Numerical integrators for continuous disordered nonlinear Schrödinger equation

DOI10.1007/s10915-021-01653-2zbMath1482.35222arXiv2007.15809OpenAlexW3207433063MaRDI QIDQ2236539

Yanyan Li

Publication date: 25 October 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15809

zbMATH Keywords

accuracynumerical integratorslow-regularitydisordered nonlinear Schrödinger equationspatial random potential

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) White noise theory (60H40) Stability and convergence of numerical methods for ordinary differential equations (65L20) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for discrete and fast Fourier transforms (65T50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Error bounds for numerical methods for ordinary differential equations (65L70) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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