- Centre National de la Recherche ScientifiqueFR528 papers
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Showing 2011 · math.NAShow all
3 papers · 2 filters
math.NA2011★ 11 cited
Analytic regularity for a singularly perturbed system of reaction-diffusion equations with multiple scales: proofs
Jens Markus Melenk, Christos Xenophontos, Lisa Oberbroeckling
We consider a coupled system of two singularly perturbed reaction-diffusion equations, with two small parameters , each multiplying the highest derivative in the eq…
math.NA2011★ 40 cited
Total-Variation-Diminishing Implicit-Explicit Runge-Kutta Methods for the Simulation of Double-Diffusive Convection in Astrophysics
Friedrich Kupka, Natalie Happenhofer, Inmaculada Higueras +1
We put forward the use of total-variation-diminishing (or more generally, strong stability preserving) implicit-explicit Runge-Kutta methods for the time integration of the equatio…
math.NA2011★ 52 cited
On stability of discretizations of the Helmholtz equation (extended version)
Sofi Esterhazy, Jens Markus Melenk
We review the stability properties of several discretizations of the Helmholtz equation at large wavenumbers. For a model problem in a polygon, a complete -explicit stability (i…