Unconditional \(L_\infty\) convergence of a compact ADI scheme for coupled nonlinear Schrödinger system

DOI10.1016/j.apnum.2020.03.006zbMath1437.65092OpenAlexW3011307630MaRDI QIDQ1986171

Juan Chen, Fangqi Chen

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.03.006

zbMATH Keywords

coupled nonlinear Schrödinger systemcompact ADI schemeconvergence in \(L_\infty\) norm

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

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