Peer-Reviewed Publications.
[15] S. Loisel, The two-Lagrange multiplier method with cross points. In preparation (25 pages). Preprint available on request.[14] M. J. Gander, S. Loisel and D. B. Szyld, An optimal block iterative method and preconditioner for banded matrices with applications to PDEs on irregular domain. In preparation (30 pages). Preprint available on request.
[13] Y. Takane and S. Loisel, Minimum Polynomial Extrapolation in MATLAB and in R. Submitted (3 pages). Preprint available on request.
[12] 12. Y. Takane and S. Loisel, Generalized GIPSCAL Re-revisited: A fast convergent algorithm with acceleration by the minimum polynomial extrapolation. Submitted (18 pages). Preprint available on request.
[11] O. Dubois, S. Loisel, A. St-Cyr, and D. B. Szyld, The Optimized Schwarz Method with a Coarse Grid Correction. Submitted (28 pages). Preprint available on request.
[10] S. Loisel, J. Côté, M. J. Gander, L. Laayouni, A. Qaddouri, Optimized Domain Decomposition Methods for the Spherical Laplacian. In revision for publication in SINUM. preprint
[9] S. Loisel and D. B. Szyld, On the convergence of Algebraic Optimizable Schwarz Methods with applications to elliptic problems. Numerische Mathematik (2009), DOI 10.1007/s00211-009-0261-3 (32 pages). Temple report 07-11-16
[8] 10. S. Loisel, M. Takane, Fast Robust Generalized Method of Moments. Computational Statistics and Data Analysis 53 (2009), 3571--3579. preprint
[7] S. Loisel and D. B. Szyld, On the convergence of Optimizable Schwarz Methods by way of Matrix Analysis. In Bercovier, M., Gander, M., Kornhuber, R., Widlund, O., Domain Decomposition Methods in Science and Engineering XVIII (2009), 363--370. preprint
[6] S. Loisel and D. B. Szyld, A maximum principle for trace norms with an application to Optimizable Schwarz Methods. In Bercovier, M., Gander, M., Kornhuber, R., Widlund, O., Domain Decomposition Methods in Science and Engineering XVIII (2009), 193--200. preprint
[5] S. Loisel, R. Nabben, D. B. Szyld, On Hybrid Multigrid-Schwarz algorithms. In Journal of Scientific Computing, Vol 36, Issue 2, DOI: 10.1007/s10915-007-9183-3. (Temple report 07-8-28 version)
[4] A. Qaddouri, L. Laayouni, S. Loisel, J. Côté, M. J. Gander, Optimized Schwarz methods with an overset grid for the shallow-water equations: preliminary results. Applied Numerical Mathematics, Volume 58, Issue 4, April 2008, Pages 459--471.
[3] N. Bartholdi, J. Blanc, S. Loisel, Line and pseudo-line arrangements with maximal number of triangles. In Discrete and Computational Geometry - Twenty Years Later. 2007.
[2] S. Loisel, Optimal and optimized domain decomposition methods on the sphere. In Olof B. Widlund and David E. Keyes (editors), Domain Decomposition Methods in Science and Engineering XVI, Lecture Notes in Computational Science and Engineering, vol. 55, Springer, 2006, pp. 197-204.
[1] J. Côté, M. J. Gander, L. Laayouni, and S. Loisel, Comparison of the Dirichlet-Neumann and Optimal Schwarz Method on the Sphere. In R. Kornhuber, R. Hoppe, J. Priaux, O. Pironneau, O. B. Widlund, and J. Xu (editors), Domain Decomposition Methods in Science and Engineering, Lecture Notes in Computational Science and Engineering, vol. 40, Springer, 2004, pp.235-242.
Other publications
S. Loisel, Optimal and optimized domain decomposition methods on the sphere. Ph.D. thesis, McGill university, 2005.S. Loisel, Polarization constants for symmetric multilinear forms. Master's thesis, McGill University, 2001.
S. Loisel, Zed3D: a compact reference for 3d computer graphics programming. 1996.
Miscellaneous.
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