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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.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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