Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation
From MaRDI portal
Publication:5879114
DOI10.1090/mcom/3801OpenAlexW4286971439MaRDI QIDQ5879114
Weizhu Bao, Yue Feng, Yong-Yong Cai
Publication date: 24 February 2023
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.08940
nonlinear Schrödinger equationSchrödinger equationlong-time dynamicstime-splitting Fourier pseudospectral methodimproved uniform error boundregularity compensation oscillation (RCO)
Smoothness and regularity of solutions to PDEs (35B65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) 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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