Numerical approximation of solution for the coupled nonlinear Schrödinger equations
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Publication:2013042
DOI10.1007/s10255-017-0672-3zbMath1368.65132OpenAlexW2609530569MaRDI QIDQ2013042
Publication date: 3 August 2017
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-017-0672-3
coupled nonlinear Schrödinger equationsconservationcompact finite difference schemeconvergence in maximum norm
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
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Cites Work
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- A three level linearized compact difference scheme for the Cahn-Hilliard equation
- Optimal point-wise error estimate of a compact difference scheme for the coupled Gross-Pitaevskii equations in one dimension
- On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations
- Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations
- Compact finite difference schemes with high accuracy for one-dimensional nonlinear Schrödinger equation
- A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation
- Convergence of an efficient and compact finite difference scheme for the Klein-Gordon-Zakharov equation
- Fourth-order compact solution of the nonlinear Klein-Gordon equation
- Numerical study of the soliton waves of the coupled nonlinear Schrödinger system
- High-order linear compact conservative method for the nonlinear Schrödinger equation coupled with the nonlinear Klein-Gordon equation
- Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system
- On convergence and stability of a numerical scheme of coupled nonlinear Schrödinger equations
- Highly accurate finite difference method for coupled nonlinear Schrödinger equation
- The number of cubic partitions modulo powers of 5
- Conservative compact difference schemes for the coupled nonlinear schrödinger system
- Analysis of a Fourth‐Order Scheme for a Three‐Dimensional Convection‐Diffusion Model Problem
- Numerical simulation of coupled nonlinear Schrödinger equation