A hybrid method of fractional steps with predictor-corrector difference-pseudospectrum for numerical solution of the convection-dominated flow problems  

作　　者：王喜君 张法高 吴江航 

机构地区：[1]Department of Mechanics, Peking University. Beijing 100871, China [2]Institute of Oceanology, Chinese Academy of Sciences. Qingdao 266071, China

出　　处：《Science China Mathematics》1995年第7期838-852,共15页中国科学：数学（英文版）

基　　金：the National Natural Science Foundation of China

摘　　要：A fractional-step method of predictor-corrector difference-pseudospectrum with unconditional L2-stability and exponential convergence is presented. The stability and convergence of this method is strictly proved mathematically for a nonlinear convection-dominated flow. The error estimation is given and the superiority of this method is verified by numerical test.A fractional-step method of predictor-corrector difference-pseudospectrum with unconditional L2-stability and exponential convergence is presented. The stability and convergence of this method is strictly proved mathematically for a nonlinear convection-dominated flow. The error estimation is given and the superiority of this method is verified by numerical test.

关 键 词：CONVECTIVE DOMINATION fractional-step METHOD PREDICTOR-CORRECTOR METHOD PSEUDOSPECTRAL method. 

分 类 号：O411.1[理学—理论物理]