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• W2492699913 abstract "In this paper, an implicit finite difference scheme with the shifted Grünwald formula, which is unconditionally stable, is used to discretize the fractional diffusion equations with constant diffusion coefficients. The coefficient matrix possesses the Toeplitz structure and the fast Toeplitz matrix-vector product can be utilized to reduce the computational complexity from [Formula: see text] to [Formula: see text], where N is the number of grid points. Two preconditioned iterative methods, named bi-conjugate gradient method for Toeplitz matrix and bi-conjugate residual method for Toeplitz matrix, are proposed to solve the relevant discretized systems. Finally, numerical experiments are reported to show the effectiveness of our preconditioners." @default.
• W2492699913 created "2016-08-23" @default.
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• W2492699913 date "2016-07-19" @default.
• W2492699913 modified "2023-10-08" @default.
• W2492699913 title "Fast permutation preconditioning for fractional diffusion equations" @default.
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• W2492699913 doi "https://doi.org/10.1186/s40064-016-2766-4" @default.
• W2492699913 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/4949200" @default.
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