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• W2048291357 abstract "The implicit finite difference scheme with the shifted Grüwald formula for discretizing the fractional diffusion equations (FDEs) often results in the ill-conditioned non-Hermitian Toeplitz systems. In the present paper, we consider to solve such Toeplitz systems by exploiting the preconditioned GMRES method. A k-step polynomial preconditioner is designed based on the circulant and skew-circulant splitting (CSCS) iteration method proposed by Ng (2003). Theoretical and experimental results involving numerical solutions of FDEs demonstrate that the proposed k-step preconditioner is efficient to accelerate the GMRES solver for non-Hermitian Toeplitz systems." @default.
• W2048291357 created "2016-06-24" @default.
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• W2048291357 date "2015-04-01" @default.
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• W2048291357 title "On <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si43.gif display=inline overflow=scroll><mml:mi>k</mml:mi></mml:math>-step CSCS-based polynomial preconditioners for Toeplitz linear systems with application to fractional diffusion equations" @default.
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• W2048291357 doi "https://doi.org/10.1016/j.aml.2014.11.005" @default.
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