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

• Author(s): Santos, J. ; Oliveira, P. de
• Date: 1999
• Persistent ID: http://hdl.handle.net/10316/4658
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Hyperbolic conservation laws; Singular source term; Dirac delta functions; Finite volume methods; Conservative numerical methods
• Document Type: Article
• Language: English

Description

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. http://www.sciencedirect.com/science/article/B6TYH-3YMFK8J-R/1/cbe49d4b91208a476f2e65596d793511