KMS Of Academy of mathematics and systems sciences, CAS
| On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations | |
| Bai, Zhong-Zhi1,2; Lu, Kang-Ya3 | |
| 2020 | |
| Source Publication | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
 |
| ISSN | 1070-5325 |
| Volume | 27Issue:1Pages:21 |
| Abstract | The shifted finite-difference discretization of the one-dimensional almost-isotropic spatial fractional diffusion equation results in a discrete linear system whose coefficient matrix is a sum of two diagonal-times-Toeplitz matrices. For this kind of linear systems, we propose a class of regularized Hermitian splitting iteration methods and prove its asymptotic convergence under mild conditions. For appropriate circulant-based approximation to the corresponding regularized Hermitian splitting preconditioner, we demonstrate that the induced fast regularized Hermitian splitting preconditioner possesses a favorable preconditioning property. Numerical results show that, when used to precondition Krylov sub-space iteration methods such as generalized minimal residual and biconjugate gradient stabilized methods, the fast preconditioner significantly outperforms several existing ones. |
| Keyword | convergence property matrix splitting iteration preconditioning spatial fractional diffusion equation |
| DOI | 10.1002/nla.2274 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11671393] ; National Natural Science Foundation of China[11911530082] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000535359300005 |
| Publisher | WILEY |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51546 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Bai, Zhong-Zhi |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, POB 2719, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 3.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing, Peoples R China |
| Recommended Citation GB/T 7714 | Bai, Zhong-Zhi,Lu, Kang-Ya. On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2020,27(1):21. |
| APA | Bai, Zhong-Zhi,&Lu, Kang-Ya.(2020).On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,27(1),21. |
| MLA | Bai, Zhong-Zhi,et al."On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 27.1(2020):21. |
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