Change search
ReferencesLink to record
Permanent link

Direct link
One-stage exponential integrators for nonlinear Schrödinger equations over long times
Mathematisches Institut, Universität Basel.
Institut für Mathematik, TU Berlin.
2012 (English)In: BIT Numerical Mathematics, ISSN 0006-3835, E-ISSN 1572-9125, Vol. 52, no 4, 877-903 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Springer, 2012. Vol. 52, no 4, 877-903 p.
Keyword [en]
Nonlinear Schrödinger equation, Exponential integrators, Long-time behaviour, Near-conservation of actions, energy, mass and momentum, Modulated Fourier expansion
National Category
Computational Mathematics
URN: urn:nbn:se:umu:diva-59179DOI: 10.1007/s10543-012-0385-1OAI: diva2:551390
Available from: 2012-09-11 Created: 2012-09-11 Last updated: 2014-05-16Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Cohen, David
In the same journal
BIT Numerical Mathematics
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 32 hits
ReferencesLink to record
Permanent link

Direct link