Long-time error bounds of low-regularity integrators for nonlinear Schrödinger equations

DOI10.1090/mcom/3922arXiv2302.00383MaRDI QIDQ6128999

Katharina Schratz, Georg Maierhofer, Yue Feng

Publication date: 16 April 2024

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.00383

zbMATH Keywords

nonlinear Schrödinger equationsymmetric schemeregularity compensation oscillationlong-time error boundlow-regularity integrators

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) 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) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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