UM  > Faculty of Science and Technology
Strang-type preconditioners for solving system of ODEs by boundary value methods
Raymond H Chan1; Xiao-Qing Jin2; Yue-Hung Tam1
2002
Source PublicationElectronic Journal of Mathematical and Physical Sciences
ISSN1538-263X
Volume1Pages:16-46
Abstract

In this paper we survey some of the latest developments in using boundary value methods for solving systems of ordinary dierential equations with initial values These methods require the solutions of one or more nonsymmetric large and sparse linear systems The GMRES method with the Strangtype preconditioner is proposed for solving these linear systems One of the main results is that if an A V1,V2 stable boundary value method is used for an m-by-m system of ODEs then the preconditioner is invertible and the preconditioned matrix can be decomposed as I+ L where I is the identity matrix and the rank of L is at most 2m(v1+v2) It follows that when the GMRES method is applied to solving the preconditioned systems the method will converge in at most 2m(v1+v2) +1 iterations Applications to dierential algebraic equations and delay differential equations are given.

Language英语
Fulltext Access
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Affiliation1.Department of Mathematics, The Chinese University of Hong Kong,Shatin,HongKong
2.Faculty of Science and Technology, University of Macau,Macau
Recommended Citation
GB/T 7714
Raymond H Chan,Xiao-Qing Jin,Yue-Hung Tam. Strang-type preconditioners for solving system of ODEs by boundary value methods[J]. Electronic Journal of Mathematical and Physical Sciences,2002,1:16-46.
APA Raymond H Chan,Xiao-Qing Jin,&Yue-Hung Tam.(2002).Strang-type preconditioners for solving system of ODEs by boundary value methods.Electronic Journal of Mathematical and Physical Sciences,1,16-46.
MLA Raymond H Chan,et al."Strang-type preconditioners for solving system of ODEs by boundary value methods".Electronic Journal of Mathematical and Physical Sciences 1(2002):16-46.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Raymond H Chan]'s Articles
[Xiao-Qing Jin]'s Articles
[Yue-Hung Tam]'s Articles
Baidu academic
Similar articles in Baidu academic
[Raymond H Chan]'s Articles
[Xiao-Qing Jin]'s Articles
[Yue-Hung Tam]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Raymond H Chan]'s Articles
[Xiao-Qing Jin]'s Articles
[Yue-Hung Tam]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.