Kinetic semidiscretization of scalar conservation laws and convergence by using averaging lemmas

被引：19

作者：

Vasseur, A

机构：

[1] Ecole Normale Super, DMI, F-75230 Paris 05, France

[2] Univ Paris 06, Anal Numer Lab, F-75252 Paris 05, France

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1999年 / 36卷 / 02期

关键词：

scalar conservation laws; kinetic schemes; averaging lemmas;

D O I：

10.1137/S0036142996313610

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a time discrete kinetic scheme (known as "transport collapse method") for the inviscid Burgers equation partial derivative(t)u + partial derivative(x) u(2)/2 = 0. We prove the convergence of the scheme by using averaging lemmas without bounded variation estimate. Then, the extension of this result to the kinetic model of Brenier and Corrias is discussed.

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收藏

页码：465 / 474

页数：10

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