Convergence Results of One-Leg and Linear Multistep Methods for Multiply Stiff Singular Perturbation Problems |
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| Authors: | Aiguo Xiao Chengming Huang Siqing Gan |
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| Affiliation: | (1) Department of Mathematics Xiangtan University, Xiangtan Hunan 411105, P.R. China e-mail: xiaoag@xtu.edu.cn, CN;(2) Institute of Applied Mathematics Academy of Mathematics and Systems Sciences Academia Sinica, P.O. Box 2734 Beijing 100080, P.R. China e-mail: chengming_huang@hotmail.com, CN;(3) Institute of Mathematics Academy of Mathematics and Systems Sciences Academia Sinica, Beijing 100080, P.R. China e-mail: gan@math03.math.ac.cn, CN |
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| Abstract: | One-leg methods and linear multistep methods are two class of important numerical methods applied to stiff initial value problems of ordinary differential equations. The purpose of this paper is to present some convergence results of A-stable one-leg and linear multistep methods for one-parameter multiply stiff singular perturbation problems and their corresponding reduced problems which are a class of stiff differential-algebraic equations. Received April 14, 2000; revised June 30, 2000 |
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| Keywords: | AMS Subject Classification: 65L05. |
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