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.
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页码：239 / 251
页数：13
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