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Strang-type preconditioners for solving system of delay differential equations by boundary value methods
Z. Bai; R. Chan; X. Jin
2003
Source PublicationAdvances in Mathematics Research
Volume3Pages:125–140
Abstract

We study the solution of neutral delay differential equations (NDDEs) by using boundary value methods (BVMs). The BVMs require the solution of nonsymmetric, large and sparse linear systems. The GMRES method with the Strang-type block-circulant preconditioner is proposed to solve these linear systems. We show that if an Ak1,k2 -stable BVM is used for solving an m-by-m 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 could converge fast. Numerical results are given to show that our method is effective.

KeywordNdde Bvm Block-circulant Preconditioner Gmres Method
Indexed BySCI
PublisherNova Science Pub
Fulltext Access
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
AffiliationUniversity of Macau
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Z. Bai,R. Chan,X. Jin. Strang-type preconditioners for solving system of delay differential equations by boundary value methods[J]. Advances in Mathematics Research,2003,3:125–140.
APA Z. Bai,R. Chan,&X. Jin.(2003).Strang-type preconditioners for solving system of delay differential equations by boundary value methods.Advances in Mathematics Research,3,125–140.
MLA Z. Bai,et al."Strang-type preconditioners for solving system of delay differential equations by boundary value methods".Advances in Mathematics Research 3(2003):125–140.
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