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math.NA2011★ 7 cited
Implicit-Explicit Runge-Kutta schemes for hyperbolic systems and kinetic equations in the diffusion limit
S. Boscarino, L. Pareschi, G. Russo
We consider Implicit-Explicit (IMEX) Runge-Kutta (R-K) schemes for hyperbolic systems with stiff relaxation in the so-called diffusion limit. In such regime the system relaxes towa…
math.NA2011
Analysis of an Asymptotic Preserving Scheme for Relaxation Systems
Francis Filbet, Amélie Rambaud
We study the convergence of a class of asymptotic preserving numerical schemes initially proposed by F. Filbet & S. Jin \cite{filb1} and G. Dimarco & L. Pareschi \cite{DimarcoP} in…