Finite Volume Multilevel Approximation of the Shallow Water Equations

作     者：Arthur BOUSQUET Martine MARION Roger TEMAM 

作者机构：The Institute for Scientific Computing and Applied MathematicsIndiana University Département Mathématique InformatiqueUniversité de LyonEcole Centrale de Lyon 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2013年第34卷第1期

页      面：1-28页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Project supported by the National Science Foundation (Nos. DMS 0906440, DMS 1206438) the Research Fund of Indiana University 

主　　题：Finite-volume methods Multilevel methods Shallow water equations Stability analysis 

摘      要：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.