Fulltext

One-stage exponential integrators for nonlinear Schrödinger equations over long times

Cohen, David ; Gauckler, Ludwig

In: BIT Numerical Mathematics, 2012, vol. 52, no. 4, p. 877-903

Ajouter à la liste personnelle
    Titre
    • One-stage exponential integrators for nonlinear Schrödinger equations over long times
    Auteur
    • Cohen, David. Mathematisches Institut, Universität Basel, 4051, Basel, Switzerland
    • Gauckler, Ludwig. Institut für Mathematik, TU Berlin, Straße des 17. Juni 136, 10623, Berlin, Germany
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • BIT Numerical Mathematics, 2012, vol. 52, no. 4, p. 877-903. Springer Netherlands
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:320704
    Summary
    Near-conservation over long times of the actions, of the energy, of the mass and of the momentum along the numerical solution of the cubic Schrödinger equation with small initial data is shown. Spectral discretization in space and one-stage exponential integrators in time are used. The proofs use modulated Fourier expansions