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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

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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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1986-0829615-4
PII: S 0025-5718(1986)0829615-4
Article copyright: © Copyright 1986 American Mathematical Society