Convergence Results Of Runge-Kutta Methods For Multiply-Stiff Singular Perturbation Problems
Ai Guo Xiao 11 Department of Mathematics, Xiangtan University, Xiangtan 411105, China
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.