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Convergence of linear multistep methods for two-parameter singular perturbation problems |
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| Authors: | Xiao Aiguo Li Shoufu Fu Hongyuan Chen Guangnan |
| Institution: | (1) Department of Mathematics, Xiangtan University, 411105 Xiangtan, China;(2) Institute of Applied Physics and Computational Mathematics, 100088 Beijing, China;(3) Present address: ICMSEC, Academy of Mathematics and Systems Sciences, Chnese Academy of Sciences, 100080 Beijing, China |
| Abstract: | Some convergence results are given for A(a)-stable linear multistep methods applied to two classes of two-parameter singular perturbation problems, which extend the existing relevant results about one-parameter problems by Lubich~1]. Some numerical examples confirm our results. |
| Keywords: | Singular perturbation problems linear multistep methods convergence |
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