Lopsided scaled HSS preconditioner for steady-state space-fractional diffusion equations

Fang Chen; Tian-Yi Li; Galina V. Muratova

doi:10.1007/s10092-021-00419-4

Lopsided scaled HSS preconditioner for steady-state space-fractional diffusion equations

CALCOLO ◽

10.1007/s10092-021-00419-4 ◽

2021 ◽

Vol 58 (2) ◽

Author(s):

Fang Chen ◽

Tian-Yi Li ◽

Galina V. Muratova

Keyword(s):

Steady State ◽

State Space ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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Fast modified scaled HSS preconditioner for steady-state space-fractional diffusion equations

Applied Mathematics Letters ◽

10.1016/j.aml.2019.106068 ◽

2020 ◽

Vol 101 ◽

pp. 106068 ◽

Cited By ~ 1

Author(s):

Kang-Ya Lu ◽

Cun-Qiang Miao

Keyword(s):

Steady State ◽

State Space ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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A superfast-preconditioned iterative method for steady-state space-fractional diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2012.07.045 ◽

2013 ◽

Vol 240 ◽

pp. 49-57 ◽

Cited By ~ 77

Author(s):

Hong Wang ◽

Ning Du

Keyword(s):

Steady State ◽

Iterative Method ◽

State Space ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Preconditioned Iterative

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Fast and improved scaled HSS preconditioner for steady-state space-fractional diffusion equations

Numerical Algorithms ◽

10.1007/s11075-020-00982-x ◽

2020 ◽

Author(s):

Fang Chen ◽

Tian-Yi Li

Keyword(s):

Steady State ◽

State Space ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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Fast preconditioned iterative methods for finite volume discretization of steady-state space-fractional diffusion equations

Numerical Algorithms ◽

10.1007/s11075-016-0143-6 ◽

2016 ◽

Vol 74 (1) ◽

pp. 153-173 ◽

Cited By ~ 14

Author(s):

Jianyu Pan ◽

Michael Ng ◽

Hong Wang

Keyword(s):

Steady State ◽

State Space ◽

Iterative Methods ◽

Finite Volume ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Finite Volume Discretization ◽

Preconditioned Iterative ◽

Preconditioned Iterative Methods

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Accuracy of Finite Element Methods for Boundary-Value Problems of Steady-State Fractional Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-016-0196-7 ◽

2016 ◽

Vol 70 (1) ◽

pp. 429-449 ◽

Cited By ~ 17

Author(s):

Hong Wang ◽

Danping Yang ◽

Shengfeng Zhu

Keyword(s):

Finite Element ◽

Steady State ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Boundary Value ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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On circulant and skew-circulant preconditioned Krylov methods for steady-state Riesz spatial fractional diffusion equations

Linear and Multilinear Algebra ◽

10.1080/03081087.2019.1617230 ◽

2019 ◽

pp. 1-13

Author(s):

Mu-Zheng Zhu ◽

Ya-E Qi ◽

Guo-Feng Zhang

Keyword(s):

Steady State ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Krylov Methods ◽

Fractional Diffusion Equations ◽

Skew Circulant

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A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.10.015 ◽

2021 ◽

Vol 160 ◽

pp. 331-348

Author(s):

Jun Liu ◽

Chen Zhu ◽

Yanping Chen ◽

Hongfei Fu

Keyword(s):

Collocation Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Spline Collocation ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Fractional Diffusion Equations ◽

Liouville Space ◽

Quadratic Spline Collocation

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An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107270 ◽

2021 ◽

pp. 107270

Author(s):

Xian-Ming Gu ◽

Hai-Wei Sun ◽

Yong-Liang Zhao ◽

Xiangcheng Zheng

Keyword(s):

Difference Scheme ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Variable Order ◽

Implicit Difference Scheme ◽

Fractional Diffusion Equations ◽

Type Variable ◽

Time Invariant

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An efficient multigrid solver for two-dimensional spatial fractional diffusion equations with variable coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126091 ◽

2021 ◽

Vol 402 ◽

pp. 126091

Author(s):

Kejia Pan ◽

Hai-Wei Sun ◽

Yuan Xu ◽

Yufeng Xu

Keyword(s):

Fractional Diffusion ◽

Variable Coefficients ◽

Diffusion Equations ◽

Two Dimensional ◽

Multigrid Solver ◽

Fractional Diffusion Equations

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Circulant-based approximate inverse preconditioners for a class of fractional diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.01.007 ◽

2021 ◽

Vol 85 ◽

pp. 18-29

Author(s):

Hong-Kui Pang ◽

Hai-Hua Qin ◽

Hai-Wei Sun ◽

Ting-Ting Ma

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Approximate Inverse ◽

Fractional Diffusion Equations

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