Diagonal and circulant or skew-circulant splitting preconditioners for spatial fractional diffusion equations
文献类型：期刊论文
| 作者 | Lu, Kang-Ya1,2 |
| 刊名 | COMPUTATIONAL & APPLIED MATHEMATICS
 |
| 出版日期 | 2018-09-01 |
| 卷号 | 37期号:4页码:4196-4218 |
| 关键词 | Circulant matrix Skew-circulant matrix Preconditioning Spatial fractional diffusion equations |
| ISSN号 | 0101-8205 |
| DOI | 10.1007/s40314-017-0570-6 |
| 英文摘要 | We propose three new preconditioners: diagonal and optimal-circulant splitting preconditioner, diagonal and skew-circulant splitting preconditioner, and diagonal and optimal-skew-circulant splitting preconditioner for solving the diagonal-plus-Toeplitz linear system discretized from the spatial fractional diffusion equations. Theoretical analysis shows that these three preconditioners can make the eigenvalues of the preconditioned matrices be clustered around 1, especially when the grids of the discretizations are refined. These results coincide with the one about the diagonal and circulant splitting preconditioner constructed recently by Bai et al. (Numer Linear Algebra Appl 24:e2093, 2017). Numerical experiments exhibit that the proposed preconditioners can significantly improve the convergence of the Krylov subspace iteration methods like GMRES and BiCGSTAB, and they outperform the diagonal and circulant splitting preconditioner as well. |
| 语种 | 英语 |
| WOS记录号 | WOS:000443034900011 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31134]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Lu, Kang-Ya |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, 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 | Lu, Kang-Ya. Diagonal and circulant or skew-circulant splitting preconditioners for spatial fractional diffusion equations[J]. COMPUTATIONAL & APPLIED MATHEMATICS,2018,37(4):4196-4218. |
| APA | Lu, Kang-Ya.(2018).Diagonal and circulant or skew-circulant splitting preconditioners for spatial fractional diffusion equations.COMPUTATIONAL & APPLIED MATHEMATICS,37(4),4196-4218. |
| MLA | Lu, Kang-Ya."Diagonal and circulant or skew-circulant splitting preconditioners for spatial fractional diffusion equations".COMPUTATIONAL & APPLIED MATHEMATICS 37.4(2018):4196-4218. |
入库方式： OAI收割
来源：数学与系统科学研究院
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