Second order accurate upwind difference schemes for scalar conservation laws with source termsGlaister, P. (1993) Second order accurate upwind difference schemes for scalar conservation laws with source terms. Computers & Mathematics with Applications, 25 (4). pp. 65-73. ISSN 0898-1221 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1016/0898-1221(93)90249-U Abstract/SummaryA second order accurate, characteristic-based, finite difference scheme is developed for scalar conservation laws with source terms. The scheme is an extension of well-known second order scalar schemes for homogeneous conservation laws. Such schemes have proved immensely powerful when applied to homogeneous systems of conservation laws using flux-difference splitting. Many application areas, however, involve inhomogeneous systems of conservation laws with source terms, and the scheme presented here is applied to such systems in a subsequent paper.
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