B-convergence of general linear methods for stiff problems
Huang, CM; Chang, QS; Xiao, AG
AbstractThis paper is concerned with the numerical solution of stiff initial value problems for systems of ordinary differential equations by general linear methods. We prove that algebraic stability together with strict stability at infinity implies B-convergence for strictly dissipative systems and that the order of B-convergence of a method is equal to the generalized stage order, where the generalized stage order is not less than the stage order, which extends the relevant results on Runge-Kutta methods. As applications of this result, B-convergence results of some classes of multistep Runge-Kutta methods are obtained. (C) 2003 IMACS. Published by Elsevier B.V. All rights reserved.
Keywordstiff ordinary differential equations B-convergence general linear methods multistep Runge-Kutta methods
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000185390100002
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Document Type期刊论文
Corresponding AuthorHuang, CM
Affiliation1.Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China
2.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
3.Xiangtan Univ, Dept Math, Pune 411005, Maharashtra, India
Recommended Citation
GB/T 7714
Huang, CM,Chang, QS,Xiao, AG. B-convergence of general linear methods for stiff problems[J]. APPLIED NUMERICAL MATHEMATICS,2003,47(1):31-44.
APA Huang, CM,Chang, QS,&Xiao, AG.(2003).B-convergence of general linear methods for stiff problems.APPLIED NUMERICAL MATHEMATICS,47(1),31-44.
MLA Huang, CM,et al."B-convergence of general linear methods for stiff problems".APPLIED NUMERICAL MATHEMATICS 47.1(2003):31-44.
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