A second-order time-discretization scheme for a system of nonlinear Schrödinger equations

DOI10.3792/pjaa.90.15zbMath1295.65087OpenAlexW2027409968MaRDI QIDQ2448739

Takiko Sasaki

Publication date: 5 May 2014

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1389017410

zbMATH Keywords

finite difference methoderror analysisnonlinear Schrödinger equationsemidiscretizationtime-discretization

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)

Related Items (1)

A blow-up problem for a nonlinear heat equation in the complex plane of time

Cites Work

• Discrete Variational Derivative Method
• Small data scattering for a system of nonlinear Schrödinger equations
• A Relaxation Scheme for the Nonlinear Schrödinger Equation

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