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https://hdl.handle.net/10316/4658
Title: | A converging finite volume scheme for hyperbolic conservation laws with source terms | Authors: | Santos, J. Oliveira, P. de |
Keywords: | Hyperbolic conservation laws; Singular source term; Dirac delta functions; Finite volume methods; Conservative numerical methods | Issue Date: | 1999 | Citation: | Journal of Computational and Applied Mathematics. 111:1-2 (1999) 239-251 | Abstract: | 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. | URI: | https://hdl.handle.net/10316/4658 | DOI: | 10.1016/S0377-0427(99)00146-6 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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