二维非线性Schr\"{o}dinger方程显式格式的最大模误差分析

DOI10.1360/012009-846zbMath1488.65255OpenAlexW2969234959MaRDI QIDQ5017608

Hong-lin Liao, Han-sheng Shi, Zhi-zhong Sun

Publication date: 17 December 2021

Published in: SCIENTIA SINICA Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1360/012009-846

zbMATH Keywords

cubic nonlinear Schrödinger equationmaximum norm error estimateleap-frog schemediscrete energy analysisDu Fort-Frankel scheme

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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