Time-splitting finite difference method with the wavelet-adaptive grids for semiclassical Gross-Pitaevskii equation in supercritical case

DOI10.1016/j.jcp.2014.02.025zbMath1349.82033OpenAlexW2059262195MaRDI QIDQ349017

Xueyang Li, Ai-Guo Xiao

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.02.025

zbMATH Keywords

Gross-Pitaevskii equationinterpolating waveletLagrange interpolation methodtime-splitting finite difference methodwavelet-adaptive grids

Mathematics Subject Classification ID

Related Items (3)

Maximum-norm error analysis of a difference scheme for the space fractional CNLS ⋮ Solution of multi-dimensional Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations via local radial basis functions-differential quadrature (RBF-DQ) technique on non-rectangular computational domains ⋮ Efficient exponential splitting spectral methods for linear Schrödinger equation in the semiclassical regime

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear coherent states and Ehrenfest time for Schrödinger equation
• Geometric numerical integration and Schrödinger equations
• From quantum to classical molecular dynamics: Reduced models and numerical analysis.
• Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations
• Symmetric iterative interpolation processes
• Mathematical theory and numerical methods for Bose-Einstein condensation
• Symplectic wavelet collocation method for Hamiltonian wave equations
• Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
• Convergence of a split-step Hermite method for the Gross-Pitaevskii equation
• On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
• Mathematical and computational methods for semiclassical Schrödinger equations
• A theory for multiresolution signal decomposition: the wavelet representation
• Orthonormal bases of compactly supported wavelets
• Classroom Note:Calculation of Weights in Finite Difference Formulas
• A Wavelet-Optimized, Very High Order Adaptive Grid and Order Numerical Method
• Numerical Solution of the Schrödinger Equation in a Wavelet Basis for Hydrogen-like Atoms
• Finite Difference Method for Generalized Zakharov Equations
• Multiresolution representations using the autocorrelation functions of compactly supported wavelets
• Geometric Numerical Integration
• A Fourth-Order Time-Splitting Laguerre--Hermite Pseudospectral Method for Bose--Einstein Condensates

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