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FAST ITERATIVE SOLVERS FOR LINEAR SYSTEMS ARISING FROM TIME-DEPENDENT SPACE-FRACTIONAL DIFFUSION EQUATIONS.
- Source :
- SIAM Journal on Scientific Computing; 2016, Vol. 38 Issue 5, pA2806-A2826, 21p
- Publication Year :
- 2016
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10648275
- Volume :
- 38
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Scientific Computing
- Publication Type :
- Academic Journal
- Accession number :
- 119256334
- Full Text :
- https://doi.org/10.1137/15M1030273