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TVB uniformly high-order schemes for conservation laws. (English) Zbl 0628.65075
The author presents an analysis of total-variation-bounded (TVB) uniformly high-order schemes for conservation laws using complex mathematics. The schemes are shown to generate locally first order accuracy at nonsonic critical points. Numerical examples are provided to illustrate these schemes.
Reviewer: P.K.Mahanti

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
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