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Article: Fast iterative solvers for linear systems arising from time-dependent space-fractional diffusion equations
Title | Fast iterative solvers for linear systems arising from time-dependent space-fractional diffusion equations |
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Authors | |
Keywords | Iterative methods Preconditioners Fractional diffusion equations Spectral analysis Local mass conservative form |
Issue Date | 2016 |
Citation | SIAM Journal on Scientific Computing, 2016, v. 38, n. 5, p. A2806-A2826 How to Cite? |
Abstract | © 2016 Society for Industrial and Applied Mathematics. In this paper, we study the linear systems arising from the discretization of timedependent space-fractional diffusion equations. By using a finite difference discretization scheme for the time derivative and a finite volume discretization scheme for the space-fractional derivative, Toeplitz-like linear systems are obtained. We propose using the approximate inverse-circulant preconditioner to deal with such Toeplitz-like matrices, and we show that the spectra of the corresponding preconditioned matrices are clustered around 1. Experimental results on time-dependent and space-fractional diffusion equations are presented to demonstrate that the preconditioned Krylov subspace methods converge very quickly. |
Persistent Identifier | http://hdl.handle.net/10722/277038 |
ISSN | 2023 Impact Factor: 3.0 2023 SCImago Journal Rankings: 1.803 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Pan, Jianyu | - |
dc.contributor.author | Ng, Michael K. | - |
dc.contributor.author | Wang, Hong | - |
dc.date.accessioned | 2019-09-18T08:35:24Z | - |
dc.date.available | 2019-09-18T08:35:24Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | SIAM Journal on Scientific Computing, 2016, v. 38, n. 5, p. A2806-A2826 | - |
dc.identifier.issn | 1064-8275 | - |
dc.identifier.uri | http://hdl.handle.net/10722/277038 | - |
dc.description.abstract | © 2016 Society for Industrial and Applied Mathematics. In this paper, we study the linear systems arising from the discretization of timedependent space-fractional diffusion equations. By using a finite difference discretization scheme for the time derivative and a finite volume discretization scheme for the space-fractional derivative, Toeplitz-like linear systems are obtained. We propose using the approximate inverse-circulant preconditioner to deal with such Toeplitz-like matrices, and we show that the spectra of the corresponding preconditioned matrices are clustered around 1. Experimental results on time-dependent and space-fractional diffusion equations are presented to demonstrate that the preconditioned Krylov subspace methods converge very quickly. | - |
dc.language | eng | - |
dc.relation.ispartof | SIAM Journal on Scientific Computing | - |
dc.subject | Iterative methods | - |
dc.subject | Preconditioners | - |
dc.subject | Fractional diffusion equations | - |
dc.subject | Spectral analysis | - |
dc.subject | Local mass conservative form | - |
dc.title | Fast iterative solvers for linear systems arising from time-dependent space-fractional diffusion equations | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1137/15M1030273 | - |
dc.identifier.scopus | eid_2-s2.0-84994099895 | - |
dc.identifier.volume | 38 | - |
dc.identifier.issue | 5 | - |
dc.identifier.spage | A2806 | - |
dc.identifier.epage | A2826 | - |
dc.identifier.eissn | 1095-7197 | - |
dc.identifier.isi | WOS:000387347700057 | - |
dc.identifier.issnl | 1064-8275 | - |