TRANSPORT D’ELECTRONS (Th.) A. DUBUS, J. DEVOOGHT, J.C. DEHAES Approximate solutions of the Boltzmann equation for secondary electron emission : results and comparison with experiments. Scanning Miscroscopy, 4 (1), 1-20, 1990 J. DEVOOGHT, J.C. DEHAES, A. DUBUS, M. CAILLER, J.P. GANACHAUD Theoretical descriptions of secondary electron emission induced by electron and ion beams impinging on solids. in Springer Tracts in Modern Physics Vol. 122, Particle Induced Electron Emission I, Springer Verlag, Berlin, pp. 67-128, 1991 J. DEVOOGHT, A. DUBUS, J.C. DEHAES Approximate solution of the Boltzmann electron transport equation in a semi-infinite medium and surface correction to the secondary electron yield. Nucl. Instr. Meth., B67, 650-654, 1992 C. SMIDTS, A. DUBUS, J.C. DEHAES, A. HAFNI, J.P. GANACHAUD Study of the influence of the electron capture and loss process on the secondary electron emission induced by protons in aluminium. Nucl. Instr. Meth., B67, 646-649, 1992 J.C. DEHAES, A. DUBUS Proportionality between the secondary electron yield and the electronic stopping power for proton impact on aluminium. Nucl. Instr. Meth. in Physics Research, B78, 255-259, 1993 A. DUBUS, J.C. DEHAES, J.P. GANACHAUD, A. HAFNI, M. CAILLER Monte Carlo evaluation of the influence of the interaction cross sections on the secondary- electron-emission yields from polycrystalline aluminium targets. Phys. Rev. B, 47 (17), 11056-11073, 1993 A. DUBUS, J.P. GANACHAUD, A. HAFNI Proton induced electron emission from amorphous carbon targets. Particle-Solid Interactions, San Sebastian (Espagne), 1-6 octobre, 1994 A. DUBUS Collisions inélastiques et élastiques, transport et échappement des électrons en spectrométries AES et XPS. Le Vide, 52 (279), 24-33, 1996 A. DUBUS, M. ROSLER Microscopic considerations concerning the relation between electron yield and stopping power : calculations for aluminium and carbon. Nucl. Instr. Meth. B, 115, 251-254, 1996 S. BARTHOLOME, A. DUBUS, J. DEVOOGHT, J.P. GANACHAUD, C. ATTARD Microscopic description of proton induced electron emission from insulators : comparison between alumina and aluminum targets. Nucl. Instr. Meth. B, B125, 13-17, 1997 A. DUBUS, J. DEVOOGHT, A. BILLEBAUD, R. KIRSCH, M. FALLAVIER, J.C. POIZAT, J. REMILLIEUX, Z. VIDOVIC Comparison between theory and experiments for the electron emission statistics induced by protons incident on thin carbon foils.

Nucl. Instr. Meth. B, B125, 45-48, 1997 A. DUBUS, M. ROSLER Theoretical study of electron emission induced by neutral particles. Nucl. Instr. Meth. B, B125, 18-22, 1997 S. BARTHOLOME, A. DUBUS, R. RENOUD, C. ATTARD, J.P. GANACHAUD Influence of the description of valence electron excitation of the proton induced electron emission characteristics from insulators calculated by Monte Carlo simulation. Le Vide, 287 Suppl., 519-522, 1998 M. CARON, M. BEUVE, H. ROTHARD, B. GERVAIS, A. DUBUS, M. ROSLER Experimental and theoretical study of target thickness dependent electron yields induced by electrons in carbon. Nucl. Instr. Meth., B135, 436-442, 1998 A. DUBUS, M. ROSLER, Z. VIDOVIC, A. BILLEBAUD, M. FALLAVIER, R. KIRSCH, J.C. POIZAT, R. REMILLIEUX Experimental and computational comparative study of electron emission of thin carbon foils traversed by MeV protons and H atoms in frozen charge states. Nucl. Instr. Meth., B135, 443-449, 1998 J.P. GANACHAUD, C. ATTARD, R. RENOUD, S. BARTHOLOME, A. DUBUS Monte Carlo simulation of the charge distribution induced in a insulator by a low energy electron beam. Le Vide, 287 Suppl., 511-514, 1998 R. RENOUD, C. ATTARD, J.P. GANACHAUD, S. BARTHOLOME, A. DUBUS Influence on the secondary electron yield of the space charge induced in an insulating target by an electron beam. J. Phys. : Condensed Matter, 10, 5821-5832, 1998 B. TOMBUYSES, A. DUBUS Contribution to the study of elastic electron backscattering from polycrystalline metallic targets by Monte Carlo simulation. Math. Comput. Simul., 47, 483-491, 1998 O.F. SMIDTS, A. DUBUS, Z. VIDOVIC, A. BILLEBAUD, M. FALLAVIER, R. KIRSCH, J.C. POIZAT, J. REMILLIEUX, M. RÖSLER Theoretical and experimental study of the correlation between forward and backward electron emissions induced by Ho or H+ incident on carbon foils. Nucl. Instr. Meth. B, 157, 239-245, 1999 A. DUBUS, A. JABLONSKI, S. TOUGAARD Evaluation of theoretical models for elastic electron backscattering from surfaces. Prog. Surf. Sc., 63, 135-175, 2000 A. DUBUS, M. ROSLER, O. BENKA Monte Carlo simulation of kinetic electron emission induced by Mev He+ and He++ ions incident on polycrystalline aluminium. Math. Comput. Simul., 55, 37-48 (2001) A. DUBUS, N. PAULY, M. RÖSLER, H. ROTHARD, M. BEUVE, M. CARON, B. GERVAIS, A. CLOUVAS, C. POTIRIADIS Experimental and theoretical study of the ratio between the electron emission yield and the electronic stopping power for protons incident on thin carbon foils.

Nucl. Instr. Meth. B, 193, 621-625 (2002) N. PAULY, A. DUBUS, M. RÖSLER Electron capture and loss processes for protons in aluminium : comparison between conduction band electron-hole assisted processes and plasmon assisted Auger processes. Nucl. Instr. Meth. B, 193, 414-418 (2002) E. ATANASSOV, I. DIMOV, A. DUBUS A new weighted Monte Carlo algorithm for elastic electron backscattering from surfaces. Mathematics and Computers in Simulation, 62, 297-305 (2003) A. DUBUS, N. PAULY, M. RÖSLER Electron emission from below the surface induced by highly charged ions : effect of depth distribution of electron excitation and ion transport on the emission properties. Nuclear Instruments B, 205, 730-735 (2003)

J.I. JUARISTI, R. DIEZ MUINO, A. DUBUS, M. RÖSLER Charge-state dependence of kinetic electron emission induced by slow ions in metals. Physical Review A, 68, 012902.1-7 (2003) N. PAULY, A. DUBUS, M. RÖSLER Influence of the charge changing processes on proton induced electron emission from polycristalline aluminium. Nucl. Instr. Meth. B, 203, 36-40 (2003) N. PAULY, A. DUBUS, M. RÖSLER Comparison of the potentials used for the calculations of the resonant coherent electron capture and loss. Journal of Electron Spectroscopy, 129, 229-232 (2003) N. PAULY, A. DUBUS, M. RÖSLER Electron emission induced by hydrogen atoms and protons incident on aluminium : effect of the projectile charge state. Nuclear Instruments and Methods B, 212, 386-390 (2003) N. PAULY, A. DUBUS, M. RÖSLER Influence of charge changing processes on the forward to backward electron emission yield ratio for light ions impinging on thin metallic foils. Nuclear Instruments and Methods B, 212, 391-396 (2003) N. PAULY Influence of the charge changing processes on ion induced electron emission. Thèse de doctorat en Sciences Appliquées, Université Libre de Bruxelles (2003) N. PAULY, A. DUBUS, M. RÖSLER, H. ROTHARD, A. CLOUVAS, C. POTIRIADIS Electron emission induced by H+ and Ho incident on thin carbon foils : influence of charge changing processes. Nucl. Instr. Meth. B 230:1-4, 460-465 (2005) C. POTIRIADIS, A. CLOUVAS, H. ROTHARD, N. PAULY, A. DUBUS, M. RÖSLER Influence of the target thickness on the backward and forward electron emission characteristics induced by protons incident on thin carbon foils. Nucl. Instr. Meth. B 230:1-4, 466-470 (2005) N. PAULY, S. TOUGAARD, F. YUBERO Theoretical study of the surface excitation parameter from reflection-electron-energy-loss spectra. Soumis pour publication dans Surf. Interface Anal. N. PAULY, S. TOUGAARD, F. YUBERO Oscillating surface effect in reflection-electron-energy-loss spectra. Soumis pour publication dans Phys. Rev. B.

FIABILITE DES SYSTEMES INDUSTRIELS J. DEVOOGHT, A. DUBUS, C. SMIDTS. Suboptimal inspection policies for imperfectly observed realistic systems. European Journal of Operational Research, 46, 203-218, 1990 B. ARIEN, D. LAMY, J. DEVOOGHT, C. SMIDTS Reliability analysis of large systems by the markovian technique : development of the CAMERA software. Colloque international sur l'utilisation de l'évaluation probabiliste de la sûreté PSA 91, Vienne, 1991 J. DEVOOGHT, C. SMIDTS Probabilistic reactor dynamics : computational models. Transactions Winter Meeting, ANS 91, pp. 289-291, 1991 C. SMIDTS Simulation des séquences industrielles accidentelles prenant en compte le facteur humain. Application au domaine des centrales nucléaires Thèse de doctorat, ULB, 1991 J. DEVOOGHT, C. SMIDTS Probabilistic reactor dynamics. I. The theory of continuous event trees. Proc. of the International Topical Meeting on Advances in Mathematics, Computations and Reactor Physics, April 28-May 1, 1991, Pittsburgh, USA + NSE, 111, 229-240, 1992 J. DEVOOGHT, C. SMIDTS Probabilistic reactor dynamics. III. A framework for time dependent interaction between operator and reactor during a transient involving human error. NSE, 112, 101-113, 1992 J. DEVOOGHT, B. TOMBUYSES, C. SMIDTS Réduction de la taille des systèmes markoviens et application. Travail réalisé pour l'E.D.F. (rapport), 1992 C. SMIDTS Probabilistic reactor dynamics. IV. An example of man-machine interaction. NSE, 112, 114-126, 1992 C. SMIDTS, J. DEVOOGHT Probabilistic reactor dynamics. II. A Monte Carlo study of a fast reactor transients. Proc. of the International Topical Meeting on Advances in Mathematics, Computations and Reactor Physics, April 28-May 1, 1991, Pittsburgh, USA + Nucl. Sc. Eng., 111, 241-256, 1992 J. DEVOOGHT, B. TOMBUYSES, C. SMIDTS The use of components influence graph to reduce the size of markovian reliability problems. Proc. ESREL : "Safety and Reliability Assessment. An integral approach", P. Kafka and J. Wolf, eds. Elsevier, Munich, pp. 661-670, 1993

P.E. LABEAU, J. DEVOOGHT Synthesis of distributions for probabilistic reactor dynamics. Proc. of M&C/SNA '93, Vol. I, pp. 303-315, 1993 J. DEVOOGHT Uncertainty and its propagation in dynamic models. Conference on "Model uncertainty, its characterization and quantification", October 1993, Annapolis (USA), Report NUREG/CP-0138, 1994 J. DEVOOGHT, C. SMIDTS Probabilistic dynamics : the mathematical and computing problems ahead. Proc. AWR NATO ASI, Série F, Springer Verlag, Vol. 120, pp. 85-100, 1994 J. DEVOOGHT, C. SMIDTS A theoretical analysis of Dylam-type event tree sequences. Proc. PSAM-II, San Diego (USA), March 20-24, pp. 011-1-6, 1994 J. DEVOOGHT, B. TOMBUYSES The use of the component influence graph to reduce the size of markovian availability problems. RESS, 46 (3), 237-244, 1994 C. SMIDTS, J. DEVOOGHT Probabilistic dynamics : a numerical comparison between a continuous event tree and a Dylam-type event tree. Proc. PSAM-II, San Diego (USA), March 20-24, pp. 011-7-12, 1994 B. TOMBUYSES Modélisation markovienne en fiabilité. Réduction des grands systèmes. Thèse de doctorat, Université Libre de Bruxelles, 1994 B. TOMBUYSES, B. ARIEN, D. LAMY Automatic construction of markovian transition matrices for the treatment of large size reliability problems. Proc. PSAM-II, San Diego (USA), March 20-24, 1994 B. ARIEN, B. TOMBUYSES, D. LAMY Reliability of an isolation command circuit : description of the system and fault tree analysis. Proc. of the Int. Conf. on Probabilistic Safety Assessment Methodology and Applications PSA'95, Séoul, Novembre, KAERI, JAERI, pp. 806-811, 1995 B. ARIEN, B. TOMBUYSES, D. LAMY Exhibition of the CAMERA software : a first version. Proc. of the Int. Conf. on Probabilistic Safety Assessment Methodology and Applications PSA'95, Séoul, Novembre, KAERI, JAERI, pp. 1189-1194, 1995 J. DEVOOGHT, P.E. LABEAU Moments of the distributions in probabilistic dynamics Annals of Nuclear Energy, 22 (2), 97-108, 1995 P.E. LABEAU A method of benchmarking for two-states problems of probabilistic dynamics NSE, 119 (3), 212-217, 1995 P.E. LABEAU Improvement of probabilistic dynamics calculations by the determination of the support of the distributions.

Proc. of ESREL'95, 1, 431-444, 1995 P.E. LABEAU, J. DEVOOGHT Synthesis of multivariate distributions from their moments for probabilistic dynamics Annals of Nuclear Energy, 22 (2), 109-124, 1995 B. TOMBUYSES, B. ARIEN, N. DESSARS Reliability of an isolation command circuit : markovian analysis. Proc. de la Int. Conf. on Probabilistic Safety Assessment Methodology and Applications PSA'95, Séoul, Novembre, KAERI, JAERI, pp. 812-816, 1995 B. TOMBUYSES, J. DEVOOGHT Solving markovian systems of O.D.E. for availability and reliability calculations RESS, 48 (1), 47-55, 1995 B. TOMBUYSES, L. DINCA, T. ALDEMIR A continuous time approach to the cell-to-cell mapping technique. ANS Transactions, Vol. 73, pp. 212-214, 1995 J. DEVOOGHT The computation of time dependent event trees. Proc. of the International Topical Meeting on Probabilistic Safety Assessment PSA'96, September, Vol. III, pp. 1483-1489, 1996 J. DEVOOGHT, P.E. LABEAU, J.L. DELCOUX A transport framework for zero-variance Monte Carlo estimation of Markovian unreliability. Proc. ESREL'96, 1, 436-442, 1996 J. DEVOOGHT, C. SMIDTS Probabilistic dynamics as a tool for dynamic PSA. RESS, 52 (3), 185-196, 1996 J. DEVOOGHT, B. TOMBUYSES Aggregation methods for reliability and availability calculations. RESS, 51 (1), 23-34, 1996 J.M. IZQUIERDO, E. MELENDEZ, J. DEVOOGHT Relationships between probabilistic dynamics, dynamic event trees and classical event trees. RESS, 52(3), 197-209, 1996 P.E. LABEAU Méthodes semi-analytiques et outils de simulation en dynamique probabiliste. Thèse de doctorat, Université Libre de Bruxelles, 1996 P.E. LABEAU Improved Monte Carlo simulation of generalized unreliability in probabilistic dynamics. Proc. of ICONE-4, 3, 419-426, 1996 P.E. LABEAU Probabilistic dynamics : estimation of generalized unreliability through efficient Monte Carlo simulation. Annals of Nuclear Energy, 23(17), 1355-1369, 1996

P.E. LABEAU A Monte-Carlo estimation of the marginal distributions in a problem of probabilistic dynamics. RESS, 52(1), 65-75, 1996 P.E. LABEAU A Monte Carlo dynamic PSA study of a PWR pressurizer. Proc. of PSA '96, 3, 1490-1496, 1996 P.E.LABEAU Towards efficient Monte Carlo dynamic PSA of large systems. in Annual report of the ESRA Technical Committee on Monte Carlo Simulation, 8-13, 1996 B. TOMBUYSES, T. ALDEMIR Continuous cell-to-cell mapping and dynamic PSA. Proc. of ICONE-4, New Orleans (USA), Rao A.S., Duffey R.B. and Elias D., eds., 3, 431-438, 1996 B. TOMBUYSES, T. ALDEMIR Dynamic PSA of process control systems via continuous cell-to-cell mapping. Proc. of Esrel'96 and PSAM III, Crète, 24-28 juin, , pp. 1541-1546, 1996 B. TOMBUYSES, B. ARIEN Reliability analysis of a ventilation system with the sc camera software. Proc. of Esrel'96 & PSAM III, Crète, 24-28 juin, , pp. 1235-1240, 1996 N. DESSARS, J. DEVOOGHT Role of time delays in event trees Advances in Safety and Reliability - Proceedings Esrel'97, Lisbon (Portugal), Guedes Soares C. ed., Vol. 3, 2105-2112, 1997 J. DEVOOGHT Dynamic reliability. Advances in Nuclear Science and Technology, 25, 215-278, 1997 P.E. LABEAU Variance reduction techniques in Monte Carlo simulation applied to dynamic reliability. Proc. of Esrel'97, 3, 2129-2137, 1997 P.E. LABEAU Monte Carlo estimation of generalized unreliability in probabilistic dynamics. I. Application to a PWR pressurizer. NSE, 126(2), 131-145, 1997 P.E. LABEAU Time-dependent considerations and Monte Carlo simulation in risk analysis. Proc. of the Topical Day on Safety Studies 97, 3.1-3.8, 1997 P.E. LABEAU, Z. OULD AMAR Monte Carlo estimation of generalized unreliability in probabilistic dynamics. II. Handling uncertainties in parameters. NSE, 126(2), 146-157, 1997 B. TOMBUYSES, T. ALDEMIR Computational efficiency of the continuous cell-to-cell mapping technique as a function of integration schemes.

RESS, 58, 215-223, 1997 B. TOMBUYSES, T. ALDEMIR Continuous cell-to-cell mapping. Journal of Sound and Vibration, 202(3), 395-415, 1997 B. ARIEN, B. TOMBUYSES An application of the probabilistic dynamics : modelling of a hydropneumatic pressurising system. Proc. of PSAM 4, New York (USA), Mosleh A. and Bari R.A., eds., Springer Verlag, Berlin, 4, 2462-2467, 1998 J.L. DELCOUX, P.E. LABEAU, J. DEVOOGHT Approximate zero-variance Monte Carlo estimation of Markovian unreliability. Annals of Nuclear Energy, 25:4-5, 259-283, 1998 N. DESSARS, J. DEVOOGHT Uncertainty analysis of a dynamical transient with elliptically distributed parameters. Proc. PSAM IV, New York (USA), Mosleh A. and Bari R.A., eds., Springer Verlag, Berlin, Vol. 1, 181-186, 1998 J. DEVOOGHT Model uncertainty and model inaccuracy. RESS, 59 (2), 171-185, 1998 J. DEVOOGHT Uncertainty analysis in dynamic reliability. Proc. PSAM IV, New York (USA), Mosleh A. and Bari R.A., eds., Springer Verlag, Berlin, Vol. 4, 2263-2268, 1998 P.E. LABEAU A survey on Monte Carlo estimation of small failure risks in dynamic reliability. AEU - Intern. Journal of Electronics and Communication, 52:3, 205-211, 1998 P.E. LABEAU Multicomponent systems with time-dependent transition rates. A note on the representation and number of system states. Annals of Nuclear Energy, 25:10, 765-769, 1998 P.E. LABEAU Monte Carlo treatment of uncertainties in dynamic reliability problems. Proc. PSAM 4, New York (USA), Mosleh A. and Bari R.A., eds., Springer Verlag, Berlin, Vol. 4, 2269-2274, 1998 P.E. LABEAU, E. ZIO The cell-to-boundary method in the frame of memorization-based Monte Carlo algorithms. A new computational improvement in dynamic reliability. Mathematics and Computers in Simulation, 47, 347-360, 1998 S. MARCHAND, B. TOMBUYSES, P.E. LABEAU DDET and Monte Carlo simulation to solve some dynamic reliability problems. Proc. PSAM 4, New York (USA), Mosleh A. and Bari R.A., eds., Springer Verlag, Berlin, Vol. 3, 2055-2060, 1998 M. MARSEGUERRA, E. ZIO, J. DEVOOGHT, P.E. LABEAU A concept paper on dynamic reliability via Monte Carlo simulation.

Mathematics and Computers in Simulation, 47, 371-382, 1998 B. TOMBUYSES Reduction of the Markovian system by the influence graph method : Error bound and reliability computation. RESS, 63, 1-11, 1998 B. TOMBUYSES, P.R. DE LUCA, C. SMIDTS Backward Monte Carlo for probabilistic dynamics. Mathematics and Computers in Simulation, 47, 493-505, 1998 B. TOMBUYSES, Y. DUTUIT Safety study of a control system, comparing Markovian, fault tree and Petri nets analysis. Proc. Esrel'98, Safety and Reliability, Trondheim (Norway), Lydersen S., Hansen G.K. and Sandtorv H.A., eds., Vol. 1, 333-338, 1998 F. BOURGEOIS, P.E. LABEAU Stochastic programming in dynamic reliability. Proc. of Esrel'99, Safety and Reliability, G.I. Schuëller and P. Kafka (Eds.), A.A. Balkema Publishers, Rotterdam, Vol.2, 913-919, Munich (Germany), 1999 P.E. LABEAU, J. DEVOOGHT Optimization problems in dynamic reliability. Proc. of M&C'99, International Conference on Mathematics and Computation, Reactor Physics and Environmental Analysis in Nuclear Applications, J.M. Aragonés (Ed.), Senda Editorial, Madrid, Vol. 2, 1319-1329, Madrid (Spain), 1999 P.E. LABEAU, J.D. LEWINS On the feasibility of variationally processed calculations in dynamic reliability. Proc. of Esrel'99, Safety and Reliability, G.I. Schuëller and P. Kafka (Eds.), A.A. Balkema Publishers, Rotterdam, Vol.2, 987-992, Munich (Germany), 1999 B. TOMBUYSES Reduction of the Markovian system by the influence graph method : error bound and reliability computation. RESS, 63, 1-11, 1999 B. TOMBUYSES Automatic construction of Markov transition matrices under state and functional dependences. RESS, 64, 49-58, 1999 J. DEVOOGHT, P.E. LABEAU Theoretical basis of dynamic reliability problems. in "Dynamic Reliability : Future Directions", Proc. Of the 4th Workshop on Dynamic Reliability, pp. 11-42, C. Smidts, J. Devooght, P.E. Labeau (Eds.), International Workshop Series on Advanced Topics in Reliability and Risk Analysis, Center for Reliability Engineering, University of Maryland, College Park, 2000 I. HENDRICKX, P.E. LABEAU Partially unbiased estimators for unavailability calculations. Proc. of Esrel'2000, Foresight and Precaution, M.P. Cottam, D.W. Harvey, R.P.Pape and J. Tait (Eds.), A.A. Balkema Publishers, Rotterdam, Vol. 2, 1619-1624, Edinburgh (UK), 2000

P.E. LABEAU Partially unbiased estimators for unreliability and unavailability calculations. Progress in Nuclear Energy, 36, 131-187, 2000 P.E. LABEAU A variational principle in probabilistic dynamics. Annals of Nuclear Energy, 27:17, 1543-1575, 2000 P.E. LABEAU, C. SMIDTS, S. SWAMINATHAN (Eds) Dynamic reliability : Towards an integrated platform for probabilistic risk assessment. RESS, 68:3, 219-254, 2000 P.E. LABEAU, E. ZIO The mathematics of component-based and system-based Monte Carlo sampling in realistic system engineering. Proc. of MMR2000, Second International Conference on Mathematical Methods in Reliability, Vol. 2, 667-670, Bordeaux (France), 2000 C. SMIDTS, J. DEVOOGHT, P.E. LABEAU Dynamic Reliability : Future Directions Proc. of the 4th Workshop on Dynamic Reliability, International Workshop Series on Advanced Topics in Reliability and Risk Analysis, Center for Reliability Engineering, University of Maryland, College Park, 2000 F. BOURGEOIS, P.E. LABEAU Stochastic quasi-gradient-based optimization algorithms for dynamic reliability applications. RESS, 71, 65-79, 2001 P.E. LABEAU Monte Carlo simulation for dynamic reliability problems with distributed safety borders. Proc. of Esrel=2001, Towards a Safer World, E. Zio, M. Demichela and N. Piccinini (Eds.), Vol. 2, 1395-1402, 2001 P.E. LABEAU, E. ZIO Biasing schemes in component-based and system-based Monte Carlo algorithms in system engineering. Proc. of Esrel=2001, Towards a Safer World, E. Zio, M. Demichela and N. Piccinini (Eds.), Vol. 2, 903-910, 2001 C. KERMISCH, P.E. LABEAU Approche dynamique de la fiabilité des systèmes. I. Etablisement de l’art en fiabilité dynamique. II. Choix de méthodes d’analyse. III. Illustration de la mise en oeuvre de la méthode retenue. Rapport de la tâche I (Mars 2002), II (Juillet 2002) et III (Novembre 2002) du Projet IsdF 6/2000. P.E. LABEAU Development and application of new assessment methods to estimate the frequency of repeated laminar combustion and overpressure events in the Ascó and Trillo Nuclear Power Plants. 1. Model development. 2. Calculation of the frequency of overpressure failure mode.

Scientech-CSN reports, Décembre 2002. P.E. LABEAU, E. ZIO Procedures of Monte Carlo transport simulation for applications in system engineering. RESS, 77, 217-228, 2002 O. WANTZ, P.E. LABEAU Delays and uncertainties in the delineation of accident sequences. An illustrative dynamic reliability test-case. Proc. of MMR’2002, H. Langseth and B. Lindqvist (Eds.), pp. 655-658, Trondheim (Norway), 2002 C. KERMISCH, P.E. LABEAU Comparison of data representation tools for the analysis of complex time-dependent systems. Proc. of Esrel’2003, Safety and Reliability, T. Bedford and P.H.A.J.M. van Gelder (Eds.), A.A. Balkema Publishers, Lisse, Vol. 1, pp. 889-895, Maastricht (The Netherlands), June 2003. S. MERCIER, P.E. LABEAU Optimal scheduling for the replacement policy of components subject to technological obsolescence. Proc. of Qualita 2003, Institut de Sûreté Industrielle de Nancy (ed.), pp. 170-178, Nancy (France), Mars 2003 O. FOUATHIA, J.C. MAUN, P.E. LABEAU, D. WIOT The MicMaq project : Minimum cost – Maximum quality for the maintenance optimization of the Belgian power system. Proc. of ESREL2004/PSAM 7, Probabilistic Safety Assessment and Management, C. Spitzer, U. Schmocker and V.N. Dang (Eds.), Springer, Vol. 6, pp. 3110-3114, Berlin (Deutschland), June 2004. J.M. IZQUIERDO, P.E. LABEAU The stimulus-driven theory of probabilistic dynamics as a framework for probabilistic safety assessment. Proc. of PSAM 7, Probabilistic Safety Assessment and Management, C. Spitzer, U. Schmocker and V.N. Dang (Eds.), Springer, Vol. 2, pp. 687-693, Berlin (Deutschland), June 2004. C. KERMISCH, P.E. LABEAU, E. LARDEUX, J.L. CHABOT Implementation of hybrid Petri nets – Lessons learned from their application to a SMR unit. Proc. of PSAM 7, Probabilistic Safety Assessment and Management, C. Spitzer, U. Schmocker and V.N. Dang (Eds.), Springer, Vol. 2, pp. 681-686, Berlin (Deutschland), June 2004. O. MICHEL, P.E. LABEAU, S. MERCIER Monte Carlo optimization of the replacement strategy of components subject to technological obsolescence. Proc. of PSAM 7, Probabilistic Safety Assessment and Management, C. Spitzer, U. Schmocker and V.N. Dang (Eds.), Springer, Vol. 6, pp. 3098-3103, Berlin (Deutschland), June 2004. S. MERCIER, P.E. LABEAU Optimal replacement policy of components subject to technological obsolescence in a series system. Applied Stochastic Models in Business and Industry, 20, 73-91 (2004)

O. FOUATHIA, J.C. MAUN, P.E. LABEAU, D. WIOT Stochastic approach using Petri nets for maintenance optimization in Belgian power systems. Proc. of PMAPS2004, Ioawa State University (USA), Vol. 6, 3110-3115 A. PEETERS, P.E. LABEAU Cell-to-cell mapping applied to the stimulus-driven theory of probabilistic dynamics. A pressurization test-case. Proc.of ?µ14, Bourges (France), Octobre 2004, Vol.1, 59-64 P.E. LABEAU, Y. DUTUIT Fiabilité dynamique et disponibilité de production: un cas illustratif. Proc. of ?µ14, Bourges (France), Octobre 2004, Vol.2, 431-436 L. MADDENS, P.E. LABEAU Modeling of the maintenance policy of an offshore wind farm. Proc. of ?µ14, Bourges (France), Octobre 2004, Vol.3, 669-674 P.E. LABEAU, J.M. IZQUIERDO The stimulus-driven theory of Petri nets. Proc.of QUALITA2005, Bordeaux (France), Mars 2005, Vol.1, 237-244. P.E. LABEAU, J.M. IZQUIERDO Modeling PSA problems. I. The stimulus-driven theory of probabilistic dynamics (SDTPD). Nucl. Sci. Eng., sous presse (Juin 2005). P.E. LABEAU, J.M. IZQUIERDO Modeling PSA problems. II. A cell-to-cell transport theory approach. Nucl. Sci. Eng., sous presse (Juin 2005). O. FOUATHIA, J.C. MAUN, P.E. LABEAU, D. WIOT Cost-Optimization model for the planning of the renewal, inspection, and maintenance of substation facilities in Belgian power transmission system. To appear in the Proceedings of Esrel’2005 O. FOUATHIA, J.C. MAUN, P.E. LABEAU, D. WIOT Petri net-based Monte Carlo simulation for modeling and analyzing the reliability of distribution substation facilities in Belgian power systems. To appear in the Proceedings of CIRED2005

TRANSPORT NEUTRONIQUE R. BEAUWENS, J. DEVOOGHT, E. MUND, R. RYDIN, M.R. WAGNER 3D multigroup transport kinetics code in hexagonal geometry for fast reactor transient analysis. Proc. of International Conference on the Physics of Reactors : Operation, Design and Computation, Marseille, pp. XII.11-XII.20, 1990 J. DEVOOGHT New elementary solutions of the monoenergetic Boltzmann equation. Transport Theory and Statistical Physics, Vol. 20, Nos 5 & 6, 383-411, 1991 E. MUND, B.D. GANAPOL A slowing down benchmark with anisotropic scattering. Transactions of the ANS, 64, 28-29, 1991 E. MUND, J. DEVOOGHT Response matrix methods for neutron transport in reactor lattices using group symmetry properties. Proc. of the 10th International Conference on Computing Methods in Applied Sciences and Engineering, INRIA, Paris, 11-14 février, pp. 659-668, 1992 E. MUND, B.D. GANAPOL Time-dependent slowing down in an infinite medium with anisotropic scattering in the center of mass. Transactions of the ANS, 68, 224-226, 1993 A. VAN-de-VELDE, R. BEAUWENS An efficient and accurate 1-D transport solution method for implementation in multidimensional nodal neutronics codes. 13th International Conference on Transport Theory, Riccione, Italy, 1993 X. HUANG Méthodes de décomposition de l'espace des phases en cellules finies. Thèse de doctorat, Université Libre de Bruxelles, 1994 J. DEVOOGHT Linear transport in correlated stochastic media. Proc. of the International Conference on Mathematics and Computations, Reactor Physics, and Environmental Analyses, Portland, 30 avril-4 mai, Vol. 1, 555-563, 1995 J.P. HENNART, E.M. MALAMBU, E.H. MUND, E. del VALLE A comparison of various nodal finite element formulations for neutron multigroup diffusion equations. Proc. of the International Conference on Mathematics and Computations, Reactor Physics, and Environmental Analyses, Portland, Vol. 2, 1388-1399, 1995 X. HUANG, E. MUND A nonconforming space-angle finite element approximation for neutron transport in reactor lattices. Proc. of the International Conference on Mathematics and Computations, Reactor Physics, and Environmental Analyses, Portland, Vol. 1, 763-772, 1995 A. VAN-de-VELDE A multidimensional boundary sources method.

Thèse de doctorat, Université Libre de Bruxelles, 1995 A. VAN-de-VELDE, R. BEAUWENS Higher order hexagonal-z nodal transport response matrix. Proc. of EDF-DER Topical Meeting on Numerical Methods for Reactor Computation, Clamart, 17-18 janvier, HI-72/95/028/0, pp. II-31-II-46, 1995 A. VAN-de-VELDE, R. BEAUWENS A higher order hexagonal-z nodal transport method. Transport Theory and Statistical Physics, 24, 133-154, 1995 J. DEVOOGHT Linear transport in correlated stochastic media. NSE, 124, 1-18, 1996 J. DEVOOGHT, X. HUANG, E.H. MUND A nonconforming finite element approximation of the transport equation in quadrangular and hexagonal geometries. Annals of Nuclear Energy, 23 (4/5), 285-300, 1996 J.P. HENNART, E.M. MALAMBU, E.H. MUND, E. del VALLE Efficient higher order nodal finite element formulations for neutron multigroup diffusion equations. NSE, 124, 97-110, 1996 E.M. MALAMBU, E.H. MUND A self-consistent nodal method in response matrix formalism for the multigroup diffusion equations Ann. Nucl. Energy, 23 (2), 99-118, 1996 E. MALAMBU, E.H. MUND An efficient 3D nodal response matrix code with applications to reactor core analysis Proc. of the Symposium on Modelling, Analysis and Simulation, CESA'96, IMACS Multiconference, Lille, 2, 1233-1237, 1996 E. MALAMBU, E.H. MUND An efficient 3D multigroup diffusion nodal algorithm for reactor core analysis Proc. of the International Conference on the Physics of Reactors PHYSOR96, Mito (Japan), A, A-41-A-49, 1996 J.P. HENNART, E.H. MUND, E. del VALLE A composite nodal finite element for hexagons. NSE, 127, 139-153, 1997 J.P. HENNART, E.H. MUND, E. del VALLE Transverse Integration on Composite Nodal Finite Elements for Hexagons. Proc. of the Joint International Conference on Mathematical Methods and Supercomputing for Nuclear Applications, Saratoga Springs, Vol. 1, 93-102, 1997 R. BEAUWENS Inclusion of an external source in Hexnodyn-2. Final report of Contract No. 14497 1998 11 F1EI ISP B, 1999 E.H. MUND, E. del VALLE, J.P. HENNART An Unconventional Nodal Element for Diffusion Calculations.

Proc. of M&C’99, International Conference on Mathematics and Computation, Reactor Physics and Environmental Analysis in Nuclear Applications, J.M. Aragonés (Ed.), Senda Editorial, Madrid, Vol. 1, 848-857, Madrid (Spain), September 1999 R. BEAUWENS, E. MUND Generalized quasistatic transport solution of problems with external neutron sources. PHYSOR 2000 (2000 ANS Intern. Topical Meeting on Advances in Reactor Physics and Mathematics and Computation into the Next Millenium, Pittsburg, PA, May 7-11), Session V.C., 1-11, 2000 E. del VALLE, E.H. MUND RTk/S_N Solutions of the 2D Multigroup Transport Equations in Hexagonal Geometry. Proc. of the ANS International Topical Meeting on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing (PHYSOR 2002), Seoul, 3A-04, 1-10, 2002 B.D. GANAPOL, E.H. MUND, P. RAVETTO, M.M. ROSTAGNO Multigroup Diffusion Kinetics Benchmark of an ADS System in Slab Geometry. Proc. of the ANS International Topical Meeting on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing (PHYSOR 2002), Seoul, 7B-03, 1-23, 2002 E. del VALLE, E.H. MUND RTk/S_N Solutions of the 2D Multigroup Transport Equations in Hexagonal Geometry. NSE, 148, 172-185, 2004

ALGEBRE LINEAIRE/ANALYSE NUMERIQUE R. BEAUWENS Modified incomplete factorization strategies. in Preconditioned Conjugate Gradient Methods, Lectures Notes in Mathematics, Springer-Verlag, No. 1457, pp. 1-16, 1990 Y. NOTAY Solving positive (semi)definite linear systems by preconditioned iterative methods. in Preconditioned Conjugate Gradient Methods (O. Axelsson and L.Yu Kolotilina editors), Lecture Notes in Mathematics, Springer-Verlag, No. 1457, pp. 105-125, 1990 R. BEAUWENS Ordered graphs and numerical algebra. Tagungsbericht 18/1991, Mathematisches Forschungsinstitute Oberwolfach, p. 3, 1991 M.M. MAGOLU Conditioning analysis of sparse block approximate factorizations. Appl. Num. Math., 8, 25-42, 1991 M.M. MAGOLU, Y. NOTAY On the conditioning analysis of block approximate factorization methods. Lin. Alg. Appl., 154-156, 583-599, 1991 Y. NOTAY Conditioning analysis of modified block incomplete factorizations. Lin. Alg. Appl. , 154-156, 711-722, 1991 Y. NOTAY Résolution itérative de systèmes linéaires par factorisations approchées. Thèse de doctorat, ULB, 1991 R. BEAUWENS, P. de GROEN Iterative methods in linear algebra. North Holland, Amsterdam, 1992 M.M. MAGOLU Lower eigenvalue bounds for singular pencils of matrices. J. Comput. Appl. Math., 39, 329-351, 1992 M.M. MAGOLU Sparse block approximate factorizations for singular problems. Iterative Methods in Linear Algebra (R. Beauwens and P. de Groen, eds), North Holland, Amsterdam, 519-529, 1992 M.M. MAGOLU Modified block-approximate factorization strategies. Numer. Math., 61, 91-110, 1992 M.M. MAGOLU Sparse approximate block factorizations for solving symmetric positive (semi)definite linear systems. Thèse de doctorat, ULB, 1992

Y. NOTAY On the robustness of modified incomplete factorization methods. Inter. J. Comput. Math., 40, 121-141, 1992 Y. NOTAY Upper eigenvalue bounds and related modified incomplete factorization strategies. Iterative Methods in Linear Algebra (R. Beauwens and P. de Groen, editors), North-Holland, Amsterdam, pp. 551-562, 1992 Y. NOTAY Conditioning of Stieltjes matrices by S/P consistently ordered approximate factorizations. Appl. Numer. Math., 10, 381-396, 1992 R. BEAUWENS Incomplete factorizations with S/P and modified S/P consistently ordered factors. in Incomplete Decompositions (ILU) - Algorithms, Theory and Applications (W. Hackbusch and G. Wittum, eds), Notes on Numerical Fluid Mechanics, Vol. 41, pp. 22-31, 1993 N. GUESSOUS Résolution d'équations aux dérivées partielles de type elliptique par méthodes nodales. Thèse de doctorat, Université Libre de Bruxelles, 1993 M.M. MAGOLU Empirically modified block incomplete factorizations. in Incomplete Decomposition (ILU) - Algorithms, Theory and Applications (W. Hackbush and G. Wittum, eds.), Notes on Numerical Fluid Mechanics, Vol. 41, pp. 78-87, 1993 M.M. MAGOLU Analytical bounds for block approximate factorization methods. Lin. Alg. Appl., 179, 33-57, 1993 Y. NOTAY On the convergence rate of the conjugate gradients in presence of rounding errors. Num. Math., 65, 301-317, 1993 Y. NOTAY A new incomplete factorization method. in Incomplete Decomposition (ILU) - Algorithms, Theory and Applications (W. Hackbusch and G. Wittum, eds.), Notes on Numerical Fluids Mechanics, Vol. 41, pp. 103-112, 1993 P. SAINT-GEORGES, G. WARZEE, Y. NOTAY, R. BEAUWENS Development of an efficient iterative solver for linear systems in FE structural analysis. Structural Mechanics in Reactor Technology, Vol. B : Computational Mechanics, 201-206, 1993 R. BEAUWENS Dynamic factorization algorithms.

in Numerical Algebra (Er. Jiang, ed.), 40-47, 1994 R. BEAUWENS The algebraic analysis of incomplete factorization preconditionings. Proc. of the Second International Colloquium on Numerical Analysis (D. Bainov and V. Covachev, eds), VPS, Utrecht, 25-34, 1994 R. BEAUWENS Beyond Axelsson's perturbations. Communication, Mini-Symposium dedicated to O. Axelsson for this 60th birthday, Nijmegen, March 24, 1994 R. BEAUWENS Approximate factorizations with modified S/P consistently ordered M-factors. J. Num. Lin. Alg. with Appl., 1, 3-17, 1994 R. BEAUWENS MILU factorizations with nonstandard orderings. Communication, HERMIS'94, Athens, September 21-24, 1994 R. BEAUWENS Final report on the development of HEXNODYN-2. Final report of Contract NΕ 4137-90 ED ISP B, 1994 R. BEAUWENS, L. DUJACQUIER, S. HITIMANA, M.M. MAGOLU MILU factorizations for 2-processor orderings. in Advances in Numerical Methods and Applications (I. Dimov, Bl. Sendov and P. Vassilevski, eds.), pp. 26-34, 1994 R. BEAUWENS, E. ISSMAN, B. TOMBUYSES A new device for improving preconditioning by approximate factorizations. 14th IMACS World Congress on Computational and Applied Mathematics, Atlanta, pp. 1106-1108, 1994 R. BEAUWENS, Y. NOTAY, B. TOMBUYSES S/P images of upper triangular M-matrices. J. Num. Lin. Alg. with Appl., 1, 19-31, 1994 R. BEAUWENS, B. TOMBUYSES Graph perturbations. Appl. Num. Math., 16, 251-264, 1994 Y. NOTAY DRIC : a Dynamic Version of the RIC method. J. Num. Lin. Alg. with Appl., 1, 511-532, 1994 P. SAINT-GEORGES, G. WARZEE, Y. NOTAY, R. BEAUWENS On the choice of an iterative solver for FEM structural analyses. Actes du 3ème Congrès national belge de mécanique théorique et appliquée (M. Hogge et E. Dick, Eds), pp. 352-355, 1994 P. SAINT-GEORGES, G. WARZEE, R. BEAUWENS, Y. NOTAY Robust and efficient iterative solvers of linear systems for FEM analyses. Proc. of the XXIIIth International FEM Congress in Baden-Baden, (G. Boehmler, ed.), IKOSS, Stuttgart, pp. 179-188, 1994 R. BEAUWENS Final report on the development of HEXNODYN-2A. Final report of Contract NΕ 10666 94 12 F1EI ISP B, 1995

S. BOUSRI A parallel nodal method for second order. Future Generation Computing Systems, 11, 153-160, 1995 M.M. MAGOLU Ordering strategies for modified block incomplete factorizations. SIAM J. Sci. Comput., 16, 378-399, 1995 M.M. MAGOLU Implementation of parallel block preconditionings on a transputer-based multiprocessor. Future Generation Computer Systems, 11, 167-173, 1995 Y. NOTAY An efficient parallel discrete PDE solver. Parallel Computing, 21, 1725-1748, 1995 Y. NOTAY, Z. OULD AMAR Incomplete factorization preconditioning may lead to multigrid like speed of convergence. In Advanced Mathematics : Computation and Applications (A.S. Alekseev and N.S. Bakhvalov eds), Novosibirsk, Russia, NCC Publisher, 435-446, 1995 Z. OULD-AMAR Parallélisation d'algorithmes de factorisation approchée sur CM-5 Actes des 7èmes Rencontres Francophones du Parallélisme, (Dekeyser, Libert et Manneback eds.), Mons, Belgique, 30 mai-2 juin, pp. 104-107, 1995 Y. NOTAY An efficient algebraic multilevel iteration preconditioner robust with respect to anisotropies. in Algebraic Multilevel Iteration Methods with Applications (O. Axelsson and B. Polman, eds.), University of Nijmegen, pp. 111-128, 1996 Y. NOTAY, A. VAN-de-VELDE Coarse grid acceleration of parallel incomplete factorization preconditioners. in Iterative Methods in Linear Algebra II (S. Margenov and P. Vassilevski eds.), IMACS Series in Computational and Applied Mathematics, 3, 106-130, 1996 Z. OULD-AMAR A parallel solver for 3D-PDEs on SIMD computers. in Iterative Methods in Linear Algebra II (S. Margenov and P. Vassilevski eds.), IMACS series in computational and applied mathematics, 140-155, 1996 Z. OULD-AMAR Factorisations incomplètes sur architectures massivement parallèles. Thèse de doctorat, Université Libre de Bruxelles, 1996 P. SAINT-GEORGES, R. BEAUWENS, G. WARZEE, Y. NOTAY High performance PCG solvers for FE structural analyses. Int. Journ. Num. Meth. Eng., 39, 1313-1340, 1996 P. SAINT-GEORGES, G. WARZEE, Y. NOTAY, R. BEAUWENS Fast iterative solvers for finite element analysis in general and shell analysis in particular. in Advances in Finite Element Technology (B. Topping, ed.), Civil-Com Press, pp. 273-282, 1996

R. BEAUWENS, P. SAINT-GEORGES, R. VALKENBERG, T. SZULC On the existence of Jennings-Malik relaxed incomplete factorizations. Proc. of the 15th IMACS World Congress, Berlin, 24-29 août, 1997 E.F.F. BOTTA, K. DEKKER, Y. NOTAY, AN van der PLOEG, C. VUIK, F.W. WUBS, P.M de ZEEUW How fast the Laplace equation was solved in 1995. Appl. Numer. Math., 24, 439-455, 1997 Y. NOTAY, Z. OULD-AMAR A nearly optimal preconditioning based on recursive red-black orderings. Num. Lin. Alg. with Appl., 4(5), 369-391, 1997 R. VALKENBERG, G. WARZEE, P. SAINT-GEORGES, R. BEAUWENS, Y. NOTAY Parallel iterative solution of 3D elasticity equations. Geomechanics 96 (Z. Rakowsiki, ed.) A.A. Balkema, Rotterdam, , pp. 147-152, 1997 R. BEAUWENS Block MILU preconditioning. Iterative Methods in Scientific Computations, J. Wang and M.B. Allen, eds. IMACS Series in Computational and Applied Mathematics, Vol. 4 IMACS, 339-349, 1998 Y. NOTAY Using approximate inverses in algebraic multilevel methods. Numer. Math., 80, 397-417, 1998 Y. NOTAY Optimal V cycle algebraic multilevel preconditioning. Num. Lin.Alg. with Appl., 5, 441-459, 1998 P. SAINT-GEORGES, Y. NOTAY, G. WARZEE Efficient iterative solution of constrained finite element analyses. Comput. Mth. Appl. Mech. Eng., 160, 101-114, 1998 R. BEAUWENS Implementation strategies for block recursive factorizations. Math. Comp. Sim., 50, 31-41, 1999 R. BEAUWENS OBV factorizations. in Lecture Notes of IMAMM 99, S. Mika and M. Brandner, eds., University of West Bohemia, Pilsen, , pp. 57-84, 1999 R. BEAUWENS Symbolic incomplete factorization. Special Issue of Num. Lin. Alg. Appl., 1999 Y. NOTAY A multilevel block incomplete factorization preconditioning. Appl. Num. Math., 31, 209-225, 1999 P. SAINT-GEORGES, G. WARZEE, Y. NOTAY, R. BEAUWENS Problem-dependent preconditioners for iterative solvers in FE elastostatics. Computers and Structures, 73, 33-43, 1999

M.M. MAGOLU, R. BEAUWENS Imaginary diagonal relaxations for highly indefinite linear systems. Proc. of 16th IMACS World Congress 2000 on Scientific Computation, Applied Mathematics and Simulation, EPFL, pp. 107.3/1-6, Lausanne (Switzerland), 2000 M.M. MAGOLU, R. BEAUWENS, G. WARZEE Preconditioning of discrete Helmholtz operators perturbed by a diagonal complex matrix. Commun. Numer. Meth. Engng, 16, 801-817, 2000 M.M. MAGOLU, Y. NOTAY Dynamically relaxed block incomplete factorizations for solving two- and three-dimensional problems. SIAM J. Sci. Comp., 21, 2008-2028, 2000 Y. NOTAY Optimal order preconditioning of finite difference matrices. SIAM J. Sc. Comp., 21, 1991-2007, 2000 Y. NOTAY A robust algebraic preconditioner for finite difference approximations of convection-diffusion equations. Num. Lin. Alg. Appl., 7, 243-267, 2000 Y. NOTAY On algebraic multilevel preconditioning. in "Numerical Challenges in Lattice Quantum Chromodynamics", (A. Frommer, T. Lippert, B. Medeke, K. Schilling, eds.), N° 15, Lectures Notes in Computational Science and Engineering, Springer-Verlag, pp. 84-98, 2000 Y. NOTAY Flexible conjugate gradient. SIAM J. Sc. Comp., 22, 1444-1460, 2000 M.M. MAGOLU, H.A. VAN DER VORST A generalized domain decomposition paradigm for parallel incomplete LU factorization preconditionings. Future Generation Computer Systems, 17, 925-932, 2001 M.M. MAGOLU, H.A. VAN DER VORST Parallel incomplete factorization with pseudo-overlapped subdomains. Parallel Computing, 27, 989-1008, 2001 R. BEAUWENS Iterative solution methods. Proc. MASCOT02, R.M. Spitaleri, ed., IAC, pp. 11-18, Rome (Italy), 2002 M.M. MAGOLU, H.A. VAN DER VORST Spectral analysis of parallel incomplete factorization with implicit pseudo-overlap. Numerical Linear Algebra with Applications, 9, 45-64, 2002 Y. NOTAY Combination of Jacobi-Davidson and conjugate gradients for the partial symmetric eigenproblem. Num. Lin. Alg. with Appl., 9, 21-44, 2002 Y. NOTAY

Robust parameter free algebraic multilevel preconditioning. Num. Lin. Alg. with Appl., 9, 409-428, 2002 Y. NOTAY Convergence analysis of inexact Rayleigh quotient iterations. SIAM J. Matrix Anal. Appl., 24, 627-644, 2003 A. TAHIRI A compact discretization method for diffusion problems with local refinement. PhD thesis, Université Libre de Bruxelles, Service de Métrologie Nucléaire, 2002 R. BEAUWENS Forgivable variational crimes. in Numerical Methods and Applications, I. Dimov, I. Lirkov, S. Margenov and Z. Zlatev (Eds.), Springer-Verlag, pp. 3-11, Borovets (Bulgaria), 2003 R. BEAUWENS Iterative solution methods. Soumis pour publication dans Applied Numerical Mathematics, 2003 A. TAHIRI The PCD method. in Numerical Methods and Applications, I. Dimov, I. Lirkov, S. Margenov and Z. Zlatev, eds., Springer-Verlag, pp. 563-571, Borovets (Bulgaria), 2003 S. VAN CRIEKINGEN, R. BEAUWENS, E.E. LEWIS Discretization methods for the diffusion equation. Soumis pur publication dans Applied Numerical Mathematics, Special Issue of the Sixth IMACS International Symposium on Iterative Methods in Scientific Computing, Denver, March 27-30, 2003, Andrew Knyazev and Jan Mandel (Guest Eds.) Y. NOTAY Is Jacobi-Davidson faster than Davidson? SIAM J. Matrix Anal. Appl., 26, 522-543, 2005

DYNAMIQUE DES REACTEURS R.B. NICHOLSON, LI ZEHUA, R. BEAUWENS Perturbation theory and scalar products in HEXNOD. Proc. of International Conference on the Physics of Reactors : Operation, Design and Computation, Marseille, pp. PII.144-PII.148, 1990 R. BEAUWENS, N. GUESSOUS, E. MUND, A. VAN-DE-VELDE Intermediate report on the development of HEXNODYN-2. Technical Report, ULB, 1992 R. BEAUWENS, E. MUND Scalar product formulas for nodal methods in hexagonal-z geometry. Annals of Nuclear Energy, 19, 607-616, 1992 B. TOMBUYSES, P. ABSIL Modelling of test- and inspection procedures; a case study; a branch of an Auxiliary Feed Water System (AFWS). Advances in Safety and Reliability, Proceedings Esrel'97, Lisbon (Portugal), Guedes Soares C., ed., Vol. 3, 1757-1764, 1997

MATHEMATIQUES APPLIQUEES/METHODES SPECTRALES M.O. DEVILLE, E.H. MUND Finite-Element Preconditioning for Pseudospectral Solutions of Elliptic Problems. SIAM J. Sci. Stat. Comput., Vol. 11 NΕ 2, 311-343, 1990 E. MUND, M. DEVILLE Fourier analysis of finite element preconditioned collocation schemes. SIAM J. Sci. Statist. Comput., 13, 596-610, 1992 E. MUND, M. DEVILLE Finite element preconditioning of collocation schemes for advection-diffusion equations. Iterative Methods in Linear Algebra (R. Beauwens and P. de Groen, eds), North Holland, Amsterdam, pp. 181-189, 1992 E. MUND, M.O. DEVILLE, V. VAN KEMENADE Preconditioned Chebyshev collocation methods and triangular finite elements. Proc. of the ICOSAHOM'92 Conference Le Corum, Montpellier (France), 1992 C.R. SCHNEIDESCH, M.O. DEVILLE, E.H. MUND Domain decomposition method coupling finite elements and preconditioned Chebyshev collocation to solve elliptic problems. Contemporary Mathematics, 157, 293-298, 1994 E. MUND Computer algebra and finite element methods in engineering. Computer Algebra in Industry 2, A.M. Cohen, L. van Gastel and S.M. Verduyn Lunel (eds), pp. 81-100, 1995 E.H. MUND A short survey on preconditioning techniques in spectral calculations. Appl. Num. Math. 33, 61-70, 2000 M.O. DEVILLE, P.F. FISCHER, E.H. MUND Higher-Order Methods for Incompressible Fluid Flow. Cambridge Monographs on Applied and Computational Mathematics, 9, Cambridge University Press, 500 p., 2002 J.P. HENNART, E.H. MUND, E. del VALLE Third Order Nodal Finite Element Methods with Transverse and Reduced Integration for Elliptic Problems. Appl. Num. Math., 46, 209-230, 2003 R. GRUBER, M. AZAIEZ, M.O. DEVILLE, and E.H. MUND High-order Approximations of the grad(div) Eigenvalue Problem. I: Primal Formulation with a Hybrid hp Method Soumis à publication dans Journal of Scientific Computing M. AZAIEZ, R. GRUBER, M.O. DEVILLE, and E.H. MUND High-order Approximations of the grad(div) Eigenvalue Problem. II: Dual Formulation with Spectral Methods Soumis à publication dans Journal of Scientific Computing M. AZAIEZ, R. GRUBER, M.O. DEVILLE, and E.H. MUND Three Approaches for the Helmholtz Decomposition of a General Vector Field

17th IMACS World Congress, Scientific Computation, Applied Mathematics and Simulation, Paris, July 2005

RISQUES LIES AU DEPOT DEFINITIF DE DECHETS HAUTEMENT RADIOACTIFS J. DEVOOGHT, O.F. SMIDTS A variational method for determining uncertain parameters and geometry in hydrogeology. Proc. of SAMO'95, Document EUR 16331 EN, pp. 149-151, 1995 J. DEVOOGHT, O.F.SMIDTS Transport of radionuclides in stochastic media I : the quasi-asymptotic approximation. Annals of Nuclear Energy, 23 (6), 499-516, 1996 O. F. SMIDTS Analyse probabiliste du risque du stockage de déchets radioactifs par la méthode des arbres d'événements continus Thèse de doctorat, Université Libre de Bruxelles, 1997 O.F. SMIDTS, J. DEVOOGHT A variational method for determining uncertain parameters and geometry in hydrogeology. RESS, 57 (1), 5-19, 1997 O.F. SMIDTS Point and surface estimations by a non-analog Monte Carlo simulation for the transport of radionuclide chains in porous media. Monte Carlo Methods and Applications, 4(4), 289-318, 1998 O.F. SMIDTS, J. DEVOOGHT Analysis of the transport of radionuclide chains in a stochastic geological medium by a biased Monte Carlo simulation. NSE, 129, 224-245, 1998 O.F. SMIDTS, J. DEVOOGHT A non analog Monte Carlo simulation of transport of radionuclides in a porous medium. Math. Comp.Simul., 47, 436-472, 1998 O.F. SMIDTS, J. DEVOOGHT Risk assessment of radioactive waste repositories : a biased Monte Carlo simulation for the transport of radionuclide chains. Proc. PSAM IV, A. Mosleh and R.A. Bari (Eds.), Springer-Verlag, Berlin, Vol. 3, pp. 1521-1526, New York (USA), September 1998 O.F. SMIDTS, J. DEVOOGHT, Y. MEYUS, I. WEMAERE, J. MARIVOET Sensitivity analysis and inverse problem for the sub-regional flow model of the Niogene aquifer. Proc. EGS Conference, Nice, Annales Geophysicae, Suppl. 2 to Vol. 16, pp. C 437, 1998 O.F. SMIDTS Tracks : An efficient particle tracking code for the migration of radionuclide chains with uncertain site characterisation. Proc. ENS TOPSEAL'99, Antwerp ( Belgium), 10-14 October 1999, Vol. 2, pp. 203-207, 1999

O.F. SMIDTS, O. ROUSSILLE Sensitivity analysis in the migration of radionuclides : Differential Monte Carlo versus Double Randomization. Math. Comput. Simul., 55, 259-270, 2001 O.F. SMIDTS Applications of an adjoint Monte Carlo method to the underground migration of radionuclides over large scales. Ann. Nucl. En., 29, 717-750, 2001

O.F. SMIDTS, O. NITZSCHE, A. ENGLERT, H. HARDELAUF, H. VEREECKEN Inverse problem for groundwater modelling : the geostatistical approach applied to velocity and pressure head measurements in the Krauthausen test-field. En préparation, 2002 O.A. KURBANMURADOV, K.K. SABELFELD, O.F. SMIDTS A Lagrangian stochastic model for the transport in statistically homogeneous porous medium. En préparation, 2002 O. WANTZ, O.F. SMIDTS, A. DUBUS, R. BEAUWENS In-package criticality scenarios development for the Belgian spent fuel repository. Proc. of the 10th International High-Level Radioactive Waste Management Conference (IHLRWM), pp. 903-909, Las Vegas, Nevada, March-April 2003 O. WANTZ, O.F. SMIDTS, A. DUBUS, R. BEAUWENS Long-term in-package spent fuel criticality calculations. To be published in the Proc. of the 9th International Conference on Environmental Remediation and Radioactive Waste Management, Oxford (England), September 2003 M.M. MAGOLU, O. SMIDTS, A. DUBUS Adjoint adaptative Monte Carlo simulation for uncertainty. Monte Carlo Methods and Appl. 10, 403-414 (2004) O. WANTZ, A. DUBUS, R. BEAUWENS Belgian supercontainer long-term criticality calculations. Proceed. Of WM’04 Conference (Waste Management), Tucson, USA, 29/2-4/3/2004

ENERGIE NUCLEAIRE ET SOCIETE J. DEVOOGHT Risk comparison. Proc. of the ENC'90 Joint Congress of ENS/ANS-Foratom, Genève, Suisse, September 23-28, pp. 135-146, 1990 J. DEVOOGHT Nuclear energy : A witch trial Belgian Nuclear Society – Service de Métrologie Nucléaire, 2000 E.H. MUND Electricité nucléaire – Rapport AMPERE Ministère des Affaires Economiques, Gouvernement Fédéral, 2000 E.H. MUND Evolution des réacteurs nucléaires. Journées d'étude SBRE "La production d'électricité dans le cadre de la libéralisation du marché et face aux contraintes environnementales", Mons, 17 janvier 2001 E.H. MUND Réflexions sur la politique nucléaire belge. Article paru dans l’Echo du 1/03/2002. E.H. MUND L’avenir de l’énergie nucléaire. Journée organisée par la Fondation Hodie Vivere sur le thème « L’énergie, un terrain renouvelé. Comment le cultiver ? » , Cahier documentaire N° 6, 2002. E.H. MUND, A. BERGER, M. GIOT Lovelock et le politiquement correct. Revue Générale Nucléaire, N°1, 2005, p.62

PHYSIQUE NUCLEAIRE ET ATOMIQUE F. HOYLER, J. JOLIE, G.G. COLVIN, H.G. BÖRNER, K. SCHRECKENBACH, P. VAN ISACKER, P. FETTWEIS, H. GÖKTÜRK, J.C. DEHAES, R.F. CASTEN, D.D.WARNER, A.M. BRUCE Spectroscopy of the Odd-Odd Nucleus 76As and its Supersymmetric Description. Nucl. Phys., A152, 189, 1990 J.P. WEBER, J.C. DEHAES, J. DEVOOGHT Calculation of the initial density matrix for He I in beam-tilted-foil experiments. Phys. Rev., A4, 307, 1992