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PUBLISHED PAPERS


  1. Sparse approximations of matrix functions via numerical integration of ODEs, Bull. of Computational Appled Mathematics, November 2016, Special Issue in Honor of the 60th Birthday of Professor Marcos Raydan
  2. (with M. Raydan) Geometrical Inverse Preconditioning for Symmetric Positive Definite matrices, Mathematics MDPI,  2016, 4 (3), 46, special volume on linear numerical algebra
  3. (with A.A. Franco and M. Mammeri)  Boundary Control of the number of the interfaces for the one-dimensional Allen-Cahn equation, Discr. Cont. Dyn. Syst. S, 2016
  4. (With M. Brachet), Stabilized Times Schemes for High Accurate Finite Differences Solutions of Nonlinear Parabolic Equations,Journal of Scientific Computing, 69(3), 946-982, 2016
  5. (with M. Petcu) Parallel Matrix Function Evaluation via Initial Value ODE Modelling, Computers and Mathematics with Applications Volume 72 Issue 1, July 2016 Pages 76-91
  6. (with M. Raydan) Inexact Newton's Method with Inner Implicit Preconditioning for Algebraic Riccati Equations, Computational and Applied Mathematics, June 2017, Volume 36, Issue 2, pp 955Ð969 
  7. (with P. Garnier and Y. Mammeri) , Long-time behavior of solutions of a BBM equation with generalized damping, Discr. Cont. Dyn. Syst. B, n 7, september 2015, Pages : 1897 - 1915
  8. (with G. Sadaka) On Damping Rates of dissipative KdV equations, Discr. Cont. Dyn. Syst. S6-6 December 2013
  9.  (with G. Sadaka) Numerical Study of a family of dissipative KdV equations, Commun. Pure Appl. Anal. 12 (2013), no. 1, 519--546.
  10. "Un texte, un mathématicien" à Amiens, Gazette des Mathématiciens, 132, 67-68, avril 2012, article
  11.   (with M. Raydan) An implicit preconditioning strategy for large-scale generalized Sylvester equations, Applied Mathematics and Computation, 217 (2011), no. 21, 8
  12. (with C. Calgaro et Y. Saad) Incremental Incomplete LU factorizations with applications to PDES, Numerical Linear Algebra with Applications, vol 17, 5, p 811--837, 2010.
  13. (with Marcos Raydan) Preconditioned residual methods for solving steady fluid flows, ETNA, Vol 33, pp136-151, (2009)
  14. (with C. Calgaro, J. Laminie, E. Zahrouni)  Schémas multiniveaux pour les équations d'ondes, ESAIM Proc., 27, EDP Sci., p 180-208, 2009. 
  15.   (avec Marcos Raydan) Geometrical properties of the Frobenius condition number for positive definite matrices, Linear Algebra and its Applications, Volume 429, Issues 8-9, 2089-2097(2008).    
  16. (with A. Abounouh, H. Al Moatassime, S. Dumont, O. Goubet) Discrete Schrödinger Equations and dissipative dynamical systems, Communications on Pure and Applied Analysis, 7 (2008), no 2, 211-227. 
  17. Differential equations and inverse preconditioners, Computational and Applied Mathematics, Vol 26, N1, pp 1-34 (2007). 
  18. (with M. Raydan) Implicit and adaptive inverse preconditioned gradient methods for nonlinear problems, Applied Numerical Mathematics, Vol. 55, 1, p 32-47, (2005).
  19. (with J. Laminie) Differential equations and solution of linear systems, Numerical Algorithms, 40, 103-124 (2005).
  20. (with S. Belmehdi) Integral representation of the solutions to Heun's biconfluent equation, Abstract Applied Analysis, 4 (2004), 295-306.
  21. (with B. Costa) Time explicit schemes and finite differences splittings , Journal of Scientific Computing, 20, 2 (2004), pp 159-189. 
  22. (with A. Cohen, D. Jennequin, JJ. Nieto, J. Roche, C. Roland) An adaptive PIC method for the simulation of Intense Beams using multiresolution analysis, Numerical Methods for Hyperbolic and Kinetic Problems, CEMRACS 2003/IRMA Lectures in Mathematics and Theoretical Physics, 29-42.
  23. (with B. Costa) Multiparameter methods for evolutionary equations , Numerical Algorithms, 34 (2003), 245-257
  24.   (with C. Brezinski) Multiparameter iterative schemes for the solution of systems of linear and nonlinear equations , SIAM J. Sc. Comput, VOL 20, 6, (1999), 2140-2159
  25. (with C. Brezinski) Nonlinear hybrid procedures and fixed point iterations , Num. Func. Anal. Opt., 19 (1998), 465-487.
  26. (with A. Miranville) Incremental Unknowns Method on Nonuniform Meshes , M2AN, 32, 5, (1998) , 539-577.
  27. Incremental Unknowns Method and Compact Schemes , M2AN, 32, 1, (1998), 51-83.
  28. Solution of Generalized Stokes Problems Using Hierarchical Methods and Incremental Unknowns , Appl. Num. Math., 21 (1996) 9-42.
  29. A nonlinear Adaptative Multiresolution Method in Finite Differences with Incremental Unknowns , M2AN, 29 (1995) 452-475.
  30. (with R. Temam) Incremental Unknowns for Solving Nonlinear Eigenvalue Problems: New Multiresolution Methods , Num. Meth. PDE's, 11 (1995) 199-228.        
                                     PREPRINTS                                  
  1. (with H. Abboud and C. Al Kosseifi) A Stabilized bi-grid method for Allen Cahn equation in Finite Elements august 2017, https://arxiv.org/pdf/1707.09859.pdf
  2. (with P. Garnier and Y. Mammeri)
    Numerical solution of the generalized Kadomtsev-Petviashvili equations with compact finite difference schemes, april 2016 https://arxiv.org/pdf/1605.03213v1.pdf
  3. (with B. Costa)  Multiparameter extensions of iterative processes rapport technique du laboratoire de mathématiques d'Orsay, 2002
  4. Preconditioning of Quasirational Matricial Approximation of finite differences Operators Note ANO 406 
  5. (with A. Miranville) Induced Hierarchical Preconditioners : The Finite Differences Case Note AN0 371

           PROCEEDINGS

  1. with A.A. Franco, M.L. Doublet, T.K. Nguyen and Y. Mammeri, Ab Initio-Based Multiscale Simulations of Conversion Reactions in Lithium-Ion Batteries, Proceedings of the 225th ECS Meeting (2014). pdf
    EDITION
  1. Bellalij, M; Calgaro, C; Chehab, J-P; Jbilou, K; Sadok, H Preface [Special issue: 9th IMACS International Symposium on Iterative Methods in Scientific Computing (IISIMSC 2008)]. Held at the University of Lille I, Villeneuve d'Ascq, March 17-20, 2008. Appl. Numer. Math. 60 (2010), no. 11, 1053. 65-06
    THESIS
  1. J.-P. Chehab : Méthode des inconnues incrémentales. Applications au calcul des bifurcations Thèse, Université Paris-XI, Orsay, janvier 1993. 
  2. J.-P. Chehab : Quelques méthodes multiniveaux en différences finies pour la résolution de problèmes elliptiques et paraboliques . Habilitation à diriger les recherches, Lille, juin 2004.