On the splitting method for the nonlinear Schrödinger equation with initial data in \(H^1\)

DOI10.3934/dcds.2021019zbMath1468.35184arXiv1610.06028OpenAlexW3124588459MaRDI QIDQ2030801

Woocheol Choi, Youngwoo Koh

Publication date: 8 June 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.06028

zbMATH Keywords

nonlinear Schrödinger equationssplitting method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (4)

Convergence analysis of the splitting method to the nonlinear heat equation ⋮ Optimal Error Bounds on the Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity ⋮ Numerical study of the logarithmic Schrödinger equation with repulsive harmonic potential ⋮ Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity

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