Explicit second-order accurate schemes for the nonlinear Schrödinger equations
From MaRDI portal
Publication:1567712
DOI10.1007/BF02465532zbMath0951.65079OpenAlexW1982725814MaRDI QIDQ1567712
Raimondas Čiegis, Olga Štikonienẹ
Publication date: 6 December 2000
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02465532
stabilityconvergenceenergy conservationnonlinear Schrödinger equationsdiscrete conservation lawsexplicit finite difference methodDuFort-Frankel method
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Unnamed Item
- Unnamed Item
- Finite-difference solutions of a non-linear Schrödinger equation
- On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation
- A numerical study of the nonlinear Schrödinger equation involving quintic terms
- On the convergence in \(C\) norm of symmetric difference schemes for nonlinear evolution problems
- Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation
- Stability and convergence of Dufort-Frankel-type difference schemes for a nonlinear Schrödinger-type equation
- Conerservative and Nonconservative Schemes for the Solution of the Nonlinear Schrödinger Equation
- Stability Analysis of Difference Schemes for Variable Coefficient Schrödinger Type Equations
- An Unconditionally Stable Three-Level Explicit Difference Scheme for the Schrödinger Equation with a Variable Coefficient
- Dufort–Frankel-Type Methods for Linear and Nonlinear Schrödinger Equations