Regularized Numerical Methods for the Nonlinear Schrödinger Equation with Singular Nonlinearity
DOI10.4208/eajam.2022-295.300123zbMath1527.65068arXiv2210.16361OpenAlexW4376959349MaRDI QIDQ6069451
Publication date: 16 December 2023
Published in: Unnamed Author (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.16361
nonlinear Schrödinger equationconvergence ratesingular nonlinearityglobal nonlinearity regularizationLawson-type exponential integratorLie-Trotter time-splittinglocal energy regularization
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Special quantum systems, such as solvable systems (81Q80)
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