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2017

2017

We develop new numerical schemes for Vlasov–Poisson equations with high-order accuracy. Our methods are based on a spatially… Expand

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Highly Cited

2015

Highly Cited

2015

This paper is a continuation of our work on the development of multiscale numerical scheme from low-speed isothermal flow to… Expand

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2015

2015

Abstract We construct numerical schemes to solve kinetic equations with anomalous diffusion scaling. When the equilibrium is… Expand

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Highly Cited

2012

Highly Cited

2012

The computation of compressibleflows becomes more challenging when the Mach number has different orders of magnitude. When the… Expand

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2012

2012

We propose an asymptotic preserving (AP), all Mach number, Godunov-type finite volume scheme for the numerical solution of the… Expand

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2012

2012

Standard hyperbolic solvers for the compressible Euler equations cause increasing
approximation errors and have severe stability… Expand

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2011

2011

We present a class of asymptotic-preserving (AP) schemes for the nonhomogeneous Fokker-Planck-Landau (nFPL) equation. Filbet and… Expand

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2008

2008

The occurrence of oscillations in a well-known asymptotic preserv- ing (AP) numerical scheme is investigated in the context of a… Expand

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Highly Cited

2004

Highly Cited

2004

This paper deals with the development of accurate one-step schemes for the numerical simulation of unsteady compressible flows… Expand

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2001

2001

Kinetic equations have scalings, characterized by the mean free path, that lead to various different limiting behaviors, such as… Expand

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