Computer Mathematics and Simulation Science

The Computer Mathematics and Simulation Science (MCSS) laboratory at EPFL, under the direction of Professor Jan S. Hesthaven, focuses on developing high-order accurate computational methods for time-dependent partial differential equations. Research areas include discontinuous Galerkin and spectral methods, certified reduced basis methods, uncertainty quantification, multiscale problems, fractional differential equations, and machine learning techniques. The lab emphasizes tying theoretical developments to real applications in electromagnetics, plasma physics, combustion, and geoscience. Additionally, there is a strong interest in parallel computing, GPU acceleration, and resilient algorithms for large-scale predictive simulation science.