Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations
文献类型：期刊论文
| 作者 | Bai, Zhong-Zhi1,2
|
| 刊名 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
 |
| 出版日期 | 2018-10-01 |
| 卷号 | 25期号:5页码:18 |
| 关键词 | convergence property HSS iteration matrix splitting preconditioning respective scaling spatial fractional diffusion equation |
| ISSN号 | 1070-5325 |
| DOI | 10.1002/nla.2157 |
| 英文摘要 | For the discrete linear systems resulted from the discretization of the one-dimensional anisotropic spatial fractional diffusion equations of variable coefficients with the shifted finite-difference formulas of the Grunwald-Letnikov type, we propose a class of respectively scaled Hermitian and skew-Hermitian splitting iteration method and establish its asymptotic convergence theory. The corresponding induced matrix splitting preconditioner, through further replacements of the involved Toeplitz matrices with certain circulant matrices, leads to an economic variant that can be executed by fast Fourier transforms. Both theoretical analysis and numerical implementations show that this fast respectively scaled Hermitian and skew-Hermitian splitting preconditioner can significantly improve the computational efficiency of the Krylov subspace iteration methods employed as effective linear solvers for the target discrete linear systems. |
| 资助项目 | National Natural Science Foundation[11671393] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000448861300008 |
| 出版者 | WILEY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31634]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Bai, Zhong-Zhi |
| 作者单位 | 1.Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, POB 2719, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, Zhong-Zhi. Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2018,25(5):18. |
| APA | Bai, Zhong-Zhi.(2018).Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,25(5),18. |
| MLA | Bai, Zhong-Zhi."Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 25.5(2018):18. |
入库方式： OAI收割
来源：数学与系统科学研究院
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