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

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

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

Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg–Landau equations

(2019) Wei Zeng et al.   APPLIED MATHEMATICS LETTERS

Galerkin‐Legendre spectral method for the nonlinear Ginzburg‐Landau equation with the Riesz fractional derivative

(2019) Mingfa Fei et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

A linearized Crank–Nicolson Galerkin FEMs for the nonlinear fractional Ginzburg–Landau equation

(2018) Zongbiao Zhang et al.   APPLICABLE ANALYSIS

Well-posedness of the fractional Ginzburg–Landau equation

(2018) Xian-Ming Gu et al.   APPLICABLE ANALYSIS

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

Soliton solutions of fractional complex Ginzburg–Landau equation with Kerr law and non-Kerr law media

(2018) Saima Arshed   OPTIK

Fast and high-order numerical algorithms for the solution of multidimensional nonlinear fractional Ginzburg-Landau equation

(2018) Akbar Mohebbi   European Physical Journal Plus

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

The well-posedness for fractional nonlinear Schrödinger equations

(2018) Li Peng et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Split-step alternating direction implicit difference scheme for the fractional Schrödinger equation in two dimensions

(2016) Pengde Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation

(2016) Pengde Wang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

An implicit midpoint difference scheme for the fractional Ginzburg–Landau equation

(2016) Pengde Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A linearized high-order difference scheme for the fractional Ginzburg-Landau equation

(2016) Zhao-peng Hao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Dynamics of the 3-D fractional complex Ginzburg–Landau equation

(2015) Hong Lu et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Random attractors for the stochastic coupled fractional Ginzburg-Landau equation with additive noise

(2015) Ji Shu et al.   JOURNAL OF MATHEMATICAL PHYSICS

Fractional Diffusion on Bounded Domains

(2015) Ozlem Defterli et al.   Fractional Calculus and Applied Analysis

On a Fractional Ginzburg–Landau Equation and 1/2-Harmonic Maps into Spheres

(2014) Vincent Millot et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

(2014) Fanhai Zeng et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation

(2014) Xuan Zhao et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Numerical Study of Quantized Vortex Interaction in the Ginzburg-Landau Equation on Bounded Domains

(2013) Weizhu Bao et al.   Communications in Computational Physics

Well-posedness of fractional Ginzburg–Landau equation in Sobolev spaces

(2012) Jingna Li et al.   APPLICABLE ANALYSIS

On the Continuum Limit for Discrete NLS with Long-Range Lattice Interactions

(2012) Kay Kirkpatrick et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

(2012) Qiang Du et al.   SIAM REVIEW

Well-posedness and dynamics for the fractional Ginzburg-Landau equation

(2011) Xueke Pu et al.   APPLICABLE ANALYSIS

Crank–Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

(2011) Cem Çelik et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation

(2010) Boling Guo et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation

(2009) Georg Kitzhofer et al.   BIT NUMERICAL MATHEMATICS

On the Time Splitting Spectral Method for the Complex Ginzburg–Landau Equation in the Large Time and Space Scale Limit

(2008) Pierre Degond et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING