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
Author
David Cohen
University of Basel
Ludwig Gauckler
Technische Universität Berlin
BIT Numerical Mathematics
0006-3835 (ISSN) 1572-9125 (eISSN)
Vol. 52 4 877-903Subject Categories
Mathematics
DOI
10.1007/s10543-012-0385-1