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One-stage exponential integrators for nonlinear Schrödinger equations over long times
Mathematisches Institut, Universität Basel.ORCID iD: 0000-0001-6490-1957
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
Identifiers
URN: urn:nbn:se:umu:diva-59179DOI: 10.1007/s10543-012-0385-1OAI: oai:DiVA.org:umu-59179DiVA: diva2:551390
Available from: 2012-09-11 Created: 2012-09-11 Last updated: 2017-12-07Bibliographically approved

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CiteExportLink to record
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