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Volume 20, Issue 3
Convergence Results of Runge-Kutta Methods for Multiply-Stiff Singular Perturbation Problems

Ai-Guo Xiao

J. Comp. Math., 20 (2002), pp. 325-336.

Published online: 2002-06

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  • Abstract

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.

  • Keywords

Singular perturbation problems, Runge-Kutta methods, Convergence, Multiple-stiffness.

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-325, author = {Xiao , Ai-Guo}, title = {Convergence Results of Runge-Kutta Methods for Multiply-Stiff Singular Perturbation Problems}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {3}, pages = {325--336}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8921.html} }
TY - JOUR T1 - Convergence Results of Runge-Kutta Methods for Multiply-Stiff Singular Perturbation Problems AU - Xiao , Ai-Guo JO - Journal of Computational Mathematics VL - 3 SP - 325 EP - 336 PY - 2002 DA - 2002/06 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8921.html KW - Singular perturbation problems, Runge-Kutta methods, Convergence, Multiple-stiffness. AB -

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.

Ai-Guo Xiao. (1970). Convergence Results of Runge-Kutta Methods for Multiply-Stiff Singular Perturbation Problems. Journal of Computational Mathematics. 20 (3). 325-336. doi:
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