Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations

Investigation of the fractional diffusion equation based on generalized integral quadrature technique

(2015) Kambiz Razminia et al.   APPLIED MATHEMATICAL MODELLING

Motivations and realizations of Krylov subspace methods for large sparse linear systems

(2015) Zhong-Zhi Bai   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Preconditioning

(2015) A. J. Wathen   ACTA NUMERICA

Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations

(2014) Jianyu Pan et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A circulant preconditioner for fractional diffusion equations

(2013) Siu-Long Lei et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Preconditioned iterative methods for fractional diffusion equation

(2013) Fu-Rong Lin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fractional Poisson processes and their representation by infinite systems of ordinary differential equations

(2013) Markus Kreer et al.   STATISTICS & PROBABILITY LETTERS

An O(N log2N) alternating-direction finite difference method for two-dimensional fractional diffusion equations

(2011) Hong Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A fast characteristic finite difference method for fractional advection–diffusion equations

(2010) Kaixin Wang et al.   ADVANCES IN WATER RESOURCES

A direct O(Nlog2N) finite difference method for fractional diffusion equations

(2010) Hong Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Approximate Inverse Circulant-plus-Diagonal Preconditioners for Toeplitz-plus-Diagonal Matrices

(2010) Michael K. Ng et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Matrix approach to discrete fractional calculus II: Partial fractional differential equations

(2009) Igor Podlubny et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On inexact hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems

(2007) Zhong-Zhi Bai et al.   LINEAR ALGEBRA AND ITS APPLICATIONS