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
type: Item
instance of: scholarly article
title: 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
zbMATH Open document ID: 1379.65066
author: Jiaping Jiang
author: Xiang Xue
author: Tingchun Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 2017-12-12T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35Q76
Mathematics Subject Classification ID: 35Q82
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 6817609
zbMATH Keywords: Gross-Pitaevskii equation with angular momentum rotation
zbMATH Keywords: finite difference method
zbMATH Keywords: conservation laws
zbMATH Keywords: unconditional convergence
zbMATH Keywords: optimal error estimate
zbMATH Keywords: nonlinear Schrödinger-type equations
zbMATH Keywords: numerical result
MaRDI profile type: Publication
full work available at URL: j.jmaa.2017.10.073
OpenAlex ID: W2768007622
cites work: On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation
cites work: Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations
cites work: Mathematical theory and numerical methods for Bose-Einstein condensation
cites work: Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
cites work: Uniform error estimates of finite difference methods for the nonlinear Schrödinger equation with wave operator
cites work: Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime
cites work: Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation
cites work: A Generalized-Laguerre–Fourier–Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose–Einstein Condensates
cites work: An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates
cites work: Ground, symmetric and central vortex states in rotating Bose-Einstein condensates
cites work: Finite Difference Method for Generalized Zakharov Equations
cites work: Difference schemes for solving the generalized nonlinear Schrödinger equation
cites work: Finite Element Approximations to the System of Shallow Water Equations, Part II: Discrete-Time A Priori Error Estimates
cites work: A characteristic-Galerkin approximation to a system of shallow water equations
cites work: Global well posedness for the Gross-Pitaevskii equation with an angular momentum rotational term in three dimensions
cites work: Global well posedness for the Gross–Pitaevskii equation with an angular momentum rotational term
cites work: Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations
cites work: Derivation of the Gross-Pitaevskii equation for rotating Bose gases
cites work: Q5697068
cites work: Q4360234
cites work: A time-splitting spectral method for coupled Gross-Pitaevskii equations with applications to rotating Bose-Einstein condensates
cites work: Optimal point-wise error estimate of a compact difference scheme for the coupled Gross-Pitaevskii equations in one dimension
cites work: Optimal \(l^\infty\) error estimates of finite difference methods for the coupled Gross-Pitaevskii equations in high dimensions
DOI: 10.1016/J.JMAA.2017.10.073
description: scientific article; zbMATH DE number 6817609