High-order structure-preserving Du Fort-Frankel schemes and their analyses for the nonlinear Schrödinger equation with wave operator
From MaRDI portal
Publication:2088790
DOI10.1016/j.cam.2022.114616zbMath1502.65057OpenAlexW4286267527WikidataQ113878687 ScholiaQ113878687MaRDI QIDQ2088790
Publication date: 6 October 2022
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.2022.114616
convergenceDu Fort-Frankel difference schemesenergy- and mass-conservation lawsnonlinear Schrödinger equations with wave operator
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items
Uniform Error Bound of an Exponential Wave Integrator for Long-Time Dynamics of the Nonlinear Schrödinger Equation with Wave Operator ⋮ Explicit Richardson extrapolation methods and their analyses for solving two-dimensional nonlinear wave equation with delays
Cites Work
- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- Stability and convergence of modified Du Fort-Frankel schemes for solving time-fractional subdiffusion equations
- Two energy conserving numerical schemes for the sine-Gordon equation
- Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator
- Energy conserving local discontinuous Galerkin methods for the nonlinear Schrödinger equation with wave operator
- Inertial oscillations and the DuFort-Frankel difference scheme
- Invariant-conserving finite difference algorithms for the nonlinear Klein-Gordon equation
- A conservative numerical scheme for a class of nonlinear Schrödinger equation with wave operator.
- A new numerical scheme for the nonlinear Schrödinger equation with wave operator
- An exponential wave integrator Fourier pseudospectral method for the nonlinear Schrödinger equation with wave operator
- The DuFort-Frankel Chebyshev method for parabolic initial boundary value problems
- New analysis of the Du Fort-Frankel methods
- A Dufort-Frankel scheme for one-dimensional uncertain heat equation
- A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator
- Analysis of finite element two-grid algorithms for two-dimensional nonlinear Schrödinger equation with wave operator
- Linear high-order energy-preserving schemes for the nonlinear Schrödinger equation with wave operator using the scalar auxiliary variable approach
- Several conservative compact schemes for a class of nonlinear Schrödinger equations with wave operator
- Linearly implicit and high-order energy-conserving schemes for nonlinear wave equations
- A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator
- A linearized energy-conservative scheme for two-dimensional nonlinear Schrödinger equation with wave operator
- Multi-symplectic preserving integrator for the Schrödinger equation with wave operator
- The energy-preserving finite difference methods and their analyses for system of nonlinear wave equations in two dimensions
- A Dufort-Frankel difference scheme for two-dimensional sine-Gordon equation
- A linearized energy-conservative finite element method for the nonlinear Schrödinger equation with wave operator
- The studies of the linearly modified energy-preserving finite difference methods applied to solve two-dimensional nonlinear coupled wave equations
- Nonlinear Interactions of Counter-Travelling Waves
- A conservative difference scheme for two-dimensional nonlinear Schrödinger equation with wave operator
- Compact Crank–Nicolson and Du Fort–Frankel Method for the Solution of the Time Fractional Diffusion Equation
- Analysis of the Du Fort-Frankel method for linear systems
- An Unconditionally Stable Three-Level Explicit Difference Scheme for the Schrödinger Equation with a Variable Coefficient
- Generalized Du Fort–Frankel Methods for Parabolic Initial-Boundary Value Problems
- On Convergence and Stability of the Explicit Difference Method for Solution of Nonlinear Schrödinger Equations
- A Wigner-Measure Analysis of the Dufort--Frankel Scheme for the Schrödinger Equation
- A simple Dufort‐Frankel‐type scheme for the Gross‐Pitaevskii equation of Bose‐Einstein condensates on different geometries
- Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
- Dufort–Frankel-Type Methods for Linear and Nonlinear Schrödinger Equations
- An efficient and accurate Fourier pseudo-spectral method for the nonlinear Schrödinger equation with wave operator
- Optimal Superconvergence of Energy Conserving Local Discontinuous Galerkin Methods for Wave Equations
- A linearly implicit conservative scheme for the fractional nonlinear Schrödinger equation with wave operator
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
