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SIAMSC
2008

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A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit

13 years 7 months ago

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We propose a new numerical scheme for linear transport equations. It is based on a decomposition of the distribution function into equilibrium and non-equilibrium parts. We also us...

Mohammed Lemou, Luc Mieussens

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SIAMSC
2010

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A Micro-Macro Decomposition-Based Asymptotic-Preserving Scheme for the Multispecies Boltzmann Equation

13 years 6 months ago

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In this paper we extend the micro-macro decomposition based asymptotic-preserving scheme developed in [3] for the single species Boltzmann equation to the multispecies problems. A...

Shi Jin, Yingzhe Shi

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SIAMNUM
2010

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Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit

13 years 2 months ago

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We present a mathematical analysis of the asymptotic preserving scheme proposed in [M. Lemou and L. Mieussens, SIAM J. Sci. Comput., 31, pp. 334

Jian-Guo Liu, Luc Mieussens

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