Towers, John D. Convergence of a difference scheme for conservation laws with a discontinuous flux. (English) Zbl 0972.65060 SIAM J. Numer. Anal. 38, No. 2, 681-698 (2000). Convergence is established for a scalar finite difference scheme, based on the Godunov or Enquist-Osher flux, for a scalar conservation law having a flux that is spatially dependent with a possibly discontinuous coefficient. The algorithm uses only scalar Riemann solvers. The limit function is shown to satisfy Kruzkov-type entropy inequalities. Reviewer: Michael Sever (Jerusalem) Cited in 3 ReviewsCited in 92 Documents MSC: 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 35L65 Hyperbolic conservation laws 35R05 PDEs with low regular coefficients and/or low regular data Keywords:conservation laws; discontinuous coefficients; Godunov flux; convergence; finite difference scheme; Enquist-Osher flux; algorithm; Riemann solvers; Kruzkov-type entropy inequalities PDFBibTeX XMLCite \textit{J. D. Towers}, SIAM J. Numer. Anal. 38, No. 2, 681--698 (2000; Zbl 0972.65060) Full Text: DOI