Jan S. Hesthaven

EPFL SB-DO
PH A2 364 (Bâtiment PH)
Station 3
CH-1015 Lausanne

EPFL SB MATH MCSS
MA C2 652 (Bâtiment MA)
Station 8
CH-1015 Lausanne

Web site: Site web: https://mcss.epfl.ch/

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Données administratives

Domaines de compétences

The research activities focuses on the development, analysis and application of high-order accurate computational methods for time-dependent partial differential equations with a particular emphasis on linear and nonlinear wave problems. This has and continues to included research activities in discontinuous Galerkin and spectral methods, certificed reduced basis methods, methods for uncertainty quantification, methods for multiscale problems in time and space,  efficient multilevel solvers and fractional differential equations. A major recent activity is the use of machine learning techniques in computational science with an emphasis on methods that preserve physical characteristics or the use of local neural networks to accelerate existing methods rather than replacing them.

While the emphasis in on the development and analysis of new methods and algorithms, the research is application driven and we generally maintain a strong focus on tying the theoretical developments to real applications, ranging from electromagnetics and plasma physics to geoscience and combustion. There is also a sustained interest in the development of methods and algorithms for parallel computing, GPU accelerated computing and the development of resilient algorithms, to support the development and use of large scale computational tool to enable predictive similation science.

Publications

Publications Infoscience

Enseignement & Phd

Enseignement

Mathematics

Programmes doctoraux

Doctoral Program in Mathematics

Doctoral Program in Physics

Cours

Numerical methods for conservation laws

Introduction au développement, à l'analyse et l'application de méthodes numériques pour la résolution de lois de conservations, en mettant l'accent sur les méthodes de volumes finis et Galerkin discontinues.