404, 478, 582, 646, 714, 739, 780,799, 921, 941, 1117, 1136, 1181, 1182, 1272,1298, 1369, 1456, 1473, 1613, 1650, 1733].spectral/ [404]. spectral/difference[1182]. spectrum [1291, 1298, 1634]. speed[370]. sphere[208, 714, 775, 1180, 1278, 1550]. spherical[96, 714, 1182, 1272]. spheroidal [201].spine [18]. spiral [524]. Spline [421, 949,1561, 261, 348, 535, 537, 574, 605, 621, 723,748, 776, 859, 869, 1099, 1108, 1300, 1378,1379, 1441, 1487, 1607, 1610, 1647, 1683].spline-fitting [535]. splines[205, 207, 209, 334, 345, 359, 366, 486, 524,578, 622, 657, 749, 963, 1019, 1110, 1133,1244, 1266, 1289, 1390, 1403, 1443, 1483,1531, 1616, 1618, 1617, 1619]. split[450, 615, 829]. split-step [829]. split-steps[615]. Splitting [766, 49, 147, 264, 300, 324,357, 485, 589, 612, 665, 741, 767, 918, 953,959, 958, 968, 1111, 1126, 1124, 1144, 1181,1239, 1496, 1510, 1586, 1587, 1796].splittings [952, 591].splittings-convergence [952]. spreading[174]. Spurious[680, 1032, 899, 1055, 1380, 1562, 1636].SQP [849, 875]. square [408, 425, 462, 627].Squared [632]. squares[133, 215, 317, 440, 501, 534, 537, 538, 551,610, 611, 773, 1244, 1288, 1310, 1350, 1359,1425, 1424, 1555, 1564, 1630, 1644, 1747].squaring [313]. Stability[31, 63, 99, 112, 128, 152, 153, 218, 267, 388,470, 527, 619, 634, 654, 1511, 783, 913, 946,1015, 1025, 1056, 1050, 1066, 1246, 1249, 1294,1302, 1562, 1602, 1629, 1675, 1780, 1797, 1045,1046, 126, 149, 151, 170, 288, 307, 335, 334,

369, 375, 376, 377, 432, 444, 520, 525, 528,532, 561, 615, 709, 796, 811, 819, 848, 914, 916,915, 917, 954, 965, 985, 989, 1011, 1105, 1132,1143, 1184, 1197, 1221, 1240, 1254, 1256, 1257,1274, 1273, 1388, 1496, 1499, 1672, 1691, 1712,1748, 1776, 592, 1698, 1692, 1693, 1697, 1696].stability [1220]. Stabilization[21, 1188, 244, 480, 571, 726, 911, 1215, 1242,1314, 585]. stabilized[9, 101, 145, 168, 373, 656, 786, 849, 950, 961,1004, 1166, 1226, 1411, 1588, 1601, 1667].Stable [190, 191, 438, 637, 898, 1255, 26,457, 458, 526, 862, 937, 947, 1070, 1076,1126, 1185, 1211, 1275, 1310, 1314, 1366,1601, 1710, 1795, 585, 590]. stage[1327, 1581]. staggered [498, 1805].Standard [127, 93, 138, 317, 1270]. starlike[1442]. stars [1057, 1706]. starting [390].state [41, 119, 332, 466, 703, 708].state/Hopf [1764]. states [740]. static[100, 1715]. stationary[112, 633, 687, 738, 746, 792, 1093, 1195, 1366].Steady [1764, 119, 169, 708, 1085].Steady-state [1764, 119, 708].Steady-state/Hopf [1764]. steepest[552, 553, 564, 582, 908]. Stefan[314, 477, 573, 644, 700, 697, 1002, 1213,1290, 1436, 1437, 1635, 1713]. Steklov[62, 810, 1018, 1774]. stencils [577]. step[162, 202, 367, 390, 519, 598, 696, 824, 829,875, 907, 936, 1119, 1120, 1195, 1567, 1595].step-size [598]. steplength [841, 1503].stepping[93, 1130, 1247, 1381, 1382, 1502, 1611].steps [615, 1782]. stepsize [382, 945]. stiff[424, 550, 662, 979, 1005, 1033, 1410, 1700].Stochastic[294, 1253, 90, 94, 155, 249, 278, 285, 287,324, 358, 407, 449, 452, 462, 515, 708, 872,1021, 1081, 1080, 1124, 1130, 1165, 1220,1221, 1239, 1243, 1252, 1293, 1341, 1357,1368, 1392, 1394, 1473, 1493, 1670, 670].stochastically [57]. Stokes[757, 918, 1004, 1226, 7, 21, 24, 47, 95, 101,

102, 103, 130, 140, 139, 162, 164, 204, 213,237, 233, 236, 235, 239, 241, 249, 280, 329, 333,335, 334, 380, 384, 393, 426, 471, 507, 626, 649,656, 683, 720, 738, 746, 805, 871, 931, 961, 990,1016, 1097, 1105, 1121, 1125, 1162, 1163, 1197,1230, 1287, 1292, 1299, 1326, 1332, 1395, 1430,1494, 1514, 1535, 1564, 1612, 1709, 1805, 585].Stopping [1344, 287, 1716, 1700]. story[1375]. straightening [1474]. strain [282].strain-limiting [282]. strains [1525].Strang [442]. Strang-type [442].strategies [1011, 1130, 1149, 1450, 1746].strategy [1266, 1328]. Stream [1514, 236].stream-function [236]. streamline[926, 1639]. streamline-diffusion [1639].stress [410, 813, 871]. stresses [506].stretched [1226]. strict [208, 320]. string[1474]. strip [1346]. strip-based [1346].stroboscopic [1545]. Strong [215, 249, 324,540, 1081, 1080, 1243, 1299, 1727, 1499].strongly[522, 543, 880, 1106, 1191, 1248, 1493].structural [228, 811, 812]. structurally[1310]. Structure[1248, 534, 620, 767, 766, 813, 1013, 1286,1417, 1451, 1530, 1735, 1789].structure-preserving [1789]. structured[638, 1703]. studies [222]. Study [728, 753].Sturm[223, 262, 306, 731, 799, 842, 893, 1003, 1489].Sub [334, 1381]. sub-diffusion [1381].Sub-Grid [334]. subcycling [665].subdiffusion [1088, 1089, 1090, 1115].subdivision[609, 903, 1367, 1522, 1772, 1773]. Subgrid[911, 140]. subgrid-scale [140]. subject[581, 1802]. submatrix [1740].Subsampled [217, 279]. subsequent [863].subsonic [1640]. subspace [754, 1072].subspace-breaking [1072].substructuring [1346, 1347]. subtraction[760]. successive [692, 956, 1301].Sufficient [752]. suitable [486]. sum[216, 611]. sums [217, 315, 1132, 1741]. sup

[170, 334, 1185, 1314, 585]. super [651, 908].super-convergence [651]. super-linear[908]. Supercloseness [1242, 1261].superconducting [706, 1637].superconductivity [338, 698, 703].superconductors [193].Superconvergence[673, 924, 1173, 1228, 1338, 1506, 219, 318,350, 1262, 1559, 1620, 1645, 1761].Superconvergent[1209, 1804, 507, 506, 795, 1494].superlinear [1478]. superposition [58].supersmoothness [1617]. supported [479].Supraconvergence [165].supraconvergent [814]. surface[41, 154, 201, 345, 621, 622, 687, 704, 750,859, 1071, 1099, 1154, 1513, 1514].surface-fitting [621]. surfaces[125, 247, 392, 593, 652, 678, 679, 792, 944,943, 950, 951, 1078, 1083, 1122, 1154, 1155,1188, 1260, 1411]. surfactant [174]. survey[1452, 1575]. Sushi [726]. SVD [647].SWIFT [452]. switching [45]. Symm[710, 1207, 1781]. symmetric[210, 418, 494, 504, 508, 506, 661, 1511, 763,937, 1042, 1061, 1070, 1094, 1100, 1229, 1279,1321, 1331, 1337, 1391, 1406, 1426, 1446,1477, 1534, 1585, 1654, 1655].Symmetrization [1264, 173]. symmetry[45, 608, 1073, 1364, 1764].symmetry-breaking [1364, 1764].Symplectic[631, 141, 390, 462, 1238, 1358, 1404].symplecticity [939]. system [17, 34, 178,213, 338, 380, 409, 504, 542, 648, 757, 906,976, 1004, 1097, 1140, 1234, 1248, 1277, 1395,1502, 1533, 1630, 1640, 1739, 1788, 1789].Systems[982, 37, 39, 112, 142, 146, 210, 226, 256, 268,327, 346, 394, 403, 402, 408, 424, 441, 442,450, 454, 514, 550, 558, 583, 608, 620, 631, 638,664, 690, 691, 712, 743, 787, 789, 792, 872, 879,888, 938, 964, 983, 989, 1015, 1024, 1068, 1075,1130, 1177, 1217, 1232, 1286, 1296, 1297, 1313,

1333, 1337, 1391, 1408, 1427, 1450, 1473, 1530,1551, 1593, 1684, 1704, 1731, 1780, 1045].Szego [1449, 588].

T [486]. T-splines [486]. Takens[257, 1073, 1072, 1764]. taut [1474]. Taylor[170, 334, 1305, 1585]. technical [906].technique [335, 344, 1291, 1508].techniques [158, 609, 665, 845, 1264].temperature [1502].temperature-dependent [1502]. temporal[1105]. Tensor[750, 326, 459, 1083, 1515, 1639, 1653, 1796].Tensor-product [750, 1639, 1796]. term[285, 1012]. terms[438, 839, 997, 1566, 1584, 562]. test[341, 549, 1005, 1580, 1685]. Testing[1597, 496, 1703]. tetrahedral[1174, 1558, 1618]. textile [906]. texture[699]. th [1220, 1221]. their[109, 444, 550, 742, 1017, 1267, 1354, 1374,1612, 1645, 1722, 1758]. theorem[109, 1057, 1482]. theorems[812, 1434, 1723]. theoretic [1655]. Theory[320, 489, 599, 684, 823, 893, 1006, 1052,1214, 1229, 1605, 1712]. There [630].thermoelastic [1014]. thin[25, 174, 766, 869, 1573, 1616]. thin-walled[766]. third [42, 474, 1806]. third-kind [42].third-order [474, 1806]. Thomas [38, 635].three[102, 207, 720, 918, 931, 962, 1012, 1016,1076, 1292, 1347, 1504, 1581, 1580, 1677].three-body [1580]. three-dimensional[918, 962, 1504]. three-dimensions [102].three-fields [1292]. three-stage [1581].three-term [1012]. three-time-level[1076]. Tikhonov [275]. Time[21, 157, 168, 815, 873, 887, 1322, 6, 53, 63, 93,94, 104, 113, 160, 162, 237, 234, 241, 243, 249,327, 436, 502, 530, 561, 586, 589, 613, 665,670, 679, 700, 734, 737, 736, 785, 791, 813,821, 826, 830, 918, 934, 957, 961, 963, 969,976, 989, 1014, 1022, 1040, 1055, 1076, 1085,

1086, 1087, 1090, 1111, 1121, 1130, 1140, 1144,1152, 1155, 1160, 1169, 1181, 1187, 1247, 1259,1260, 1268, 1272, 1338, 1381, 1382, 1502, 1509,1510, 1525, 1529, 1543, 1583, 1608, 1611, 1629,1633, 1648, 1679, 1724, 1763, 1782, 1788, 585].time-accuracy [969]. Time-dependent[168, 6, 160, 162, 237, 241, 502, 586, 961, 1014,1121, 1144, 1152, 1268, 1338, 1633, 1724, 585].time-discrete [1679]. time-discretization[670]. Time-domain [157, 813, 1187].time-evolution [957]. time-fractional[1022, 1087]. time-harmonic [1272, 1510].time-parallel [957]. time-periodic [1633].time-space [530, 821]. time-splitting[589, 1181]. time-stepping[1130, 1381, 1382, 1502, 1611].time-subcycling [665]. time-varying [989].Timoshenko [975]. Toda [391]. Toeplitz[441, 445, 880]. Toint [1477]. tolerance[980]. tomography [1091, 1469]. tool [758].topology [1519]. torsion [232]. Total[183, 185, 940, 197, 298, 299, 1444].touching [544]. TPFA [651]. Trace[797, 1071, 1626, 1513]. Tracking[1446, 1213]. trajectory [527, 1324].transfer [560, 802, 884]. transform[516, 532, 942, 1521, 1601, 1654].transformation[262, 1323, 1389, 1488, 1583, 1591, 1808].transformations [134, 343, 1331, 1422].transforms[68, 117, 396, 1059, 1322, 1770, 1771].transient [230, 435, 1013, 1612]. transition[791]. transmission[296, 381, 966, 1104, 1768]. transport[19, 51, 308, 487, 785, 823, 1219, 1229, 1280].Transportation [1041]. trapezoidal[615, 1295, 1539]. treatment[785, 1158, 1698]. tree [1177]. tree-based[1177]. Trees [383, 1519]. Trefftz [1160].trial [8]. triangle [1036]. triangular[134, 607, 1349, 1558, 1632].triangularization [1681]. triangulation[1531]. triangulations [677]. trick [701].

tridiagonal [558, 1614]. Trigonometric[976, 1343, 126, 357]. trilinear [416].Trivariate [292]. Trotter [612]. Truncated[889]. Truncation[1296, 540, 860, 1220, 1221, 1694]. Trust[58, 148, 875, 890, 891, 902, 1476, 1671, 1791].Trust-region [58, 148, 891, 1671].trust-region-free [875]. tuned [790].Turan [1354]. turbulent [1504]. turning[1363, 1621]. TV [699]. TVD [1674].TVNE [1806]. Two[202, 242, 398, 1016, 1118, 1327, 1400, 1581,1659, 4, 9, 34, 102, 116, 134, 146, 162, 164,205, 249, 259, 262, 274, 296, 309, 316, 347,406, 455, 456, 469, 464, 519, 574, 689, 707,732, 736, 788, 799, 803, 904, 974, 978, 1002,1115, 1211, 1215, 1236, 1269, 1271, 1275,1277, 1281, 1290, 1317, 1346, 1379, 1430,1464, 1474, 1497, 1504, 1562, 1594, 1607, 1638,1643, 1642, 1679, 1714, 1767, 1768, 1777].two- [102]. two-by-two [146].two-dimensional [116, 205, 249, 296, 309,347, 732, 736, 978, 1115, 1211, 1269, 1275,1317, 1430, 1767, 1768]. two-factor [1271].Two-grid [398]. Two-level[1118, 1659, 469, 1327, 1777].two-parameter [262, 1464]. two-phase[34, 406, 1002, 1290, 1497]. Two-point[202, 4, 259, 274, 455, 456, 689, 904, 974,1379, 1607, 1638, 1643, 1642, 1714].Two-scale [1400, 1236]. Two-sided [242].Two-stage [1327, 1581]. two-step[162, 519]. twofold [817, 825, 828]. type[32, 96, 266, 442, 497, 596, 616, 662, 676, 703,786, 787, 807, 869, 881, 886, 941, 992, 1002,1037, 1140, 1173, 1182, 1199, 1238, 1251,1293, 1297, 1314, 1317, 1358, 1418, 1428,1540, 1597, 1618, 1626, 1635, 1653, 1677,1715, 1721, 1746, 1770, 1771, 1774, 1776,1804, 590, 109, 548, 624, 629, 878, 946, 1095,1351, 1570, 1623, 1622, 1643, 1642]. type-6[1618]. type-II [703].

ultraspherical [941]. Unbiased [1180].

unbounded [1074, 1461]. uncertain[1271, 1466]. uncertainty [40, 538, 1083].Unconditional [962]. unconditionally[156, 1126, 1271, 1275]. unconstrained[108, 568, 1476, 1668, 1793].underdetermined [523]. underflow [760].understanding [288]. unfitted[182, 184, 372, 636, 766, 1201, 1599].unfitted-mesh [766]. unidimensional[644, 1224, 1436]. Unified [992, 1055, 1787,417, 516, 629, 1153, 1673, 562]. Uniform[443, 548, 561, 1142, 1276, 1382, 1458, 1610,1724, 1776, 1794, 247, 318, 444, 719, 752,969, 1040, 1168, 1348, 1543, 1559].uniform-in-time [1040]. Uniformly[1806, 1, 26, 470, 502, 1277, 1647].unilateral [89, 212, 625, 1659]. unipolar[397]. uniqueness [1729]. unit[368, 714, 955, 1459]. unitary [1031]. unity[686]. Univariate [206, 361, 610, 611].unknown [1552]. unsteady [1484, 1641].unstructured [725]. unsymmetric [469].updates [1153, 1534, 1802, 1803].Updating [1539, 1426, 1477]. upper [1539].Upwind [1123, 19, 66, 308, 356, 427, 438,1028, 1233, 1276, 1348, 1523, 1533].upwind- [1348]. upwinding [1675]. Use[1172, 133, 160, 955, 1153, 1486, 1601]. user[1590]. user-friendly [1590]. Using[557, 1691, 168, 182, 262, 291, 325, 361, 394,395, 404, 486, 547, 558, 578, 622, 673, 708,712, 726, 870, 1011, 1019, 1086, 1114, 1198,1244, 1255, 1274, 1315, 1341, 1352, 1395,1616, 1623, 1622, 1800, 592]. Uzawa [1342].Uzawa-based [1342].

V [1036]. validity [368]. valuation[1021, 1814]. value [4, 48, 49, 66, 97, 191,259, 260, 274, 308, 455, 456, 475, 483, 522,689, 817, 848, 852, 895, 896, 904, 974, 1008,1032, 1070, 1186, 1276, 1311, 1362, 1379,1468, 1484, 1607, 1638, 1643, 1642, 1646,1647, 1710, 1714, 1753, 1700, 1694, 1695].valued [226, 892, 1141, 1208, 1773]. values

[1077, 1579]. Vandermonde [982, 1704].Vandermonde-like [982]. vanishing [353].variable[59, 113, 245, 327, 390, 404, 473, 483, 516, 556,913, 1103, 1102, 1247, 1425, 1540, 1781, 1792].variable-degree [473]. variable-metric[556]. variable-step [390]. variables [681].variably [310]. variance [537]. variant[718]. variants [1606]. variate [895].variation [197, 298, 299, 940]. Variational[963, 1144, 1518, 1529, 1658, 138, 168, 193,191, 294, 302, 472, 490, 559, 700, 702, 817,857, 973, 997, 999, 1127, 1205, 1204, 1215,1386, 1387, 1404, 1420, 1445, 1548, 1557,1629, 1653, 1659].variational-hemivariational [559].variational-iterative [1548].Variational-splitting [1144]. varieties[1703]. varying [426, 989]. Vector[892, 132, 751, 951, 1071, 1367, 1651, 1666].vector-Laplace [1071]. Vector-valued[892]. vectors [647, 850]. velocity[384, 1230]. Vera [863]. Verification [343].version [200, 247, 838, 837, 948, 977, 1009,1384, 1558, 1759]. versions [1627]. versus[535, 883, 895, 896, 980]. vertex[713, 814, 819]. vertex-centered [713].very [521]. via [328, 460, 517, 518, 638, 664,904, 957, 1083, 1322, 1323]. vibration[228, 975]. vibrations [198]. Vibro [1482].Vibro-impact [1482]. VIEs [42].viewpoint [768]. Virtual [399, 816, 1719,55, 384, 401, 480, 1203, 1369, 563].viscoelastic [168]. viscoelasticity[22, 1190]. viscoplastic [1194]. viscosity[918, 994]. viscosity-splitting [918].viscous [1125, 1458]. volatilities [1021].volatility [1271, 1466]. Volterra[1284, 149, 153, 218, 267, 348, 347, 351, 349,350, 561, 629, 909, 941, 1017, 1023, 1066,1107, 1256, 1257, 1258, 1270, 1283, 1317,1505, 1570, 1578, 1657, 1721, 1751, 1776,1797, 1661, 1698]. Volterra-type[629, 1570]. Volume

[71, 65, 73, 107, 253, 252, 258, 308, 312, 397,406, 417, 428, 437, 435, 434, 436, 450, 451,487, 510, 648, 651, 652, 713, 724, 725, 728,727, 814, 973, 1021, 1115, 1374, 1385, 1395,1408, 1547, 1616, 1726, 1785, 1786, 1787,1796, 1814, 75, 78, 80, 82].volume-preserving [1796]. volumes [562].volumetric [1196]. Vortex [1615, 1800].vortices [706, 1637]. vorticity[56, 236, 1269]. Vries[533, 1000, 1178, 1428, 1561].

Waals [174]. Wachspress [878].Wachspress-type [878]. WAF [1665]. walk[684, 1180]. walk-on-sphere [1180]. walled[766]. Warming [1673]. Warming-Beam[1673]. water [92, 93, 229, 300, 1484].waterbag [251]. Wave[295, 201, 224, 425, 448, 453, 515, 737, 736,735, 739, 761, 836, 873, 934, 957, 992, 993,999, 1013, 1014, 1044, 1083, 1160, 1191, 1238,1282, 1384, 1484, 1493, 1744, 1759].Wave-number [295]. wave-structure[1013]. wave-thermoelastic [1014].wave-type [992]. waveform [1538, 1763].waveguide [1196]. Wavelet[244, 452, 459, 1628]. wavelet-based [452].wavelets [1393]. Wavenumber [453, 1272].waves [719]. Weak [141, 358, 449, 471, 528,1150, 1368, 50, 140, 276, 341, 928, 1377].weakly [247, 267, 348, 445, 521, 624, 1023,1383, 1408, 1464, 1627, 1657, 1661]. Weber[846]. wedge [120]. Weierstrass [531].weight [448, 1309, 1449]. Weighted[371, 1447, 87, 171, 717, 861, 981, 1074, 1401,1492, 1655, 1656]. weights[1129, 1449, 1680]. Weiner [1307].Weiner-Hopf [1307]. Well[1384, 429, 521, 850, 1402, 1535].well-conditioned [850]. well-posed[521, 1535]. Well-posedness [1384].well-reservoir [429]. Wendroff[1251, 1673]. Wendroff-type [1251].Wentzell [163]. were [929]. Westervelt

REFERENCES 36

[1111]. which [880, 1812]. white [278, 1243].whole [1680]. Wick [1293]. wide [1476].wider [879]. widths [513]. Wiener[666, 884]. Willmore [191]. Wilson [467].Winther [410]. withdrawal [1029].without [1182, 1413, 1475, 1592]. work[658, 663]. worst [555, 1448]. worst-case[555]. Wrap [964]. Wrap-around [964].

Xin [1571].

years [863].

Zakharov [976, 1640]. zeros [54, 609, 885,1054, 1306, 1307, 1553].

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Anastasselou:1986:FCD

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Barrett:1996:EBF

[175] John W. Barrett and James F. Blowey.An error bound for the finite elementapproximation of a model for phaseseparation of a multi-component alloy.IMA Journal of Numerical Analysis, 16(2):257–287, April 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_02/160257.sgm.abs.html.

Barrett:1998:FEA

[176] John W. Barrett and James F. Blowey.Finite element approximation of amodel for phase separation of a multi-component alloy with a concentration-dependent mobility matrix. IMAJournal of Numerical Analysis, 18(2):287–328, April 1998. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/180287.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/pdf/180287.pdf.

Barrett:1999:IEB

[177] John W. Barrett and James F.Blowey. An improved error boundfor a finite element approximation ofa model for phase separation of amulti-component alloy. IMA Jour-

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nal of Numerical Analysis, 19(1):147–168, January 1999. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/190147.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_19/Issue_01/pdf/190147.pdf.

Barrett:2002:FEA

[178] John W. Barrett and James F. Blowey.Finite element approximation of anAllen–Cahn/Cahn–Hilliard system.IMA Journal of Numerical Analysis, 22(1):11–71, January 2002. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/220011.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/pdf/220011.pdf.

Barrett:2018:CFE

[179] John W. Barrett and Sebastien Boy-aval. Corrigendum to: Finite elementapproximation of the FENE-P model.IMA Journal of Numerical Analysis,38(4):2166–2168, October 16, 2018.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic). URLhttp://academic.oup.com/imajna/article/38/4/2166/5052138. See[180].

Barrett:2018:FEA

[180] John W. Barrett and Sebastien Boy-aval. Finite element approximationof the FENE-P model. IMA Jour-nal of Numerical Analysis, 38(4):1599–1660, October 16, 2018. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/

38/4/1599/4561632. See corrigendum[179].

Barrett:1991:FEA

[181] John W. Barrett, Roma Chakrabarti,and Charles M. Elliott. Finite ele-ment approximation of a rigid punchindenting a membrane. IMA Journalof Numerical Analysis, 11(4):579–594,1991. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Barrett:1984:FEM

[182] John W. Barrett and Charles M. El-liott. A finite-element method for solv-ing elliptic equations with Neumanndata on a curved boundary using un-fitted meshes. IMA Journal of Numer-ical Analysis, 4(3):309–325, July 1984.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Barrett:1986:TFE

[183] John W. Barrett and Charles M. El-liott. Total flux estimates for a finite-element approximation of parabolicequations. IMA Journal of NumericalAnalysis, 6(3):253–264, 1986. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Barrett:1987:FUF

[184] John W. Barrett and Charles M. El-liott. Fitted and unfitted finite-elementmethods for elliptic equations withsmooth interfaces. IMA Journal of Nu-merical Analysis, 7(3):283–300, 1987.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Barrett:1987:TFE

[185] John W. Barrett and Charles M. El-liott. Total flux estimates for a finite-

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element approximation of elliptic equa-tions. IMA Journal of Numerical Anal-ysis, 7(2):129–148, 1987. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Barrett:1988:FEA

[186] John W. Barrett and Charles M. El-liott. Finite-element approximation ofelliptic equations with a Neumann orRobin condition on a curved bound-ary. IMA Journal of Numerical Anal-ysis, 8(3):321–342, 1988. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Barrett:1989:FEA

[187] John W. Barrett and Charles M.Elliott. Finite-element approxima-tion of a plasma equilibrium prob-lem. IMA Journal of Numerical Anal-ysis, 9(4):443–464, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Barrett:2008:NAA

[188] John W. Barrett, Harald Garcke, andRobert Nurnberg. Numerical approxi-mation of anisotropic geometric evolu-tion equations in the plane. IMA Jour-nal of Numerical Analysis, 28(2):292–330, April 2008. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/28/2/292; http://imajna.oxfordjournals.org/cgi/reprint/28/2/292.

Barrett:2010:NAG

[189] John W. Barrett, Harald Garcke,and Robert Nurnberg. Numericalapproximation of gradient flows for

closed curves in d. IMA Jour-nal of Numerical Analysis, 30(1):4–60, January 2010. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/4; http://imajna.oxfordjournals.org/cgi/reprint/30/1/4.

Barrett:2014:SPF

[190] John W. Barrett, Harald Garcke,and Robert Nurnberg. Stable phasefield approximations of anisotropic so-lidification. IMA Journal of Nu-merical Analysis, 34(4):1289–1327,October 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/4/1289.

Barrett:2017:SVA

[191] John W. Barrett, Harald Garcke,and Robert Nurnberg. Stable vari-ational approximations of boundaryvalue problems for Willmore flow withGaussian curvature. IMA Journalof Numerical Analysis, 37(4):1657–1709, October 1, 2017. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL https://academic.oup.com/imajna/article/37/4/1657/3063839.

Barrett:2020:NAC

[192] John W. Barrett, Harald Garcke, andRobert Nurnberg. Numerical ap-proximation of curve evolutions inRiemannian manifolds. IMA Jour-nal of Numerical Analysis, 40(3):1601–1651, July 2020. CODEN IJ-NADH. ISSN 0272-4979 (print),

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Barrett:2015:SSN

[193] John W. Barrett and Leonid Prigozhin.Sandpiles and superconductors: non-conforming linear finite element ap-proximations for mixed formulationsof quasi-variational inequalities. IMAJournal of Numerical Analysis, 35(1):1–38, January 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/1/1.

Barrett:2009:NAC

[194] John W. Barrett and Endre Suli.Numerical approximation of corota-tional dumbbell models for dilutepolymers. IMA Journal of Nu-merical Analysis, 29(4):937–959, Oc-tober 2009. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/29/4/937; http://imajna.oxfordjournals.org/cgi/reprint/29/4/937.

Barrios:2010:PPE

[195] Tomas P. Barrios and RommelBustinza. A priori and a posteriori er-ror analyses of an augmented discontin-uous Galerkin formulation. IMA Jour-nal of Numerical Analysis, 30(4):987–1008, October 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/30/4/987.full.pdf+html.

Bartels:2013:SSA

[196] Soren Bartels. A simple scheme forthe approximation of the elastic flowof inextensible curves. IMA Jour-nal of Numerical Analysis, 33(4):1115–1125, October 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/4/1115.full.pdf+html.

Bartels:2016:BSS

[197] Soren Bartels. Broken Sobolev spaceiteration for total variation regularizedminimization problems. IMA Jour-nal of Numerical Analysis, 36(2):493–502, April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/493.

Bartels:2016:SSA

[198] Soren Bartels. A simple scheme forthe approximation of elastic vibrationsof inextensible curves. IMA Jour-nal of Numerical Analysis, 36(3):1051–1071, July 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/3/1051.

Bartels:2018:SSA

[199] Soren Bartels, Philipp Reiter, andJohannes Riege. A simple schemefor the approximation of self-avoidinginextensible curves. IMA Journalof Numerical Analysis, 38(2):543–565,April 18, 2018. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.

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Bartholomew-Biggs:1988:GCV

[200] M. C. Bartholomew-Biggs. A globallyconvergent version of REQP for con-strained minimization. IMA Journalof Numerical Analysis, 8(2):253–271,1988. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Barucq:2021:SDW

[201] Helene Barucq, M’Barek Fares, CarolaKruse, and Sebastien Tordeux. Spar-sified discrete wave problem involv-ing a radiation condition on a pro-late spheroidal surface. IMA Jour-nal of Numerical Analysis, 41(1):315–343, January 2021. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://academic.oup.com/imajna/article/41/1/315/5627734.

Barzilai:1988:TPS

[202] Jonathan Barzilai and Jonathan M.Borwein. Two-point step size gradi-ent methods. IMA Journal of Nu-merical Analysis, 8(1):141–148, 1988.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Bauermeister:2010:FEA

[203] Norbert Bauermeister and SimonShaw. Finite-element approximationof non-Fickian polymer diffusion. IMAJournal of Numerical Analysis, 30(3):702–730, July 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/3/702; http://imajna.oxfordjournals.org/cgi/reprint/30/3/702.

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Beatson:1997:FER

[205] R. K. Beatson and W. A. Light.Fast evaluation of radial basis func-tions: methods for two-dimensionalpolyharmonic splines. IMA Jour-nal of Numerical Analysis, 17(3):343–372, July 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_03/170343.sgm.abs.html.

Beatson:1992:UIR

[206] R. K. Beatson and M. J. D. Powell.Univariate interpolation on a regular fi-nite grid by a multiquadric plus a lin-ear polynomial. IMA Journal of Nu-merical Analysis, 12(1):107–133, 1992.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Beatson:2007:FEP

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Behforooz:1981:ECI

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Behie:1983:CFI

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Belenki:2012:OAF

[211] Liudmila Belenki, Lars Diening, andChristian Kreuzer. Optimality of anadaptive finite element method forthe p-Laplacian equation. IMA Jour-nal of Numerical Analysis, 32(2):484–510, April 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/2/484.full.pdf+html.

Belgacem:2012:UCB

[212] Faker Ben Belgacem, Christine Bernardi,Adel Blouza, and Martin Vohralık. Onthe unilateral contact between mem-branes. Part 2: a posteriori analysisand numerical experiments. IMA Jour-nal of Numerical Analysis, 32(3):1147–1172, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/1147.full.pdf+html.

Belhachmi:2004:RPE

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Belhachmi:2006:FEA

[214] Zakaria Belhachmi, Dorin Bucur, andJean-Marc Sac-Epee. Finite ele-ment approximation of the Neumanneigenvalue problem in domains withmultiple cracks. IMA Journal ofNumerical Analysis, 26(4):790–810,October 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/26/4/790; http://imajna.oxfordjournals.org/cgi/reprint/26/4/790.

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Bellavia:2021:ACR

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Bellen:2002:PSN

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Bellettini:1996:NSM

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Beltran:2011:ECN

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Ben-Artzi:2018:DFO

[223] Matania Ben-Artzi, Jean-Pierre Croisille,Dalia Fishelov, and Ron Katzir.Discrete fourth-order Sturm–Liouvilleproblems. IMA Journal of Nu-merical Analysis, 38(3):1485–1522,July 17, 2018. CODEN IJ-NADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/38/3/1485/4084722.

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Benouahmane:2019:NMC

[225] Brahim Benouahmane, Cuyt Annie,and Irem Yaman. Near-minimal cu-bature formulae on the disk. IMAJournal of Numerical Analysis, 39(1):297–314, January 25, 2019. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://academic.oup.com/imajna/article/39/1/297/4718074.

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Bermudez:2012:NST

[230] Alfredo Bermudez, Bibiana Lopez-Rodrıguez, Rodolfo Rodrıguez, andPilar Salgado. Numerical solu-tion of transient eddy current prob-lems with input current intensitiesas boundary data. IMA Journalof Numerical Analysis, 32(3):1001–1029, July 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/3/1001.full.pdf+html.

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[231] Alfredo Bermudez, Carlos Reales,Rodolfo Rodrıguez, and Pilar Sal-gado. Numerical analysis of afinite-element method for the ax-isymmetric eddy current model ofan induction furnace. IMA Jour-nal of Numerical Analysis, 30(3):654–676, July 2010. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/30/3/654; http://imajna.oxfordjournals.org/cgi/reprint/30/3/654.

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[232] A. Bermudez de Castro Lopez. Amixed method for the elastoplastic tor-sion problem. IMA Journal of Numeri-

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Bernardi:1990:SGS

[233] Christine Bernardi, Claudio Canuto,Yvon Maday, and Brigitte Metivet.Single-grid spectral collocation for theNavier–Stokes equations. IMA Journalof Numerical Analysis, 10(2):253–297,1990. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

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[234] Christine Bernardi, Linda El Alaoui,and Zoubida Mghazli. A posteri-ori analysis of a space and timediscretization of a nonlinear modelfor the flow in partially saturatedporous media. IMA Journal of Nu-merical Analysis, 34(3):1002–1036,July 2014. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/34/3/1002.

Bernardi:2001:EIM

[235] Christine Bernardi, Nicolas Fietier,and Robert G. Owens. An error in-dicator for mortar element solutionsto the Stokes problem. IMA Jour-nal of Numerical Analysis, 21(4):857–886, October 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/210857.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_04/pdf/210857.pdf.

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Bernardi:1987:MMT

[237] Christine Bernardi, Edwige Godlewski,and Genevieve Raugel. A mixedmethod for the time-dependent Navier–Stokes problem. IMA Journal of Nu-merical Analysis, 7(2):165–189, 1987.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Bernardi:2013:PAF

[238] Christine Bernardi, Frederic Hecht,Herve Le Dret, and Adel Blouza.A posteriori analysis of a finite el-ement discretization of a Naghdishell model. IMA Journal of Nu-merical Analysis, 33(1):190–211, Jan-uary 2013. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/33/1/190.full.pdf+html.

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Zakerzadeh:2016:HOA

[1795] Hamed Zakerzadeh and Ulrik S. Fjord-holm. High-order accurate, fullydiscrete entropy stable schemes forscalar conservation laws. IMA Jour-nal of Numerical Analysis, 36(2):633–654, April 2016. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/36/2/633.

Zanna:2015:EVP

[1796] Antonella Zanna. Explicit volume-preserving splitting methods fordivergence-free ODEs by tensor-product basis decompositions. IMAJournal of Numerical Analysis, 35(1):89–106, January 2015. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic). URL http://imajna.oxfordjournals.org/content/35/1/89.

Zhang:2004:SAR

[1797] Chengjian Zhang and Stefan Vande-walle. Stability analysis of Runge–Kutta methods for nonlinear Volterradelay-integro-differential equations.IMA Journal of Numerical Analysis, 24(2):193–214, April 2004. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/240193.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_24/Issue_02/pdf/240193.pdf.

REFERENCES 277

Zhang:2012:CAM

[1798] Lei-Hong Zhang and Moody T. Chu.Computing absolute maximum cor-relation. IMA Journal of Numer-ical Analysis, 32(1):163–184, Jan-uary 2012. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/32/1/163.full.pdf+html.

Zhang:2006:DMP

[1799] Li Zhang, Weijun Zhou, and Dong-HuiLi. A descent modified Polak–Ribiere–Polyak conjugate gradient method andits global convergence. IMA Jour-nal of Numerical Analysis, 26(4):629–640, October 2006. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/cgi/content/abstract/26/4/629; http://imajna.oxfordjournals.org/cgi/reprint/26/4/629.

Zhang:1996:CVM

[1800] Pingwen Zhang. Convergence of vor-tex methods in a bounded domainusing linear finite elements. IMAJournal of Numerical Analysis, 16(4):539–548, October 1996. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_04/160539.sgm.abs.html.

Zhang:2020:MCF

[1801] Shuo Zhang. Minimal consistent fi-nite element space for the biharmonicequation on quadrilateral grids. IMAJournal of Numerical Analysis, 40(2):1390–1406, April 2020. CODENIJNADH. ISSN 0272-4979 (print),

Zhang:1987:LCU

[1802] Yin Zhang and R. P. Tewarson. Least-change updates to Cholesky factorssubject to the nonlinear quasi-Newtoncondition. IMA Journal of NumericalAnalysis, 7(4):509–521, 1987. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Zhang:1988:QNA

[1803] Yin Zhang and R. P. Tewarson. Quasi-Newton algorithms with updates fromthe preconvex part of Broyden’s family.IMA Journal of Numerical Analysis, 8(4):487–509, October 1988. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Zhang:2001:SDR

[1804] Zhimin Zhang, Ningning Yan, andTong Sun. Superconvergent deriva-tive recovery for the intermediate fi-nite element family of the second type.IMA Journal of Numerical Analysis, 21(3):643–665, July 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/210643.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/pdf/210643.pdf.

Zhao:2020:LOS

[1805] Lina Zhao and Eun-Jae Park. A lowest-order staggered DG method for thecoupled Stokes–Darcy problem. IMAJournal of Numerical Analysis, 40(4):2871–2897, October 2020. CODENIJNADH. ISSN 0272-4979 (print),

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Zhao:1993:UTO

[1806] Ning Zhao and Jia Zun Dai. Uniformlythird-order accurate TVNE interpola-tions. IMA Journal of Numerical Anal-ysis, 13(2):255–261, 1993. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Zheng:2015:CAM

[1807] Hui Zheng and Jinbiao Wu. Con-vergence analysis on multigrid meth-ods for elliptic problems with largejumps in coefficients. IMA Journal ofNumerical Analysis, 35(4):1888–1912,October 2015. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imajna.oxfordjournals.org/content/35/4/1888.

Zhou:2005:CNS

[1808] Jiansong Zhou and Zhiping Li. Com-puting non-smooth minimizers with themesh transformation method. IMAJournal of Numerical Analysis, 25(3):458–472, July 2005. CODEN IJNADH.ISSN 0272-4979 (print), 1464-3642(electronic). URL http://imanum.oxfordjournals.org/cgi/content/abstract/25/3/458; http://imanum.oxfordjournals.org/cgi/reprint/25/3/458.

Zhu:2011:RPE

[1809] Liang Zhu and Dominik Schotzau. Arobust a posteriori error estimate for hpadaptive DG methods for convection–diffusion equations. IMA Journalof Numerical Analysis, 31(3):971–1005, July 2011. CODEN IJNADH.

Zietak:1983:PMS

[1810] K. Zietak. The properties of the min-imax solution of a nonlinear matrixequationXY = A. IMA Journal of Nu-merical Analysis, 3(2):229–244, 1983.CODEN IJNADH. ISSN 0272-4979(print), 1464-3642 (electronic).

Zietak:1987:PSL

[1811] K. Zietak. Properties of the l1-solutionsof the linear matrix equation AX +Y B = C. IMA Journal of NumericalAnalysis, 7(2):223–233, 1987. CODENIJNADH. ISSN 0272-4979 (print),1464-3642 (electronic).

Zietak:1989:PAM

[1812] K. Zietak. Properties of the approx-imations of a matrix which lower itsrank. IMA Journal of Numerical Anal-ysis, 9(4):545–554, 1989. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic).

Zubik-Kowal:1997:MLP

[1813] Barbara Zubik-Kowal. The methodof lines for parabolic differential-functional equations. IMA Jour-nal of Numerical Analysis, 17(1):103–123, January 1997. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/170103.sgm.abs.html.

Zvan:2001:FVA

[1814] R. Zvan, P. A. Forsyth, and K. R.Vetzal. A finite volume approach

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for contingent claims valuation. IMAJournal of Numerical Analysis, 21(3):703–731, July 2001. CODEN IJ-NADH. ISSN 0272-4979 (print), 1464-3642 (electronic). URL http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/210703.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_21/Issue_03/pdf/210703.pdf.

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