Optimal error estimate of a compact scheme for nonlinear Schrödinger equation

DOI10.1016/j.apnum.2017.05.004zbMath1370.65072OpenAlexW2614267224MaRDI QIDQ2012618

Lihai Ji, Linghua Kong, Jialin Hong, Ting-chun Wang

Publication date: 1 August 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.05.004

zbMATH Keywords

convergencenumerical experimentsnonlinear Schrödinger equationenergy conservationcompact schemeoptimal error estimatestabiltynonlinear Hamiltonian systemsymplectic scheme

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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