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Strang-type preconditioners for solving linear systems from neutral delay differential equations
Bai Z.-J.1; Jin X.-Q.2; Song L.-L.2
2003-07-04
Source PublicationCalcolo
ISSN00080624
Volume40Issue:1Pages:21-31
Abstract

We study the solution of neutral delay differential equations (ND-DEs) by using boundary value methods (BVMs). The BVMs require the solution of nonsymmetric, large and sparse linear systems. The GMRES method with Strang-type block-circulant preconditioner is proposed to solve these linear systems. We show that, if an A-stable BVM is used for solving a system of NDDEs, then our preconditioner is invertible and the spectrum of the preconditioned system is clustered. It follows that, when the GMRES method is applied to the preconditioned systems, the method can converge rapidly. Numerical results are given to show that our method is effective.

DOI10.1007/s100920300001
URLView the original
Indexed BySCI
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000181889300002
PublisherSPRINGER-VERLAG
Fulltext Access
Citation statistics
Cited Times [WOS]:5   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Department of Mathematics, Chinese University of Hong Kong, Hong Kong, China
2.Department of Mathematics, University of Macau, Macau, China
Recommended Citation
GB/T 7714
Bai Z.-J.,Jin X.-Q.,Song L.-L.. Strang-type preconditioners for solving linear systems from neutral delay differential equations[J]. Calcolo,2003,40(1):21-31.
APA Bai Z.-J.,Jin X.-Q.,&Song L.-L..(2003).Strang-type preconditioners for solving linear systems from neutral delay differential equations.Calcolo,40(1),21-31.
MLA Bai Z.-J.,et al."Strang-type preconditioners for solving linear systems from neutral delay differential equations".Calcolo 40.1(2003):21-31.
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