CONVERGENCE OF MUSCL AND FILTERED SCHEMES FOR SCALAR CONSERVATION-LAWS AND HAMILTON-JACOBI EQUATIONS

被引：51

作者：

LIONS, PL ^{[1
]}

SOUGANIDIS, PE ^{[1
]}

机构：

[1] UNIV WISCONSIN, DEPT MATH, MADISON, WI 53706 USA

来源：

NUMERISCHE MATHEMATIK | 1995年 / 69卷 / 04期

关键词：

D O I：

10.1007/s002110050102

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the questions of convergence of: (i) MUSCL type (i.e. second-order, TVD) finite-difference approximations towards the entropic weak solution of scalar, one-dimensional conservation laws with strictly convex flux and (ii) higher-order schemes (filtered to ''preserve'' an upper-bound on some weak second-order finite differences) towards the viscosity solution of scalar, multi-dimensional Hamilton-Jacobi equations with convex Hamiltonians.

引用

页码：441 / 470

页数：30

共 42 条

[1]

[Anonymous], 1967, MATH SB, V72, P93

[2]

Barles G., 1991, Asymptotic Analysis, V4, P271

[3] THE DISCRETE ONE-SIDED LIPSCHITZ CONDITION FOR CONVEX SCALAR CONSERVATION-LAWS [J].