Multisymplectic structure-preserving scheme for the coupled Gross–Pitaevskii equations
DOI10.1080/00207160.2020.1781100zbMath1480.65227OpenAlexW3036045952MaRDI QIDQ5031291
Publication date: 18 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2020.1781100
conservation lawscoupled Gross-Pitaevskii equationsmultisymplectic schememultisymplectic Hamiltonian system
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) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)
Cites Work
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- 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
- Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC
- Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs
- A novel kind of efficient symplectic scheme for Klein-Gordon-Schrödinger equation
- Mathematical theory and numerical methods for Bose-Einstein condensation
- Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
- Multi-symplectic preserving integrator for the Schrödinger equation with wave operator
- 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
- Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system
- Numerical dispersion analysis of a multi-symplectic scheme for the three dimensional Maxwell's equations
- Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients
- Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations
- The splitting multisymplectic numerical methods for Hamiltonian systems
- A Generalized-Laguerre–Fourier–Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose–Einstein Condensates
- High Order Compact Multisymplectic Scheme for Coupled Nonlinear Schrödinger-KdV Equations
- A novel energy-preserving scheme for the coupled nonlinear Schrödinger equations
- Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs
- Efficient structure‐preserving schemes for good Boussinesq equation
- Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
- Ground States and Dynamics of Spin-Orbit-Coupled Bose--Einstein Condensates
- Novel Multi-symplectic Integrators for Nonlinear Fourth-order Schrödinger Equation with Trapped Term
- A Simple and Efficient Numerical Method for Computing the Dynamics of Rotating Bose--Einstein Condensates via Rotating Lagrangian Coordinates
- Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation
- Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
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