Parallel methods and higher dimensional NLS equations
From MaRDI portal
Publication:2015666
DOI10.1155/2013/497439zbMath1291.65265OpenAlexW2088506018WikidataQ58916909 ScholiaQ58916909MaRDI QIDQ2015666
Publication date: 23 June 2014
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/497439
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Parallel numerical computation (65Y05)
Related Items
Fourth-order time-stepping compact finite difference method for multi-dimensional space-fractional coupled nonlinear Schrödinger equations ⋮ Analytic study on the mixed-type solitons for a \((2+1)\)-dimensional \(N\)-coupled nonlinear Schrödinger system in nonlinear optical-fiber communication ⋮ A fourth order finite difference method for the good Boussinesq equation
Cites Work
- Unnamed Item
- Unnamed Item
- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- High-order compact ADI (HOC-ADI) method for solving unsteady 2D Schrödinger equation
- Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations
- 1-soliton solution of \(1 + 2\) dimensional nonlinear Schrödinger's equation in power law media
- Numerical solution of coupled nonlinear Schrödinger equation by Galerkin method
- Parallel Dichotomy Algorithm for solving tridiagonal system of linear equations with multiple right-hand sides
- High order ADI method for solving unsteady convection-diffusion problems
- Spectral-like resolution compact ADI finite difference method for the multi-dimensional Schrödinger equations
- Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrödinger equation
- A fourth-order explicit schemes for the coupled nonlinear Schrödinger equation
- A high-order Padé ADI method for unsteady convection-diffusion equations
- Numerical studies for nonlinear Schrödinger equations: the Schrödinger–Poisson-Xα model and Davey–Stewartson systems
- Interactions of bright solitons for the (2+1)-dimensional coupled nonlinear Schrödinger equations from optical fibres with symbolic computation
- Highly accurate finite difference method for coupled nonlinear Schrödinger equation
- Numerical simulation of coupled nonlinear Schrödinger equation