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Zbl 0967.65098
Gottlieb, Sigal; Shu, Chi-Wang; Tadmor, Eitan
Strong stability-preserving high-order time discretization methods. (English)
[J] SIAM Rev. 43, No.1, 89-112 (2001). ISSN 0036-1445; ISSN 1095-7200/e

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.
[Michael Sever (Jerusalem)]

MSC 2000:: *65M12 Stability and convergence of numerical methods (IVP of PDE)
65M20 Method of lines (IVP of PDE)
65-02 Research monographs (numerical analysis)
65L06 Multistep, Runge-Kutta, and extrapolation methods
35L65 Conservation laws

Keywords: strong stability preserving; Runge-Kutta methods; multistep methods; high-order accuracy; time discretization; survey paper; semidiscretization; total variation diminishing; nonlinear conservation laws

Cited in: Zbl 1217.65171 Zbl 1153.65080

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