Change search
ReferencesLink to record
Permanent link

Direct link
Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations
Department of Mathematical Sciences, NTNU.
Section de Mathématiques, Université de Genève.
Mathematisches Institut, Universität Tübingen.
2008 (English)In: Numerische Mathematik, ISSN 0029-599X, E-ISSN 0945-3245, Vol. 110, no 2, 113-143 p.Article in journal (Refereed) Published
Abstract [en]

For classes of symplectic and symmetric time-stepping methods- trigonometric integrators and the Stormer-Verlet or leapfrog method-applied to spectral semi-discretizations of semilinear wave equations in a weakly non-linear setting, it is shown that energy, momentum, and all harmonic actions are approximately preserved over long times. For the case of interest where the CFL number is not a small parameter, such results are outside the reach of standard backward error analysis. Here, they are instead obtained via a modulated Fourier expansion in time.

Place, publisher, year, edition, pages
2008. Vol. 110, no 2, 113-143 p.
National Category
Computational Mathematics
URN: urn:nbn:se:umu:diva-59158DOI: 10.1007/s00211-008-0163-9ISI: 000257867700001OAI: diva2:551360
Available from: 2012-09-11 Created: 2012-09-10 Last updated: 2012-10-22Bibliographically 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
Numerische Mathematik
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: 23 hits
ReferencesLink to record
Permanent link

Direct link