Edit Profile Philippe, Bernard J. Compute Distance To: Compute Author ID: philippe.bernard-j Published as: Philippe, B.; Philippe, Bernard; Philippe, Bernard J. External Links: MGP · Wikidata Documents Indexed: 37 Publications since 1982, including 3 Books all top 5 Co-Authors 2 single-authored 2 Beaumont, Olivier 2 Erhel, Jocelyne 2 Kamgnia, Emmanuel 2 Lo, Sy-shin 2 Mezher, Dany 2 Saad, Yousef 2 Sadkane, Miloud 2 Sameh, Ahmed H. 2 Sidje, Roger B. 1 Bisseling, Rob H. 1 Burrage, Kevin 1 Crouzeix, Michel 1 Duff, Iain S. 1 Erra, Robert 1 Gallopoulos, Efstratios 1 Gmati, Nabil 1 Heuveline, Vincent 1 Kahou, Guy Antoine Atenekeng 1 Kontoghioghes, Erricos John 1 Mussard, Stéphane 1 Nassif, Nabil R. 1 Reichel, Lothar 1 Stewart, William J. 1 Van der Vorst, Henk Albertus 1 Vital, Brigitte all top 5 Serials 4 Applied Numerical Mathematics 3 Numerical Algorithms 1 Computer Methods in Applied Mechanics and Engineering 1 Operations Research 1 SIAM Journal on Scientific and Statistical Computing 1 SIAM Journal on Algebraic and Discrete Methods 1 Parallel Computing 1 Economics Letters 1 Comptes Rendus de l’Académie des Sciences. Série I 1 SIAM Journal on Scientific Computing 1 ETNA. Electronic Transactions on Numerical Analysis 1 Reliable Computing all top 5 Fields 21 Numerical analysis (65-XX) 4 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 26 Publications have been cited 221 times in 215 Documents Cited by ▼ Year ▼ New two-dimensional slope limiters for discontinuous Galerkin methods on arbitrary meshes. Zbl 1075.76575Hoteit, H.; Ackerer, Ph.; Mosé, R.; Erhel, J.; Philippe, B. 38 2004 The Davidson method. Zbl 0803.65042Crouzeix, M.; Philippe, B.; Sadkane, M. 38 1994 Numerical methods in Markov chain modeling. Zbl 0764.65095Philippe, Bernard; Saad, Youcef; Stewart, William J. 29 1992 A multiprocessor algorithm for the symmetric tridiagonal eigenvalue problem. Zbl 0649.65024Lo, Sy-shin; Philippe, Bernard; Sameh, Ahmed 14 1987 A parallel shooting technique for solving dissipative ODE’s. Zbl 0788.65079Chartier, P.; Philippe, B. 13 1993 Numerical reliability for mixed methods applied to flow problems in porous media. Zbl 1079.76581Hoteit, H.; Erhel, J.; Mosé, R.; Philippe, B.; Ackerer, Ph. 12 2002 The maximum principle violations of the mixed-hybrid finite-element method applied to diffusion equations. Zbl 1062.76524Hoteit, H.; Mosé, R.; Philippe, B.; Ackerer, Ph.; Erhel, J. 10 2002 On the generation of Krylov subspace bases. Zbl 1253.65049Philippe, Bernard; Reichel, Lothar 9 2012 Stability analysis and improvement of the block Gram-Schmidt algorithm. Zbl 0734.65034Jalby, W.; Philippe, B. 8 1991 On correction equations and domain decomposition for computing invariant subspaces. Zbl 1173.65320Philippe, Bernard; Saad, Yousef 6 2007 An explicit formulation of the multiplicative Schwarz preconditioner. Zbl 1134.65035Kahou, Guy Antoine Atenekeng; Kamgnia, Emmanuel; Philippe, Bernard 6 2007 An algorithm to improve nearly orthonormal sets of vectors on a vector processor. Zbl 0631.65036Philippe, Bernard 5 1987 Parallel computation of pseudospectra of large sparse matrices. Zbl 0982.68183Mezher, Dany; Philippe, Bernard 4 2002 Linear interval tolerance problem and linear programming techniques. Zbl 1003.65061Beaumont, Oliver; Philippe, Bernard 4 2001 Parallelism in matrix computations. Zbl 1341.65011Gallopoulos, Efstratios; Philippe, Bernard; Sameh, Ahmed H. 3 2016 Robustness and applicability of Markov chain Monte Carlo algorithms for eigenvalue problems. Zbl 1176.65003Dimov, I. T.; Philippe, B.; Karaivanova, A.; Weihrauch, C. 3 2008 Comments on the GMRES convergence for preconditioned systems. Zbl 1229.65063Gmati, Nabil; Philippe, Bernard 3 2008 Computation of the fundamental singular subspace of a large matrix. Zbl 0874.65028Philippe, B.; Sadkane, M. 3 1997 Parallel computation of spectral portrait of large matrices by Davidson type methods. Zbl 0920.65020Heuveline, Vincent; Philippe, Bernard; Sadkane, Miloud 2 1997 On some structured inverse eigenvalue problems. Zbl 0885.65044Erra, Robert; Philippe, Bernard 2 1997 Transient solutions of Markov processes by Krylov subspaces. Zbl 0862.60056Philippe, Bernard; Sidje, Roger B. 2 1995 Parallel implementations for solving generalized eigenvalue problems with symmetric sparse matrices. Zbl 0782.65058Philippe, Bernard; Vital, Brigitte 2 1993 AQUARELS: A problem-solving environment for numerical quality. Zbl 0800.68850Erhel, J.; Philippe, B. 2 1992 Counting eigenvalues in domains of the complex field. Zbl 1288.65050Kamgnia, Emmanuel; Philippe, Bernard 1 2013 PAT – a reliable path-following algorithm. Zbl 0995.65038Mezher, Dany; Philippe, Bernard 1 2002 Stabilité de la méthode des différentiations retrogrades à ordre et pas variables (méthode de Gear). Zbl 0483.65044Philippe, Bernard 1 1982 Parallelism in matrix computations. Zbl 1341.65011Gallopoulos, Efstratios; Philippe, Bernard; Sameh, Ahmed H. 3 2016 Counting eigenvalues in domains of the complex field. Zbl 1288.65050Kamgnia, Emmanuel; Philippe, Bernard 1 2013 On the generation of Krylov subspace bases. Zbl 1253.65049Philippe, Bernard; Reichel, Lothar 9 2012 Robustness and applicability of Markov chain Monte Carlo algorithms for eigenvalue problems. Zbl 1176.65003Dimov, I. T.; Philippe, B.; Karaivanova, A.; Weihrauch, C. 3 2008 Comments on the GMRES convergence for preconditioned systems. Zbl 1229.65063Gmati, Nabil; Philippe, Bernard 3 2008 On correction equations and domain decomposition for computing invariant subspaces. Zbl 1173.65320Philippe, Bernard; Saad, Yousef 6 2007 An explicit formulation of the multiplicative Schwarz preconditioner. Zbl 1134.65035Kahou, Guy Antoine Atenekeng; Kamgnia, Emmanuel; Philippe, Bernard 6 2007 New two-dimensional slope limiters for discontinuous Galerkin methods on arbitrary meshes. Zbl 1075.76575Hoteit, H.; Ackerer, Ph.; Mosé, R.; Erhel, J.; Philippe, B. 38 2004 Numerical reliability for mixed methods applied to flow problems in porous media. Zbl 1079.76581Hoteit, H.; Erhel, J.; Mosé, R.; Philippe, B.; Ackerer, Ph. 12 2002 The maximum principle violations of the mixed-hybrid finite-element method applied to diffusion equations. Zbl 1062.76524Hoteit, H.; Mosé, R.; Philippe, B.; Ackerer, Ph.; Erhel, J. 10 2002 Parallel computation of pseudospectra of large sparse matrices. Zbl 0982.68183Mezher, Dany; Philippe, Bernard 4 2002 PAT – a reliable path-following algorithm. Zbl 0995.65038Mezher, Dany; Philippe, Bernard 1 2002 Linear interval tolerance problem and linear programming techniques. Zbl 1003.65061Beaumont, Oliver; Philippe, Bernard 4 2001 Computation of the fundamental singular subspace of a large matrix. Zbl 0874.65028Philippe, B.; Sadkane, M. 3 1997 Parallel computation of spectral portrait of large matrices by Davidson type methods. Zbl 0920.65020Heuveline, Vincent; Philippe, Bernard; Sadkane, Miloud 2 1997 On some structured inverse eigenvalue problems. Zbl 0885.65044Erra, Robert; Philippe, Bernard 2 1997 Transient solutions of Markov processes by Krylov subspaces. Zbl 0862.60056Philippe, Bernard; Sidje, Roger B. 2 1995 The Davidson method. Zbl 0803.65042Crouzeix, M.; Philippe, B.; Sadkane, M. 38 1994 A parallel shooting technique for solving dissipative ODE’s. Zbl 0788.65079Chartier, P.; Philippe, B. 13 1993 Parallel implementations for solving generalized eigenvalue problems with symmetric sparse matrices. Zbl 0782.65058Philippe, Bernard; Vital, Brigitte 2 1993 Numerical methods in Markov chain modeling. Zbl 0764.65095Philippe, Bernard; Saad, Youcef; Stewart, William J. 29 1992 AQUARELS: A problem-solving environment for numerical quality. Zbl 0800.68850Erhel, J.; Philippe, B. 2 1992 Stability analysis and improvement of the block Gram-Schmidt algorithm. Zbl 0734.65034Jalby, W.; Philippe, B. 8 1991 A multiprocessor algorithm for the symmetric tridiagonal eigenvalue problem. Zbl 0649.65024Lo, Sy-shin; Philippe, Bernard; Sameh, Ahmed 14 1987 An algorithm to improve nearly orthonormal sets of vectors on a vector processor. Zbl 0631.65036Philippe, Bernard 5 1987 Stabilité de la méthode des différentiations retrogrades à ordre et pas variables (méthode de Gear). Zbl 0483.65044Philippe, Bernard 1 1982 all cited Publications top 5 cited Publications all top 5 Cited by 401 Authors 6 Erhel, Jocelyne 6 Philippe, Bernard J. 5 Ackerer, Philippe 5 Kuzmin, Dmitri 5 Sheng, Zhiqiang 5 Stathopoulos, Andreas 5 Yuan, Guangwei 4 Huang, Ting-Zhu 4 Reichel, Lothar 4 Saad, Yousef 4 Younes, Anis 3 Aishima, Kensuke 3 Carson, Erin Claire 3 De Sterck, Hans 3 Falgout, Robert D. 3 Gander, Martin Jakob 3 Gmati, Nabil 3 Krivodonova, Lilia 3 Li, Tien-Yien 3 Noschese, Silvia 3 Popova, Evgenija D. 3 Sadkane, Miloud 3 Sameh, Ahmed H. 3 Schroder, Jacob B. 3 Wen, Chun 3 Wu, Lingfei 2 Barlow, Jesse L. 2 Benzi, Michele 2 Björck, Åke 2 Brandts, Jan H. 2 Carpentieri, Bruno 2 Darrigrand, Eric 2 de Dreuzy, Jean-Raynald 2 Demmel, James Weldon 2 Fan, Hung-Yuan 2 Firoozabadi, Abbas 2 Gbikpi-Benissan, Guillaume 2 Ghafouri, Hamid R. 2 Giuliani, Andrew 2 Hladík, Milan 2 Hofstätter, Harald 2 Jamei, Mehdi 2 Jia, Zhongxiao 2 Kalantzis, Vassilis 2 Kaya, Doǧan 2 Kesserwani, Georges 2 Koch, Othmar 2 MacLachlan, Scott P. 2 Magoulès, Frédéric 2 Manguoglu, Murat 2 Migallón, Violeta 2 Miller, Killian 2 Moortgat, Joachim 2 Morgan, Ronald B. 2 Mose, Robert 2 Newman, David E. 2 Penadés, José 2 Pichot, Géraldine 2 Rais, Rania 2 Rivière, Beatrice M. 2 Romero, Eloy 2 Sanchez, Raul 2 Shen, Zhaoli 2 Sherif, Nagwa 2 Sidje, Roger B. 2 Stewart, William J. 2 Szyld, Daniel B. 2 Treister, Eran 2 Tsoutsanis, Panagiotis 2 Van der Vorst, Henk Albertus 2 Vohralík, Martin 2 Vömel, Christof 2 Wei, Yimin 2 Xiang, Hua 2 Xue, Fei 2 Yavneh, Irad 2 Yin, Guojian 2 Zeng, Zhonggang 1 Abdurahiman, Vakulathil 1 Acer, Seher 1 Adam, Stavros P. 1 Afanasjew, Martin 1 Aizinger, Vadym 1 Almeida, Regina C. 1 Alonso-Jordá, Pedro 1 Andrade, V. M. B. 1 Andrzejewski, Janusz 1 Aptekarev, Alexander Ivanovich 1 Aricò, Costanza 1 Arruda, Natalia C. B. 1 Astudillo, Reinaldo 1 Atif, Karim 1 Aykanat, Cevdet 1 Ballard, Grey M. 1 Bar-On, Ilan 1 Baumann, Hendrik 1 Bause, Markus 1 Beaudoin, Anthony 1 Bebiano, Natália Isabel Quadros 1 Becker, Roland ...and 301 more Authors all top 5 Cited in 63 Serials 27 Journal of Computational Physics 19 Journal of Computational and Applied Mathematics 15 SIAM Journal on Scientific Computing 12 Numerical Linear Algebra with Applications 10 Linear Algebra and its Applications 7 Computer Methods in Applied Mechanics and Engineering 6 Applied Mathematics and Computation 6 Numerische Mathematik 6 Applied Numerical Mathematics 6 Numerical Algorithms 5 Computers & Mathematics with Applications 5 Computational Geosciences 4 BIT 4 International Journal for Numerical Methods in Engineering 4 Journal of Scientific Computing 4 ETNA. Electronic Transactions on Numerical Analysis 3 International Journal for Numerical Methods in Fluids 3 Computing 3 Computers & Operations Research 3 SIAM Journal on Matrix Analysis and Applications 3 Mathematical Problems in Engineering 3 Computing and Visualization in Science 2 Computers and Fluids 2 Mathematics of Computation 2 European Journal of Operational Research 2 International Journal of Computer Mathematics 2 Communications in Numerical Methods in Engineering 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Parallel Algorithms and Applications 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Linear and Multilinear Algebra 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 ACM Transactions on Mathematical Software 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Computational Mechanics 1 Queueing Systems 1 Neural Networks 1 Annals of Operations Research 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Computational Statistics and Data Analysis 1 Advances in Engineering Software 1 Computational and Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Soft Computing 1 Mathematical Methods of Operations Research 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Applied Mathematics 1 Sādhanā 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Acta Numerica 1 Journal of Computational Acoustics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Proceedings of the Steklov Institute of Mathematics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Journal of Theoretical Biology 1 Nanoscale Systems: Mathematical Modeling, Theory and Applications 1 Mathematics all top 5 Cited in 25 Fields 181 Numerical analysis (65-XX) 38 Fluid mechanics (76-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 29 Partial differential equations (35-XX) 16 Probability theory and stochastic processes (60-XX) 13 Operations research, mathematical programming (90-XX) 9 Computer science (68-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Geophysics (86-XX) 5 Quantum theory (81-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 2 Combinatorics (05-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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