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Volume 11, Issue 4
Finite Volume Multilevel Approximation of the Shallow Water Equations with a Time Explicit Scheme

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.

  • AMS Subject Headings

35R35, 49J40, 60G40

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-11-762, author = {}, 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 = {

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.

}, 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 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 -

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.

A. Bousquet, M. Marion & R. Temam. (1970). 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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