Fast iterative solvers for the two-dimensional spatial fractional Ginzburg–Landau equations

Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation

(2021) Qifeng Zhang et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Exponential Runge–Kutta Method for Two-Dimensional Nonlinear Fractional Complex Ginzburg–Landau Equations

(2020) Lu Zhang et al.   JOURNAL OF SCIENTIFIC COMPUTING

Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg–Landau equation

(2020) Qifeng Zhang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Fast exponential time differencing/spectral-Galerkin method for the nonlinear fractional Ginzburg–Landau equation with fractional Laplacian in unbounded domain

(2020) Pengde Wang   APPLIED MATHEMATICS LETTERS

A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg–Landau equations

(2020) Qifeng Zhang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Fast iterative solvers and simulation for the space fractional Ginzburg–Landau equations

(2019) Min Zhang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Pointwise error estimates of a linearized difference scheme for strongly coupled fractional Ginzburg‐Landau equations

(2019) Kejia Pan et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations

(2019) Zhong-Zhi Bai et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg–Landau equation

(2018) Pengde Wang et al.   BIT NUMERICAL MATHEMATICS

An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg–Landau equations

(2018) Nan Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

An unconditionally stable linearized difference scheme for the fractional Ginzburg-Landau equation

(2018) Dongdong He et al.   NUMERICAL ALGORITHMS

An efficient difference scheme for the coupled nonlinear fractional Ginzburg-Landau equations with the fractional Laplacian

(2018) Meng Li et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

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

(2017) Zhong-Zhi Bai et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

On Preconditioners Based on HSS for the Space Fractional CNLS Equations

(2017) Yu-Hong Ran et al.   East Asian Journal on Applied Mathematics

Preconditioned GSOR iterative method for a class of complex symmetric system of linear equations

(2015) Davod Hezari et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems

(2012) Z.-Z. Bai et al.   IMA JOURNAL OF NUMERICAL ANALYSIS