A NEW LINEAR AND CONSERVATIVE FINITE DIFFERENCE SCHEME FOR THE GROSS–PITAEVSKII EQUATION WITH ANGULAR MOMENTUM ROTATION
DOI10.1017/S1446181119000026zbMath1415.65189OpenAlexW4242632777MaRDI QIDQ4966643
Chaolong Jiang, Jin Cui, Wenjun Cai, Yu Shun Wang
Publication date: 27 June 2019
Published in: The ANZIAM Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446181119000026
finite difference schemeconservation lawerror estimateGross-Pitaevskii equationangular momentum rotation
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)
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- Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii 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
- Optimal error analysis of Crank-Nicolson schemes for a coupled nonlinear Schrödinger system in 3D
- Derivation of the Gross-Pitaevskii equation for rotating Bose gases
- A numerical study of the nonlinear Schrödinger equation involving quintic terms
- Difference schemes for solving the generalized nonlinear Schrödinger equation
- Unconditional and optimal \(H^{1}\) error estimate of a Crank-Nicolson finite difference scheme for the Gross-Pitaevskii equation with an angular momentum rotation term
- A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation
- Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme
- A time-splitting spectral method for coupled Gross-Pitaevskii equations with applications to rotating Bose-Einstein condensates
- Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations
- Approximate Solutions of Parabolic Equations
- A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order Differential Equations: Application to the KDV Equation
- Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
- Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
- The Finite Element Method for the Time-Dependent Gross--Pitaevskii Equation with Angular Momentum Rotation
- Global well posedness for the Gross–Pitaevskii equation with an angular momentum rotational term
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