Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity
DOI10.1090/MCOM/3900arXiv2301.02992OpenAlexW4386476405MaRDI QIDQ6129000
Publication date: 16 April 2024
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.02992
nonlinear Schrödinger equationerror estimatelocal regularizationtime-splitting pseudospectral methodsemi-smooth nonlinearity
Smoothness and regularity of solutions to PDEs (35B65) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) 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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