Numerical Linear Algebra

Frederic Magoules graduated with a B.Sc. in Engineering Sciences in 1993, a M.Sc. in Applied Mathematics in 1994 and a M.Sc. in Numerical Analysis in 1995, from Universite Pierre & Marie Curie. He received his Ph.D. in Applied Mathematics from Universite Pierre Marie Curie in 2000. He then post-doc'ed and taught there for one year, as Assistant Professor of Numerical Analysis, prior to joining Universite Henri Poincare in 2000 as Assistant and then Associate Professor of Applied Mathematics and Engineering. He received his HDR (Habilitation a Diriger des Recherches) from Universite Pierre & Marie Curie in 2005. He joined Ecole Centrale des Arts et Manufactures in 2006 as Professor of Applied Mathematics (in 2015, Ecole Centrale des Arts et Manufactures merged with Supelec and became CentraleSupelec, Universite Paris-Saclay). With backgrounds in Computational Science and Engineering, Applied Mathematics, Computer Science, and consulting experience with industry and national laboratories, Frederic Magoules works at the algorithmic interface between parallel computing and the numerical analysis of partial differential equations and algebraic differential equations. Frederic Magoules and his research group design, analyze, develop, and validate mathematical models and computational methods for the high-performance simulation of multidisciplinary scientific and engineering problems. Author or co-author of over 150 refeered publications in Computational Science and Engineering, Applied Mathematics, and Computer Science, Frederic Magoules has authored 11 books, and edited 9 books. Abal-Kassim Cheik Ahamed received his French Baccalaureat S. (Scientific) in Mayotte, France, in 2006. In 2008, he graduated with three B.Sc. Degree at the Universite de Pau et des Pays de l'Adour and Universite de Cergy- Pontoise, France. He graduated with Engineer degree in the Department of HPC and Scientific Computing at the Ecole Internationale des Sciences du traitement de l'information (EISTI), France, in 2011. He also graduated with a M.Sc. degree in the Department of Science, Technology and Health at the Universite de Cergy-Pontoise, France, in 2011. In 2015, he graduated with PhD degree in applied mathematics and computer science at Ecole Centrale Paris (Applied Mathematics and Systems Laboratory), Chatenay-Malabry, France. Thesis: Numerical methods for the accelerated resolution of large scale linear systems on massively parallel hybrid architectures, Univ. de Franche Comte; Mr. Che-Lun Hung, Providence Univ. His major research interests are oriented to the acceleration of numerical methods using both GPU Computing and Parallel Computing.Currently, he is a postdoctoral fellow at CentraleSupelec, Universite Paris-Saclay, France. He is currently assistant professor at CentraleSupelec for different courses: Introduction to databases, Algorithms, Advanced Programming and software development, and diverse projects.

1. GPU Computing
2. Basics of numerical matrix analysis
3. Linear Algebra Operations
4. Direct Methods
5. Iterative Methods
6. Parallel Iterative Methods
7. Parallel Preconditioning Methods
8. Energy Consumption