A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition

DOI10.1093/IMANUM/DRAC075OpenAlexW4311867616MaRDI QIDQ6190829

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Publication date: 6 February 2024

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drac075

zbMATH Keywords

fast Fourier transformnonlinear Schrödinger equationLittlewood-Paley decompositionfully discretefirst-order convergencelow-regularity integrator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Maximal functions, Littlewood-Paley theory (42B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for discrete and fast Fourier transforms (65T50) 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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Linearly Compact Difference Scheme for the Two-Dimensional Kuramoto-Tsuzuki Equation with the Neumann Boundary Condition ⋮ Low-regularity integrator for the Davey-Stewartson II system

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