Finite Volume Multilevel Approximation of the Shallow Water Equations

Arthur Bousquet, Martine Marion, Roger Temam

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

The authors consider a simple transport equation in one-dimensional space and the linearized shallow water equations in two-dimensional space, and describe and implement a multilevel finite-volume discretization in the context of the utilization of the incremental unknowns. The numerical stability of the method is proved in both cases.

Original languageEnglish (US)
Pages (from-to)1-28
Number of pages28
JournalChinese Annals of Mathematics. Series B
Volume34
Issue number1
DOIs
StatePublished - Feb 6 2013

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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