On a large time-step high resolution scheme

Author:
Ami Harten

Journal:
Math. Comp. **46** (1986), 379-399

MSC:
Primary 65M05; Secondary 65M10, 76L05

DOI:
https://doi.org/10.1090/S0025-5718-1986-0829615-4

MathSciNet review:
829615

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Abstract: This paper presents a class of new second-order accurate -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 -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:
https://doi.org/10.1090/S0025-5718-1986-0829615-4

Article copyright:
© Copyright 1986
American Mathematical Society