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| Finite Volume Multilevel Approximation of the Shallow Water Equations |
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Citation： |
Arthur BOUSQUET,Martine MARION,Roger TEMAM.Finite Volume Multilevel Approximation of the Shallow Water Equations[J].Chinese Annals of Mathematics B,2013,34(1):1~28 |
| Page view： 2170
Net amount： 1488 |
Authors： |
Arthur BOUSQUET; Martine MARION; Roger TEMAM; |
Foundation： |
National Science Foundation (Nos. DMS 0906440, DMS 1206438) and the Research Fund of Indiana University |
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| 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 |
Classification： |
65M60, 65N21, 65N99 |
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