Analysis of a conservative high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equation
From MaRDI portal
Publication:2000612
DOI10.1016/j.cam.2019.02.018zbMath1419.65034OpenAlexW2933539027MaRDI QIDQ2000612
Jialing Wang, Yu Shun Wang, Dong Liang
Publication date: 28 June 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2019.02.018
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (5)
High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation ⋮ High-order Lagrange multiplier method for the coupled Klein-Gordon-Schrödinger system ⋮ Efficient energy-preserving finite difference schemes for the Klein-Gordon-Schrödinger equations ⋮ Mass-, and energy preserving schemes with arbitrarily high order for the Klein-Gordon-Schrödinger equations ⋮ Efficient structure preserving schemes for the Klein-Gordon-Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- Numerical solution of the Yukawa-coupled Klein-Gordon-Schrödinger equations via a Chebyshev pseudospectral multidomain method
- Numerical simulation of interaction between Schrödinger field and Klein-Gordon field by multisymplectic method
- Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations
- Spectral method for solving the system of equations of Schrödinger- Klein-Gordon field
- On the global strong solutions of coupled Klein-Gordon-Schrödinger equations
- On coupled Klein-Gordon-Schrödinger equations. II
- On Tsertvadze's difference scheme for the Kuramoto-Tsuzuki equation
- The periodic wave solutions for the Klein-Gordon-Schrödinger equations
- The exact solitary wave solutions for the Klein-Gordon-Schrödinger equations
- Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension
- A series of new explicit exact solutions for the coupled Klein-Gordon-Schrödinger equations
- Point-wise errors of two conservative difference schemes for the Klein-Gordon-Schrödinger equation
- Multisymplectic Fourier pseudo-spectral integrators for Klein-Gordon-Schrödinger equations
- Optimal point-wise error estimate of a compact difference scheme for the Klein-Gordon-Schrödinger equation
- High-order linear compact conservative method for the nonlinear Schrödinger equation coupled with the nonlinear Klein-Gordon equation
- New energy-preserving schemes for Klein-Gordon-Schrödinger equations
- A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations
- Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations
- A conservative compact difference scheme for the coupled Klein-Gordon-Schrödinger equation
- Periodic solitary waves for two coupled nonlinear Klein–Gordon and Schr dinger equations
- Stability of stationary states for the coupled Klein — Gordon — Schrödinger equations
- 一维非线性Schrödinger 方程的两个无条件收敛的守恒紧致差分格式
This page was built for publication: Analysis of a conservative high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equation
