Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation
From MaRDI portal
Publication:6101377
DOI10.1016/j.cpc.2020.107767arXiv2004.08733MaRDI QIDQ6101377
Jin Cui, Chaolong Jiang, Yu Shun Wang
Publication date: 31 May 2023
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.08733
Related Items (13)
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity ⋮ Explicit high-order conservative exponential time differencing Runge-Kutta schemes for the two-dimensional nonlinear Schrödinger equation ⋮ Arbitrary high-order exponential integrators conservative schemes for the nonlinear Gross-Pitaevskii equation ⋮ Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation ⋮ Arbitrarily High-Order Conservative Schemes for the Generalized Korteweg--de Vries Equation ⋮ Arbitrary high-order structure-preserving methods for the quantum Zakharov system ⋮ Explicit high accuracy energy-preserving Lie-group sine pseudo-spectral methods for the coupled nonlinear Schrödinger equation ⋮ Arbitrarily high-order energy-preserving schemes for the Zakharov-Rubenchik equations ⋮ High-order Runge-Kutta structure-preserving methods for the coupled nonlinear Schrödinger-KdV equations ⋮ High order conservative schemes for the generalized Benjamin-Ono equation on the unbounded domain ⋮ Arbitrary High-Order Structure-Preserving Schemes for Generalized Rosenau-Type Equations ⋮ High-order schemes for the fractional coupled nonlinear Schrödinger equation ⋮ GPU-accelerated time integration of Gross-Pitaevskii equation with discrete exterior calculus
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations
- GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. II: Dynamics and stochastic simulations
- GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions
- Spectral collocation methods using sine functions for a rotating Bose-Einstein condensation in optical lattices
- Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs
- Spectral semi-discretisations of weakly non-linear wave equations over long times
- Derivation of the Gross-Pitaevskii equation for rotating Bose gases
- Runge-Kutta schemes for Hamiltonian systems
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- The scalar auxiliary variable (SAV) approach for gradient flows
- Mathematical theory and numerical methods for Bose-Einstein condensation
- An efficient split-step and implicit pure mesh-free method for the 2D/3D nonlinear Gross-Pitaevskii equations
- A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator
- Unconditional convergence of linearized implicit finite difference method for the 2D/3D Gross-Pitaevskii equation with angular momentum rotation
- Numerical comparison of mass-conservative schemes for the Gross-Pitaevskii equation
- Efficient time integration methods for Gross-Pitaevskii equations with rotation term
- General local energy-preserving integrators for solving multi-symplectic Hamiltonian PDEs
- An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates
- Line Integral Methods for Conservative Problems
- Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)
- Stability of Runge-Kutta Methods for Trajectory Problems
- A Generalized-Laguerre–Fourier–Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose–Einstein Condensates
- Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities
- A Relaxation Scheme for the Nonlinear Schrödinger Equation
- Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
- A NEW LINEAR AND CONSERVATIVE FINITE DIFFERENCE SCHEME FOR THE GROSS–PITAEVSKII EQUATION WITH ANGULAR MOMENTUM ROTATION
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- High Order Exponential Integrators for Nonlinear Schrödinger Equations with Application to Rotating Bose--Einstein Condensates
- Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
- A Sixth Order Averaged Vector Field Method
- The Finite Element Method for the Time-Dependent Gross--Pitaevskii Equation with Angular Momentum Rotation
- A new class of energy-preserving numerical integration methods
- Global well posedness for the Gross–Pitaevskii equation with an angular momentum rotational term
- Geometric Numerical Integration
- Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation
- Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation
- A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas
This page was built for publication: Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation
