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On the nonlinearity of modern shock-capturing schemes. (English) Zbl 0653.65066
Wave motion: theory, modelling, and computation, Proc. Conf. Hon. 60th Birthday P.D. Lax, Publ. Math. Sci. Res. Inst. 7, 147-201 (1987).
[For the entire collection see Zbl 0638.00016.]
This paper gives a survey of total-variation-diminishing schemes and essentially nonoscillatory schemes for nonlinear systems of hyperbolic equations. The paper is an excellent introduction to the subject.
Reviewer: G.Hedstrom

MSC:
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
76N15 Gas dynamics, general
35L60 First-order nonlinear hyperbolic equations