Error bounds for a deterministic version of the Glimm scheme

被引：31

作者：

Bressan, A

Marson, A

机构：

[1] SISSA, I-34014 Trieste, Italy

[2] Univ Brescia, Dipartimento Elettron Automaz, I-25123 Brescia, Italy

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 1998年 / 142卷 / 02期

关键词：

D O I：

10.1007/s002050050088

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider the hyperbolic system of conservation laws u(t) + F(u)(x) = 0. Let u be the unique viscosity solution with initial condition u(0, x) = (u) over bar(x), and let u(epsilon) be an approximate solution constructed by the Glimm scheme, corresponding to the mesh sizes Delta x, Delta t = O(Delta x). With a suitable choice of the sampling sequence, we prove the estimate \\u(epsilon)(t, .) - u(t, .)\\(L1) = o(1).root Delta x\ln(Delta x)\.

引用

页码：155 / 176

页数：22

共 14 条

[1] CONTRACTIVE METRICS FOR NONLINEAR HYPERBOLIC SYSTEMS [J].