An exponential wave integrator Fourier pseudospectral method for the nonlinear Schrödinger equation with wave operator

DOI10.1007/s12190-017-1144-xzbMath1404.65197OpenAlexW2766577977WikidataQ115601622 ScholiaQ115601622MaRDI QIDQ1786957

Bingquan Ji, Lu-Ming Zhang

Publication date: 25 September 2018

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-017-1144-x

zbMATH Keywords

error estimatespseudospectral methodSchrödinger equationexplicit schemeexponential wave integrator

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for discrete and fast Fourier transforms (65T50) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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