DOI10.1016/j.amc.2014.11.026zbMath1339.65137OpenAlexW2088217578MaRDI QIDQ299961
Dongling Wang, Wei Yang, Ai-Guo Xiao
Publication date: 23 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.11.026
An hp-version spectral collocation method for multi-term nonlinear fractional initial value problems with variable-order fractional derivatives,
Conservative difference scheme for fractional Zakharov system and convergence analysis,
Fourier spectral method on sparse grids for computing ground state of many-particle fractional Schrödinger equations,
The Hamiltonian structure and fast energy-preserving algorithms for the fractional Klein-Gordon equation,
A medium-shifted splitting iteration method for a diagonal-plus-Toeplitz linear system from spatial fractional Schrödinger equations,
Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation,
Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation,
A linearized conservative Galerkin-Legendre spectral method for the strongly coupled nonlinear fractional Schrödinger equations,
High-order conservative scheme for the coupled space fractional nonlinear Schrödinger equations,
An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations,
Fourth-order time-stepping compact finite difference method for multi-dimensional space-fractional coupled nonlinear Schrödinger equations,
High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach,
Finite difference/finite element method for tempered time fractional advection-dispersion equation with fast evaluation of Caputo derivative,
A conservative difference scheme with optimal pointwise error estimates for two‐dimensional space fractional nonlinear Schrödinger equations,
Symplectic‐preserving Fourier spectral scheme for space fractional<scp>Klein–Gordon–Schrödinger</scp>equations,
Error estimates of structure‐preserving Fourier pseudospectral methods for the fractional Schrödinger equation,
A three-level linearized difference scheme for nonlinear Schrödinger equation with absorbing boundary conditions,
On the L∞ convergence of a conservative Fourier pseudo‐spectral method for the space fractional nonlinear Schrödinger equation,
Two fast and unconditionally stable finite difference methods for Riesz fractional diffusion equations with variable coefficients,
An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations,
Two novel conservative exponential relaxation methods for the space-fractional nonlinear Schrödinger equation,
An efficient fourth-order accurate conservative scheme for Riesz space fractional Schrödinger equation with wave operator,
Two novel energy dissipative difference schemes for the strongly coupled nonlinear space fractional wave equations with damping,
Linearized Crank-Nicolson scheme for the nonlinear time-space fractional Schrödinger equations,
Efficient eighth‐order accurate energy‐preserving compact difference schemes for the coupled Schrödinger–Boussinesq equations,
Fractional centered difference schemes and banded preconditioners for nonlinear Riesz space variable-order fractional diffusion equations,
High-order schemes for the fractional coupled nonlinear Schrödinger equation,
A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations,
A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations,
Efficient linear energy dissipative difference schemes for the coupled nonlinear damped space fractional wave equations,
A split-step Fourier pseudo-spectral method for solving the space fractional coupled nonlinear Schrödinger equations,
Numerical analysis of a fourth-order linearized difference method for nonlinear time-space fractional Ginzburg-Landau equation,
On Preconditioners Based on HSS for the Space Fractional CNLS Equations,
A conservative difference scheme for the Riesz space-fractional sine-Gordon equation,
A new numerical approach for single rational soliton solution of <scp>C</scp>hen‐<scp>L</scp>ee‐<scp>L</scp>iu equation with <scp>R</scp>iesz fractional derivative in optical fibers,
A fourth-order conservative difference scheme for the Riesz space-fractional sine-Gordon equations and its fast implementation,
A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach,
On HSS-like iteration method for the space fractional coupled nonlinear Schrödinger equations,
An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg-Landau equations,
A finite difference scheme for semilinear space-fractional diffusion equations with time delay,
On partially inexact HSS iteration methods for the complex symmetric linear systems in space fractional CNLS equations,
Fully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion Equations,
A New Energy-Preserving Scheme for the Fractional Klein-Gordon-Schrodinger Equations,
A Linearized Difference Scheme for Time-Fractional Sine-Gordon Equation,
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An unconditionally stable linearized difference scheme for the fractional Ginzburg-Landau equation,
Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation,
Parallel-in-time multigrid for space-time finite element approximations of two-dimensional space-fractional diffusion equations,
Split-step alternating direction implicit difference scheme for the fractional Schrödinger equation in two dimensions,
Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations,
Conservative linearly-implicit difference scheme for a class of modified Zakharov systems with high-order space fractional quantum correction,
Symplectic scheme for the Schrödinger equation with fractional Laplacian,
An efficient block Gauss-Seidel iteration method for the space fractional coupled nonlinear Schrödinger equations,
An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg-Landau equation,
Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations,
Uniform convergence of compact and BDF methods for the space fractional semilinear delay reaction-diffusion equations,
An efficient energy-preserving method for the two-dimensional fractional Schrödinger equation,
A Newton linearized Crank-Nicolson method for the nonlinear space fractional Sobolev equation,
A linearized Crank–Nicolson Galerkin FEMs for the nonlinear fractional Ginzburg–Landau equation,
Regularized splitting spectral method for space-fractional logarithmic Schrödinger equation,
A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations,
Energy preserving relaxation method for space-fractional nonlinear Schrödinger equation,
A Schwarz waveform relaxation method for time-dependent space fractional Schrödinger/heat equations,
Preconditioned modified Hermitian and skew-Hermitian splitting iteration methods for fractional nonlinear Schrödinger equations,
A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator,
Structure preserving fourth-order difference scheme for the nonlinear spatial fractional Schrödinger equation in two dimensions,
A fourth-order linearized difference scheme for the coupled space fractional Ginzburg-Landau equation,
A Galerkin FEM for Riesz space-fractional CNLS