UM  > 科技學院
Circulant preconditioners for a kind of spatial fractional diffusion equations
Zhi-Wei Fang1; Michael K. Ng2; ·Hai-Wei Sun3
2018
Source PublicationNumerical Algorithms
ISSN1017-1398
Abstract

In this paper, circulant preconditioners are studied for discretized matrices arising from finite difference schemes for a kind of spatial fractional diffusion equations. The fractional differential operator is comprised of left-sided and right-sided derivatives with order in ( 1 2 , 1). The resulting discretized matrices preserve Toeplitz-like structure and hence their matrix-vector multiplications can be computed efficiently by the fast Fourier transform. Theoretically, the spectra of the circulant preconditioned matrices are shown to be clustered around 1 under some conditions. Numerical experiments are presented to demonstrate that the preconditioning technique is very efficient.

KeywordFractional Diffusion Equation Fast Fourier Transform Krylov Subspace Methods Toeplitz Matrix Circulant Preconditioner
DOIhttps://doi.org/10.1007/s11075-018-0623-y
Language英语
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding Author·Hai-Wei Sun
Affiliation1.School of Mathematics and Big Data, Foshan University, Foshan, Guangdong, China
2.Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
3.Department of Mathematics, University of Macau, Taipa, Macao
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Zhi-Wei Fang,Michael K. Ng,·Hai-Wei Sun. Circulant preconditioners for a kind of spatial fractional diffusion equations[J]. Numerical Algorithms,2018.
APA Zhi-Wei Fang,Michael K. Ng,&·Hai-Wei Sun.(2018).Circulant preconditioners for a kind of spatial fractional diffusion equations.Numerical Algorithms.
MLA Zhi-Wei Fang,et al."Circulant preconditioners for a kind of spatial fractional diffusion equations".Numerical Algorithms (2018).
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Zhi-Wei Fang]'s Articles
[Michael K. Ng]'s Articles
[·Hai-Wei Sun]'s Articles
Baidu academic
Similar articles in Baidu academic
[Zhi-Wei Fang]'s Articles
[Michael K. Ng]'s Articles
[·Hai-Wei Sun]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Zhi-Wei Fang]'s Articles
[Michael K. Ng]'s Articles
[·Hai-Wei Sun]'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.