A converging finite volume scheme for hyperbolic conservation laws with source terms

被引：9

作者：

Santos, J

de Oliveira, P

机构：

[1] Univ Aveiro, Dept Matemat, P-3810 Aveiro, Portugal

[2] Univ Coimbra, Dept Matemat, P-3000 Coimbra, Portugal

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1999年 / 111卷 / 1-2期

关键词：

hyperbolic conservation laws; singular source term; dirac delta functions; finite volume methods; conservative numerical methods;

D O I：

10.1016/S0377-0427(99)00146-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study convergence of numerical discretizations of hyperbolic nonhomogeneous scalar conservation laws. Particular attention is devoted to point source problems. Standard numerical methods, obtained by a direct discretization of the differential form, fail to converge, even in the linear case. We consider the equation in integral form in order to construct a class of convergent accurate methods. Numerical examples are included. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：239 / 251

页数：13

共 9 条

[1]

[Anonymous], 1970, MATH USSR SB

[2] On convergence of numerical schemes for hyperbolic conservation laws with stiff source terms [J].