A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation

A fully discrete and fully explicit low-regularity integrator is constructed for the one-dimensional periodic cubic nonlinear Schrödinger equation. The method can be implemented by using fast Fourier transform with O ( N ln N ) operations at every time level, and is proved to have an L 2 -norm error...

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Bibliographic Details
Published in:	Numerische Mathematik Vol. 149; no. 1; pp. 151 - 183
Main Authors:	Li, Buyang, Wu, Yifei
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021 Springer Nature B.V
Subjects:	Fast Fourier transformations Fourier transforms Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Regularity Schrodinger equation Simulation Theoretical 65M15 Low regularity Numerical solution First-order convergence Fast Fourier transform 35Q55 Nonlinear Schrödinger equation 65M12
ISSN:	0029-599X, 0945-3245
Online Access:	Get full text
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