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

A linearized energy–conservative finite element method for the nonlinear Schrödinger equation with wave operator

(2019) Wentao Cai et al.   APPLIED NUMERICAL MATHEMATICS

A Positivity Preserving and Free Energy Dissipative Difference Scheme for the Poisson–Nernst–Planck System

(2019) Dongdong He et al.   JOURNAL OF SCIENTIFIC COMPUTING

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

(2018) Pengde Wang et al.   BIT NUMERICAL MATHEMATICS

A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

(2018) Meng Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

Maximum norm error analysis of an unconditionally stable semi-implicit scheme for multi-dimensional Allen-Cahn equations

(2018) Dongdong He et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Localized numerical impulse solutions in diffuse neural networks modeled by the complex fractional Ginzburg–Landau equation

(2016) Alain Mvogo et al.   Communications in Nonlinear Science and Numerical Simulation

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

An energy conservative difference scheme for the nonlinear fractional Schrödinger equations

(2015) Pengde Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

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

A class of second order difference approximations for solving space fractional diffusion equations

(2015) WenYi Tian et al.   MATHEMATICS OF COMPUTATION

Modulational instability regions for coupled Ginzburg-Landau equations with higher order of nonlinearities

(2015) Gholam-Ali Zakeri et al.   PHYSICAL REVIEW E

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 three-level linearized compact difference scheme for the Ginzburg-Landau equation

(2014) Zhao-Peng Hao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

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

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

Crank–Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative

(2013) Dongling Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Convergence analysis of a linearized Crank-Nicolson scheme for the two-dimensional complex Ginzburg-Landau equation

(2013) Ya-nan Zhang et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Quasi-Compact Finite Difference Schemes for Space Fractional Diffusion Equations

(2012) Han Zhou et al.   JOURNAL OF SCIENTIFIC COMPUTING

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

Long Time Behavior of Difference Approximations for the Two-Dimensional Complex Ginzburg–Landau Equation

(2010) Lei Zhang   NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation

(2010) Tingchun Wang et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

(2009) Q. Yang et al.   APPLIED MATHEMATICAL MODELLING

Global well-posedness for the generalized 2D Ginzburg–Landau equation

(2009) Zhaohui Huo et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Difference methods for computing the Ginzburg-Landau equation in two dimensions

(2009) Qiubin Xu et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

The attractor of the stochastic generalized Ginzburg-Landau equation

(2008) BoLing Guo et al.   Science in China. Series A, Mathematics, physics, astronomy

Modulational instability in linearly coupled complex cubic–quintic Ginzburg–Landau equations

(2007) K. Porsezian et al.   CHAOS SOLITONS & FRACTALS