One-stage exponential integrators for nonlinear Schrödinger equations over long times
Journal article, 2012

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.

Nonlinear Schrödinger equation

Exponential integrators

Long-time behavior

Near-conservation of actions, energy, mass and momentum

Modulated Fourier expansion


David Cohen

University of Basel

Ludwig Gauckler

Technische Universität Berlin

BIT Numerical Mathematics

0006-3835 (ISSN) 1572-9125 (eISSN)

Vol. 52 4 877-903

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