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On a large time-step high resolution scheme

Author: Ami Harten
Journal: Math. Comp. 46 (1986), 379-399
MSC: Primary 65M05; Secondary 65M10, 76L05
MathSciNet review: 829615
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Abstract: This paper presents a class of new second-order accurate $ (2K + 3)$-point explicit schemes for the computation of weak solutions of hyperbolic conservation laws, that are total-variation-diminishing under a CFL restriction of K. These highly nonlinear schemes are obtained by applying a nonoscillatory first-order accurate $ (2K + 1)$-point scheme to a modified flux. The so-derived second-order accurate schemes achieve high resolution, while retaining the robustness of the original first-order accurate scheme.

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Article copyright: © Copyright 1986 American Mathematical Society

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