Numerical implementation of the multiscale and averaging methods for quasi periodic systems

DOI10.1016/j.cpc.2017.08.018zbMath1498.81008arXiv1501.03132OpenAlexW2963331160MaRDI QIDQ2100568

Shmuel Fishman, Tal Kachman, Avy Soffer

Publication date: 24 November 2022

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03132

zbMATH Keywords

numerical solutiontime dependent potentialsmultiscale averaging

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08)

Related Items (2)

Error Estimate of a Quasi-Monte Carlo Time-Splitting Pseudospectral Method for Nonlinear Schrödinger Equation with Random Potentials ⋮ Numerical integrators for continuous disordered nonlinear Schrödinger equation

Uses Software

• ARPACK

Cites Work

• Quantum thermodynamics: a dynamical viewpoint
• Long-term analysis of numerical integrators for oscillatory Hamiltonian systems under minimal non-resonance conditions
• A comparison of different propagation schemes for the time dependent Schrödinger equation
• Stable numerical coupling of exterior and interior problems for the wave equation
• An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow
• PLANE WAVE STABILITY OF THE SPLIT-STEP FOURIER METHOD FOR THE NONLINEAR SCHRÖDINGER EQUATION
• Product formula methods for time-dependent Schrodinger problems
• Spectral Methods for Time-Dependent Problems
• Generalized Ornstein-Uhlenbeck processes
• STOCHASTIC INSTABILITY OF NON-LINEAR OSCILLATIONS
• ARPACK Users' Guide
• Classical and quantum superdiffusion in a time-dependent random potential
• Comment on ‘‘Classical and quantum superdiffusion in a time-dependent random potential’’
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Multiscale Time Averaging, Reloaded

This page was built for publication: Numerical implementation of the multiscale and averaging methods for quasi periodic systems