A Third-Order Accurate Wave Propagation Algorithm for Hyperbolic Partial Diferential Equations

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  • Institute of Mathematics, Heinrich-Heine-University Düsseldorf, Düsseldorf, Germany

Received date: 2019-04-16

  Revised date: 2019-09-29

  Online published: 2020-05-12

Abstract

We extend LeVeque’s wave propagation algorithm, a widely used fnite volume method for hyperbolic partial diferential equations, to a third-order accurate method. The resulting scheme shares main properties with the original method, i.e., it is based on a wave decomposition at grid cell interfaces, it can be used to approximate hyperbolic problems in divergence form as well as in quasilinear form and limiting is introduced in the form of a wave limiter.

Cite this article

Christiane Helzel . A Third-Order Accurate Wave Propagation Algorithm for Hyperbolic Partial Diferential Equations[J]. Communications on Applied Mathematics and Computation, 2020 , 2(3) : 403 -427 . DOI: 10.1007/s42967-019-00056-3

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