full
search.png

Search

close.png

Cancel

arrow
Volume 38, Issue 5
On Energy Conservation by Trigonometric Integrators in the Linear Case with Application to Wave Equations

Ludwig Gauckler

DOI: 10.4208/jcm.1903-m2018-0090

J. Comp. Math., 38 (2020), pp. 705-714.

Published online: 2020-04

Preview Purchase PDF 1934 33879

Cited by

google scholar semantic scholar
Export citation
  • Abstract

Trigonometric integrators for oscillatory linear Hamiltonian differential equations are considered. Under a condition of Hairer & Lubich on the filter functions in the method, a modified energy is derived that is exactly preserved by trigonometric integrators. This implies and extends a known result on all-time near-conservation of energy. The extension can be applied to linear wave equations.

  • Keywords

Oscillatory Hamiltonian systems, Trigonometric integrators, Energy conservation, Long-time behaviour, Modified energy.

  • AMS Subject Headings

65P10, 65L05, 37M15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

ludwig.gauckler.math@gmail.com (Ludwig Gauckler)

  • BibTex
  • RIS
  • TXT
@Article{JCM-38-705, author = {Gauckler , Ludwig}, title = {On Energy Conservation by Trigonometric Integrators in the Linear Case with Application to Wave Equations}, journal = {Journal of Computational Mathematics}, year = {2020}, volume = {38}, number = {5}, pages = {705--714}, abstract = {

Trigonometric integrators for oscillatory linear Hamiltonian differential equations are considered. Under a condition of Hairer & Lubich on the filter functions in the method, a modified energy is derived that is exactly preserved by trigonometric integrators. This implies and extends a known result on all-time near-conservation of energy. The extension can be applied to linear wave equations.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1903-m2018-0090}, url = {http://global-sci.org/intro/article_detail/jcm/16665.html} }
TY - JOUR T1 - On Energy Conservation by Trigonometric Integrators in the Linear Case with Application to Wave Equations AU - Gauckler , Ludwig JO - Journal of Computational Mathematics VL - 5 SP - 705 EP - 714 PY - 2020 DA - 2020/04 SN - 38 DO - http://doi.org/10.4208/jcm.1903-m2018-0090 UR - https://global-sci.org/intro/article_detail/jcm/16665.html KW - Oscillatory Hamiltonian systems, Trigonometric integrators, Energy conservation, Long-time behaviour, Modified energy. AB -

Trigonometric integrators for oscillatory linear Hamiltonian differential equations are considered. Under a condition of Hairer & Lubich on the filter functions in the method, a modified energy is derived that is exactly preserved by trigonometric integrators. This implies and extends a known result on all-time near-conservation of energy. The extension can be applied to linear wave equations.

Gauckler , Ludwig. (2020). On Energy Conservation by Trigonometric Integrators in the Linear Case with Application to Wave Equations. Journal of Computational Mathematics. 38 (5). 705-714. doi:10.4208/jcm.1903-m2018-0090
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard