Tang, Tao; Wang, Jinghua Convergence of MUSCL relaxing schemes to the relaxed schemes for conservation laws with stiff source terms. (English) Zbl 0982.65101 J. Sci. Comput. 15, No. 2, 173-195 (2000). The maximum principle for MUSCL relaxing schemes applied to conservation laws with stiff source terms is proven. Stability in BV and \(l^1\) is shown independently of the relaxation parameter. Convergence of the relaxing schemes to the corresponding MUSCL relaxed schemes is established. Reviewer: Thomas Sonar (Braunschweig) Cited in 3 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 Keywords:stability; convergence; maximum principle; MUSCL relaxing schemes; conservation laws; stiff source terms PDFBibTeX XMLCite \textit{T. Tang} and \textit{J. Wang}, J. Sci. Comput. 15, No. 2, 173--195 (2000; Zbl 0982.65101) Full Text: DOI