Finite Volume Multilevel Approximation of the Shallow Water Equations with a Time Explicit Scheme

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Volume 11, Issue 4

A. Bousquet, M. Marion & R. Temam

Int. J. Numer. Anal. Mod., 11 (2014), pp. 762-786.

Published online: 2014-11

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Abstract

We consider a simple advection equation in space dimension one and the linearized shallow water equations in space dimension two and describe and implement two different multilevel finite volume discretizations in the context of the utilization of the incremental methods with time explicit or semi-explicit schemes.

Keywords

finite volume methods, multilevel methods, Euler explicit schemes, shallow water equations, stability analysis.

AMS Subject Headings

35R35, 49J40, 60G40

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@Article{IJNAM-11-762, author = {A. Bousquet, M. Marion and R. Temam}, title = {Finite Volume Multilevel Approximation of the Shallow Water Equations with a Time Explicit Scheme}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2014}, volume = {11}, number = {4}, pages = {762--786}, abstract = {

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/551.html} }

TY - JOUR T1 - Finite Volume Multilevel Approximation of the Shallow Water Equations with a Time Explicit Scheme AU - A. Bousquet, M. Marion & R. Temam JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 762 EP - 786 PY - 2014 DA - 2014/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/551.html KW - finite volume methods, multilevel methods, Euler explicit schemes, shallow water equations, stability analysis. AB -

A. Bousquet, M. Marion and R. Temam. (2014). Finite Volume Multilevel Approximation of the Shallow Water Equations with a Time Explicit Scheme. International Journal of Numerical Analysis and Modeling. 11 (4). 762-786. doi:

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