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J. Comp. Math., Volume 20. |
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Convergence Results Of Runge-Kutta Methods For Multiply-Stiff Singular Perturbation Problems Ai Guo Xiao 1 1 Department of Mathematics, Xiangtan University, Xiangtan 411105, ChinaAbstract The main purpose of this paper is to present some convergence results for algebraically stable Runge-Kutta methods applied to some classes of one- and two-parameter multiply-stiff singular perturbation problems whose stiffness is caused by small parameters and some other factors. A numerical example confirms our results.
Key words: Singular perturbation problems; Runge-Kutta methods; Convergence; Multiple-stiffness. |