CONVERGENCE RESULTS OF RUNGE-KUTTA METHODS FOR MULTIPLY-STIFF SINGULAR PERTURBATION PROBLEMS  

作　　者：Ai-guo Xiao (Department of Mathematics, Xiangtan University, Xiangtan 411105, China) 

出　　处：《Journal of Computational Mathematics》2002年第3期325-336,共12页计算数学（英文）

基　　金：This work is supported by National High-Tech ICF Committee in China ; Scientific Research Fund of Hunan Provincial Education Department.

摘　　要：Presents information on a study which provided convergence results for algebraically stable Runge-Kutta methods applied to some classes of one- and two-parameter multiply-stiff singular perturbation problems (MSPP). Discussion on one-parameter MSPP; Analysis of two-parameter MSPP; Presentation of the one-parameter MSPP with a constraint; Numerical example.Presents information on a study which provided convergence results for algebraically stable Runge-Kutta methods applied to some classes of one- and two-parameter multiply-stiff singular perturbation problems (MSPP). Discussion on one-parameter MSPP; Analysis of two-parameter MSPP; Presentation of the one-parameter MSPP with a constraint; Numerical example.

关 键 词：singular perturbation problems Runge-Kutta methods CONVERGENCE multiple-stiffness 

分 类 号：O241[理学—计算数学]