A finite volume implicit Euler scheme for the linearized shallow water equations: stability and convergence

Authors: Karine Adamy, Phạm Xuân Dụ,

https://doi.org/10.1080/01630560600882657

Publisher, magazine: ,

Publication year: 2006

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Abstract

The linearized shallow water equations are discretized in space by a finite volume method and in time by an implicit Euler scheme. Stability and convergence of the scheme are proved.

Tags: convergence; finite volumes; implicit Euler scheme; linearized shallow water equations; stability