Bernard Philippe’s Publications

(Updated October 8, 2012)

(Below are listed papers in journals, book chapters and some recent revised papers of special issues published after a conference. Other publications are indicated in the general list of the SAGE publications : http://www.irisa.fr/sage/ )

 [A] Thesis

B. Philippe. Résolution numérique des équations différentielles ordinaires par deux méthodes linéaires multipas, à pas et ordre variables. - Thèse de 3ème  cycle, soutenue le 20 janvier 1983, Université de Rennes.

 

B. Philippe. Document de synthèse pour une demande d'habilitation à diriger les recherches - Université de Rennes, 26 Juin 1989.

[B] Selected publications in international journals, chapters of books or proceedings:

[82] B. Philippe. Stabilité de la méthode des différentiations rétrogrades à pas et ordre variables (méthode de Gear). C. R. Acad. Sc. Paris, Sér. I Math. 294, no. 13, pp. 435--437. Document

[87a] S. S. Lo, B. Philippe et A. Sameh. A multiprocessor algorithm for the symmetric tridiagonal eigenvalue problem. SIAM, J. Sci. Statist. Comput, (1987), no. 2, pp. S155--S165. Document

 

[87b] B. Philippe. An Algorithm to Improve Nearly Orthonormal Sets of Vectors on a Vector Processor. SIAM, J. Algebraic Discrete Methods, (1987) Vol. 8, no.3 pp. 396--403. Document

 

[91] W. Jalby et B. Philippe. Stability Analysis and Improvement of the Block Gram-Schmidt Algorithm. SIAM J.  Sci. Stat. Comput., 12 (1991) no. 5 pp. 1058--1073. Document

 

[92] B. Philippe, Y. Saad et W. Stewart. Numerical Methods in Markov Chain Modelling. Operations Research, Vol. 40, No. 6, 1992. Preprint

 

[93a] P. Chartier et B. Philippe. A Parallel Shooting Technique for Solving Dissipative ODE's , Part 1: Theoretical Analysis ; Part 2 : Numerical Implementation. Computing 51 (1993) no. 3-4, pp. 209-236. Document

 

[93b] B. Philippe et B. Vital. Parallel Implementations for Solving Generalized Eigenvalue Problems with Sparse Matrices. Appl. Numer. Math. 12 (1993) no. 5, pp. 391--402.

 

[94] M. Crouzeix, B. Philippe et M. Sadkane. The Davidson Method. SIAM J. Sci. Comput. 15 (1994) no. 1, pp. 62--76. Document

 

[94b]R. B. Sidje et B. Philippe. Parallel Krylov Subspaces Basis Computation. Proc. CARI'94, Ed. J. Tankoano, ORSTOM Editions, (1994) pp. 421--440. Document

 

[97a] J-C. Bajard, O. Beaumont, J-M. Chesneaux, M. Daumas, J; Erhel, D. Michelucci, J-M. Muller, B. Philippe, N. Revol, J-L. Roch et J. Vignes. Qualité des Calculs sur Ordinateurs. (with Beaumont and Erhel : Chapiter Arithmétique d’intervalles), Masson, 1997.

 

[97b] R. Erra et B. Philippe. On some structured inverse eigenvalue problems. Numer. Algorithms, 15 (1997), no. 1, pp. 15--35. Preprint

 

[97c] V. Heuveline, B. Philippe et M. Sadkane. Parallel computation of spectral portrait of large matrices by Davidson type methods. Numer. Algorithms, 16 (1997) no. 1, pp. 55-75.

 

[97d] B. Philippe et M. Sadkane. Computation of the fundamental singular subspace of a large matrix.

Linear Algebra Appl. 257 (1997), pp. 77-104. Preprint

 

[99a] H. Hoteit, R. Sauleau, B. Philippe, P. Coquet et J.P. Daniel. Vector and parallel implementations for the FDTD analysis of millimeter wave planar antennas. International Journal of High Speed Computing, 10(1999), no. 2, pp. 209--234.

 

[99b] C. Tadonki, B. Philippe. Parallel multiplication of a vector by a Kronecker product of matrices (part I). Parallel and Distributed Computing Practices, 2 (1999), no. 4, pp. 53-67. Preprint

 

[00a]O. Beaumont, J. Erhel, B. Philippe, chap. : Aquarels : a problem-solving environment for validating scientific software in Enabling technologies for computational science, Kluwer Academic Publishers, Boston, 2000.

 

[00b] B. Philippe. chap. Fiabilité des systèmes. In Mathématiques en situation - Issues de l'épreuve de modélisation de l'Agrégation, 11 (2000) SCOPOS (Springer). Preprint

 

[00c] C. Tadonki, B. Philippe. Parallel multiplication of a vector by a Kronecker product of matrices (Part II). Parallel and Distributed Computing Practices, Vol. 3 (3),  2000. Preprint

 

[01a] O. Beaumont, B. Philippe. Linear interval tolerance problem and linear programming techniques. Reliable computing, 7(6), pp 433-437, 2001. Preprint

 

[01b] O. Bertrand et B. Philippe. Counting the eigenvalues surrounded by a curve. Siberian Journal of Industrial Mathematics, Tome 4 (2001), no. 2, pp. 73--94. Preprint

 

[02a] H. Hoteit, J. Erhel,  R. Mosé., B. Philippe et P. Ackerer. Numerical reliability for mixed methods applied to flow problems in porous media. J. of Comput. Geosci., 6 (2002), no. 2, pp. 161--194. Preprint

 

[02b] H. Hoteit, R. Mosé, B. Philippe, Ph. Ackerer et J. Erhel. The Maximum Principle Violations of the Mixed-Hybrid Finite Element Method  applied to Diffusion Equations. Internat. J. Numer. Methods Engrg, 55 (2002), no. 12, pp 1373--1390. Preprint

 

[02c] D. Mezher and B. Philippe. Parallel computation of pseudospectra of large sparse matrices. Parallel Comput., 28 (2002), pp 199-221. Document

 

[02d] D. Mezher and B. Philippe. PAT - A reliable path following algorithm. Numer. Algorithms, 29 (2002), no. 1-3, pp 131--152. Document

 

[03] R. B. Sidje, K. Burrage, B. Philippe. An augmented Lanczos algorithm for the efficient computation of a dot-product of a function of a large sparse symmetric matrix.Compuational Science --- ICCS 2003. Part III, pp 693—704, Lecture Notes in Comput. Sci., 2659, Springer, Berlin 2003.

 

[04] H. Hoteit, P. Ackerer, R. Mosé, J. Erhel, B. Philippe. New two-dimensional slope limiters for discontinuous Galerkin methods on arbitrary meshes. Internat. J. Numer. Methods In Engrg 61 (2004), no. 14, pp 2566--2593. Preprint

[05] Atenekeng-Kahou, G.; Kamgnia, E. & Philippe, B. Parallel Implementation of an Explicit Formulation of the Multiplicative Schwarz Preconditionner 17th IMACS World Congress, 2005, Paper T1-I-51-091  Document

[06a] M. W. Berry, D. Mezher, B. Philippe, A. Sameh. - Parallel Algorithms for the Singular Value Decomposition, in Handbook on Parallel Computing and Statistics., ed. E. Kontoghiorghes, pp 117--164, Stat. Textb. Monogr., 184, Chapman & Hall/CRC, Boca Raton, Fl 2006. Chapter 

[06b] B. Philippe, M. Tchuente. – Technologies de l’information et de la communication et fracture numérique, in Sciences et pays en développement : Afrique subsaharienne francophone. Rapport sur la Science et la Technologie (RST) de l’Académie des Sciences, F. Gros rédacteur, Ed. Tex et Doc Lavoisier, pp 59-4, 2005. Preprint

[07a] G-A. Atenekeng Kahou, E. Kamgnia, B. Philippe. - An explicit formulation of the multiplicative Schwarz  preconditionner, Appl. Numer. Math., 57 (2007), no. 11-12, pp. 1197-1213. Document

 

[07b] B. Philippe, Y. SaadOn  correction equations and domain decomposition for computing invariant subspaces, Comput. Methods Appl. Mech. Engrg., 196 (2007), no. 8, pp. 1471—1483. Document

 

[08a] I. T. Dimov, B. Philippe, A. Karaivanova, C. Weihrauch. Robustness and applicability of Markov chain Monte Carlo algorithms for eigenvalue problems, Appl. Math. Model. 32 (2008), no. 8, pp. 1511-1529. Document

 

[08b] N. Gmati, B. Philippe. Comments on the GMRES convergence for preconditionned systems. LNCS (2007), no. 4818, pp 40--51. Preprint

 

[08c] B. Philippe, Y. Saad. Calcul des valeurs propres Techniques de l'Ingénieur Méthodes numériques de base - Algèbre numérique, 2008, AF1224, 45 pages (Voir les auteurs).

 

[08d] A. Abdelmoula, M. Moakher, B. Philippe . Localized spectral analysis for an inverse problem in geodesy, Proc. CARI'08, eds E. Badouel, A. Sbihi, M. Assogba, pp. 369--376. Document

 

[10a] C. Lobry, B. Philippe, M. Jaoua et D. Sotteau. Mathématiques et informatique en Afrique : entretiens avec Claude Lobry, Bernard Philippe, Mohamed Jaoua et Dominique Sotteau. Propos recueillis par Dominique Chouchan, La Recherche. Les Cahiers de l'Inria, 2010. Document

 

[11] B. Philippe and A. Sameh. Numerical linear algebra (pp. 1026-1027); Dense linear system solvers (pp. 549-552) ; Linear Least Squares and Orthogonal Factorization (pp. 1027-1033); Eigenvalue and singular-value problems (pp. 608_615). In Encyclopedia of Parallel Computing, ed. D. Padua, Springer, 2011.

 

[11] E. Kamgnia, B. Philippe. Counting eigenvalues in domains of the complex field, INRIA Research Report RR-7770, 2011. Submitted. Preliminary version available at HAL

 

[12a] B. Philippe, L. Reichel. On the generation of Krylov Subspaces Bases. APNUM, vol. 62, pp. 1171-1186, 2012. Preliminary version available at: HAL

 

[12b] K. A. Gallivan, E. Gallopoulos, A. Grama, B. Philippe, E. Polizzi, Y. Saad, F. Saied, and D. Sorensen. Parallel numerical computing from Illiac IV to Exascale – The contributions of Ahmed Sameh, in High-Performance Scientific Computing - Algorithms and applications. M. Berry, K. A. Gallivan, E. Gallopoulos, A. Grama, B. Philippe, Y. Saad, and F. Saied (eds.), Springer (2012).

 

[12c] E. Kamgnia, L. B. Nguenang, B. Philippe. Some efficient methods for computing the determinants of large sparse matrices.Proc. CARI'12, eds E. Badouel, M. Sellami, Alger, 2012.

[C] Editor of books and proceedings :

[1] Co-editor with M. Tchuente of the special issue CARI'96, volume 17. Technique et science informatiques, HERMES, June 1998.

 

[2] Co-editor with M. Tchuente of the special issue CARI'98 - Colloque Africain de la Recherche en Informatique, volume 19. Technique et science informatiques, HERMES, 2000.

 

[3] Co-editor with P. Chartier of the special issue Sparse matrices and differential equations in industry, volume 24. Numer. Algorithms, 2000.

 

[4] Editor of the special issue Les applications du calcul parallèle, volume 11. Calculateurs parallèles, HERMES, 2000.

 

[5] Co-editor with M. Tchuente of the special issue CARI2000 – Electronic Journal ARIMA, 2002.

 

[6] Co-editor of Parallel Matrix Algorithms and Applications (PMAA '02). P. Arbenz, E. Gallopoulos, B. Philippe, Y. Saad (eds.), Parallel Computers, Vol. 29, No 9, 2003

 

[7] Co-editor of Parallel Matrix Algorithms and Applications (PMAA '04). E. Kontoghiorghes, B. Philippe (eds.), Appl. Numer. Math. 57 (2007), no. 11-12, 1163.

 

[8] Co-editor of Parallel Matrix Algorithms and Applications (PMAA '06). L. Grigori, B. Philippe, A. Sameh, D. Tromeur-Dervout, M. Vajtersic (eds.), Parallel Computers, 34 (2008), no. 6-8.

 

[9] Co-editor of High-Performance Scientific Computing - Algorithms and applications. M. Berry, K. A. Gallivan, E. Gallopoulos, A. Grama, B. Philippe, Y. Saad, and F. Saied (eds.), Springer (2012).