Finite Volume Multilevel Approximation of the Shallow Water Equations

Arthur Bousquet (), Martine Marion () and Roger Temam ()
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Arthur Bousquet: Indiana University, The Institute for Scientific Computing and Applied Mathematics
Martine Marion: Indiana University, The Institute for Scientific Computing and Applied Mathematics
Roger Temam: Indiana University, The Institute for Scientific Computing and Applied Mathematics

A chapter in Partial Differential Equations: Theory, Control and Approximation, 2014, pp 67-98 from Springer

Abstract: 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.

Keywords: Finite-volume methods; Multilevel methods; Shallow water equations; Stability analysis; 65M60; 65N21; 65N99 (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-41401-5_3

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DOI: 10.1007/978-3-642-41401-5_3

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