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math.NA2026
Certification of PGD reduced-order models with separated spatial variables
Jean Ruel, Ludovic Chamoin, Frédéric Legoll +1
Model order reduction techniques have become an attractive approach for obtaining fast approximations of multidimensional problems. Besides computational efficiency, ensuring the r…
math.NA2023
Maximum principle preserving time implicit DGSEM for linear scalar hyperbolic conservation laws
Riccardo Milani, Florent Renac, Jean Ruel
We investigate the properties of the high-order discontinuous Galerkin spectral element method (DGSEM) with implicit backward-Euler time stepping for the approximation of hyperboli…