An efficient and accurate Fourier pseudo-spectral method for the nonlinear Schrödinger equation with wave operator

DOI10.1080/00207160.2020.1745785zbMath1480.65285OpenAlexW3010882822MaRDI QIDQ5031223

Jialing Wang, Shan Li, Ting-chun Wang, Bo-ling Guo

Publication date: 18 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2020.1745785

zbMATH Keywords

energy conservationoptimal error estimateunconditional convergenceFourier pseudo-spectral methodSchrödinger equation with wave operator

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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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