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math.NA2017★ 41 cited
Second order Implicit-Explicit Total Variation Diminishing schemes for the Euler system in the low Mach regime
Giacomo Dimarco, Raphaël Loubère, Victor Michel-Dansac +1
In this work, we consider the development of implicit explicit total variation diminishing (TVD) methods (also termed SSP: strong stability preserving) for the compressible isentro…
math.NA2013★ 40 cited
Study of a fully implicit scheme for the drift-diffusion system. Asymptotic behavior in the quasi-neutral limit
Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Marie-Hélène Vignal
In this paper, we are interested in the numerical approximation of the classical time-dependent drift-diffusion system near quasi-neutrality. We consider a fully implicit in time a…