A Lawson-time-splitting extended Fourier pseudospectral method for the Gross-Pitaevskii equation with time-dependent low regularity potential

DOI10.1016/j.jcp.2024.113133MaRDI QIDQ6560713

Ying Ma, Chushan Wang, Bo Lin

Publication date: 23 June 2024

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

zbMATH Keywords

nonlinear Schrödinger equationerror estimatetime-splitting methodextended Fourier pseudospectral methodLawson integratortime-dependent low regularity potential

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation
• Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations
• The nonlinear Schrödinger equation. Singular solutions and optical collapse
• Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation
• Mathematical theory and numerical methods for Bose-Einstein condensation
• Error analysis of a class of semi-discrete schemes for solving the Gross-Pitaevskii equation at low regularity
• Numerical integrators for continuous disordered nonlinear Schrödinger equation
• Exponential integrators
• Spectral Methods
• On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential
• 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
• Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity
• Crank–Nicolson Galerkin approximations to nonlinear Schrödinger equations with rough potentials
• Normalized Gradient Flow with Lagrange Multiplier for Computing Ground States of Bose--Einstein Condensates
• Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation
• Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity
• Optimal Error Bounds on the Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity
• Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
• An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential
• An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity

This page was built for publication: A Lawson-time-splitting extended Fourier pseudospectral method for the Gross-Pitaevskii equation with time-dependent low regularity potential