An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations
DOI10.4208/AAMM.OA-2019-0308zbMath1488.65294MaRDI QIDQ5157038
No author found.
Publication date: 12 October 2021
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
energy-preserving schemeaverage vector field methodcoupled Gross-Pitaevskii equationshigh order compact method
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) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Numerical analysis of AVF methods for three-dimensional time-domain Maxwell's equations
- GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions
- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- An efficient spectral method for computing dynamics of rotating two-component Bose-Einstein condensates via coordinate transformation
- Optimal point-wise error estimate of a compact difference scheme for the coupled Gross-Pitaevskii equations in one dimension
- Optimal \(l^\infty\) error estimates of finite difference methods for the coupled Gross-Pitaevskii equations in high dimensions
- High-order compact splitting multisymplectic method for the coupled nonlinear Schrödinger equations
- Partitioned averaged vector field methods
- High-order compact ADI methods for parabolic equations
- On Galerkin's method in the existence theory of quasilinear elliptic equations
- Compact finite difference schemes with spectral-like resolution
- Highly accurate compact implicit methods and boundary conditions
- Spectral-like resolution compact ADI finite difference method for the multi-dimensional Schrödinger equations
- Mathematical theory and numerical methods for Bose-Einstein condensation
- A time-splitting spectral method for coupled Gross-Pitaevskii equations with applications to rotating Bose-Einstein condensates
- Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation
- A Generalized-Laguerre–Fourier–Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose–Einstein Condensates
- Geometric integration using discrete gradients
- Efficient structure‐preserving schemes for good Boussinesq equation
- A simple Dufort‐Frankel‐type scheme for the Gross‐Pitaevskii equation of Bose‐Einstein condensates on different geometries
- Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
- Two New Energy-Preserving Algorithms for Generalized Fifth-Order KdV Equation
- A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation
- A New Energy-Preserving Scheme for the Fractional Klein-Gordon-Schrodinger Equations
- VORTICES IN MULTICOMPONENT BOSE–EINSTEIN CONDENSATES
- LOD-MS for Gross-Pitaevskii Equation in Bose-Einstein Condensates
- A new class of energy-preserving numerical integration methods
- Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation
This page was built for publication: An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations
