Analysis of a Galerkin approach applied to a system of coupled Schrödinger equations

DOI10.1016/j.cam.2016.09.030zbMath1365.35165OpenAlexW2527714851MaRDI QIDQ344282

Juan Carlos Muñoz Grajales, Luisa Fernanda Vargas

Publication date: 22 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.09.030

zbMATH Keywords

Galerkin methodFourier expansioncoupled 1-dimensional non-linear Schrödinger equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Decoupled conservative schemes for computing dynamics of the strongly coupled nonlinear Schrödinger system ⋮ Decoupled local/global energy-preserving schemes for the \(N\)-coupled nonlinear Schrödinger equations

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