Error estimates of local energy regularization for the logarithmic Schrödinger equation

DOI10.1142/S0218202522500038zbMath1483.35168arXiv2006.05114OpenAlexW3210061315MaRDI QIDQ5068828

Rémi Carles, Chun-Mei Su, Weizhu Bao, Qinglin Tang

Publication date: 7 April 2022

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.05114

zbMATH Keywords

error estimatesconvergence ratelogarithmic Schrödinger equationlogarithmic nonlinearityLie-Trotter splittingenergy regularization

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (7)

Unconditionally convergent and superconvergent analysis of second-order weighted IMEX FEMs for nonlinear Ginzburg-Landau equation ⋮ Regularized Numerical Methods for the Nonlinear Schrödinger Equation with Singular Nonlinearity ⋮ Novel High-Order Mass- and Energy-Conservative Runge-Kutta Integrators for the Regularized Logarithmic Schrödinger Equation ⋮ Implicit-explicit finite difference approximations of a semilinear heat equation with logarithmic nonlinearity ⋮ Optimal Error Bounds on the Exponential Wave Integrator for the Nonlinear Schrödinger Equation with Low Regularity Potential and Nonlinearity ⋮ Error Analysis of a First-Order IMEX Scheme for the Logarithmic Schrödinger Equation ⋮ Numerical study of the logarithmic Schrödinger equation with repulsive harmonic potential

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