Uniform Error Bound of an Exponential Wave Integrator for Long-Time Dynamics of the Nonlinear Schrödinger Equation with Wave Operator

DOI10.4208/eajam.2023-100.060523zbMath1527.65104arXiv2304.00772OpenAlexW4382892851MaRDI QIDQ6139029

Yue Feng, Yongjun Yuan, Yichen Guo

Publication date: 18 December 2023

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.00772

zbMATH Keywords

Fourier pseudospectral methodlong-time dynamicsexponential wave integratoruniform error boundnonlinear Schrödinger equation with wave operator

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Computational methods for problems pertaining to quantum theory (81-08) 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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