Optimal error estimate of a conformal Fourier pseudo‐spectral method for the damped nonlinear Schrödinger equation

DOI10.1002/NUM.22264zbMath1407.65215OpenAlexW2800736823WikidataQ115397948 ScholiaQ115397948MaRDI QIDQ4623384

Chaolong Jiang, Wenjun Cai, Yu Shun Wang

Publication date: 15 February 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22264

zbMATH Keywords

Fourier pseudo-spectral method damped nonlinear Schrödinger equation priori estimate

Mathematics Subject Classification ID

Fixed-point theorems (47H10) 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 discrete and fast Fourier transforms (65T50) 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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