×

zbMATH — the first resource for mathematics

Strong stability-preserving high-order time discretization methods. (English) Zbl 0967.65098
This paper is essentially a review of a class of strong stability preserving (a.k.a. total variation diminishing) high-order time discretization methods for a broad class of partial differential equations. Emphasis is placed on nonlinear problems and problems with solutions of relatively low regularity, such as nonlinear conservation laws.

MSC:
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
35L65 Hyperbolic conservation laws
PDF BibTeX XML Cite
Full Text: DOI