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Symmetric exponential integrators with an application to the cubic Schrodinger equation
Department of Mathematical Sciences, NTNU, 7491 Trondheim.
Department of Mathematical Sciences, NTNU, 7491 Trondheim.ORCID iD: 0000-0001-6490-1957
Department of Mathematical Sciences, NTNU, 7491 Trondheim.
2008 (English)In: Foundations of Computational Mathematics, ISSN 1615-3375, E-ISSN 1615-3383, Vol. 8, no 3, 303-317 p.Article in journal (Refereed) Published
Abstract [en]

In this article, we derive and study symmetric exponential integrators. Numerical experiments are performed for the cubic Schrodinger equation and comparisons with classical exponential integrators and other geometric methods are also given. Some of the proposed methods preserve the L(2)-norm and/or the energy of the system.

Place, publisher, year, edition, pages
2008. Vol. 8, no 3, 303-317 p.
Keyword [en]
exponential integrators, symmetric methods, cubic Schrodinger equation
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-59159DOI: 10.1007/s10208-007-9016-7ISI: 000256963400004OAI: oai:DiVA.org:umu-59159DiVA: diva2:551366
Available from: 2012-09-11 Created: 2012-09-10 Last updated: 2017-12-07Bibliographically approved

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