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Natacha BEREUXResearch EngineerCMAP (Centre de Mathématiques Appliquées) École Polytechnique 91128 Palaiseau cedex - FRANCE Phone: +33(0)1 69 33 45 68 Fax: +33(0)1 69 33 30 11 |
Research Interests
- Numerical Linear Algebra: Structured matrices computations, Fast solvers for block Toeplitz systems, Factorization of matrices issued from Boundary Element Methods.
- Parallel processing
- Boundary Element Methods for Surface Acoustic Waves (SAW) devices simulations in collaboration with Temex
- Resonant frequencies in periodic structures (electromagnetic
gratings, photonic band gap optic devices)
Publications
- Fast direct solvers for some complex symmetric block Toeplitz linear systems, Linear Algebra Appl. 404 (2005) 193-222
- Phases of the SAW Reflection and Transmission Coefficients for
Short Reflectors on 128° LiNbO3, IEEE Transactions
on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 51, No. 12, December 2004, pp. 1671-1682 (with S. Lehtonen, V. Plessky, M. Salomaa). - Minimum-loss short reflectors on 128° LiNbO3, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, Volume 51, Issue 10, Oct. 2004, pp. 1203 - 1205 (with S. Lehtonen, V. Plessky, M. Salomaa).
- Analysis of the radiation properties of a planar antenna on a photonic crystal substrate. Math. Methods Appl. Sci. 24 (2001), no. 13, 1021--1042 (with H.Ammari and E. Bonnetier).
- Resonances for Maxwell's equations in a periodic structure , Japan Journal of Industrial and Applied Mathematics (with H. Ammari and J.-C. Nédélec), 17, 149-198 (2000).
- Resonant frequencies for a narrow strip grating, Mathematical Methods in the Applied Sciences, (with H. Ammari and J-C. Nédélec), 22, 1121-1152 (1999).
- Resonances for Maxwell's equations in a periodic structure. C. R. Acad. Sci. Paris Sér. I Math. 325 (1997), no. 2, 211--215 (with H. Ammari and J.-C Nédélec).
Technical Reports
- Out-of-core implementations of Cholesky factorization: loop-based versus recursive algorithms. , Technical Report 602, CMAP, Ecole Polytechnique, Oct 2006.
- Fast direct solvers for some complex symmetric block Toeplitz linear systems, Technical Report 531, CMAP, Ecole Polytechnique, May 2004.
- A Cholesky algorithm for some complex symmetric systems, Technical Report 515, CMAP, Ecole Polytechnique, October 2003.
Proceedings
- Performances of short reflectors on 128° LiNbO3, Ultrasonics Symposium, 2004 IEEE, Volume 1, 23-27 Aug. 2004 Page(s):433 - 436 Vol.1 (with S. Lehtonen, V. Plessky, M. Salomaa).
PhD Thesis
- Etude des résonances pour les équations de Maxwell dans quelques structures, Thèse de l'École Polytechnique, 1998.
Software
- Fast direct solvers for some complex symmetric block Toeplitz systems download
- A LAPACK-style Cholesky solver for complex symmetric systems download
- A ScaLAPACK-style parallel Cholesky solver for complex symmetric systems