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On a class of high resolution total-variation-stable finite-difference schemes

Technical Report ·
OSTI ID:6654483

This paper presents a class of new explicit and implicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conservation laws. These highly nonlinear schemes are obtained by applying a nonoscillatory first order accurate scheme to an appropriately modified flux. The so derived second order accurate schemes achieve high resolution, while retaining the robustness of the original first order accurate scheme.

Research Organization:
New York Univ., NY (USA). Courant Inst. of Mathematical Sciences
DOE Contract Number:
AC02-76ER03077
OSTI ID:
6654483
Report Number(s):
DOE/ER/03077-176; ON: DE83004386
Country of Publication:
United States
Language:
English

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