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Trigonometric WENO Schemes for Hyperbolic Conservation Laws and Highly Oscillatory Problems

Trigonometric WENO Schemes for Hyperbolic Conservation Laws and Highly Oscillatory Problems
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Year:    2010

Communications in Computational Physics, Vol. 8 (2010), Iss. 5 : pp. 1242–1263

Abstract

In this paper, we use trigonometric polynomial reconstruction, instead of algebraic polynomial reconstruction, as building blocks for the weighted essentially non-oscillatory (WENO) finite difference schemes to solve hyperbolic conservation laws and highly oscillatory problems. The goal is to obtain robust and high order accurate solutions in smooth regions, and sharp and non-oscillatory shock transitions. Numerical results are provided to illustrate the behavior of the proposed schemes.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.250509.211009a

Communications in Computational Physics, Vol. 8 (2010), Iss. 5 : pp. 1242–1263

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:   

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