Finite Volume Multilevel Approximation of the Shallow Water Equations
Finite Volume Multilevel Approximation of the Shallow Water Equations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.