On explicit adaptive symplectic integration of separable Hamiltonian systems
(2008) In Proceedings of the Institution of Mechanical Engineers. Part K: Journal of Multi-Body Dynamics 222(4). p.289-300- Abstract
- Based on a known observation that symplecticity is preserved under certain Sundman time transformations, adaptive symplectic integrators of an arbitrary order are constructed for separable Hamiltonian systems, for two classes of scaling functions. Due to symplecticity, these adaptive integrators have excellent long-time energy behaviour, which is theoretically explained using standard results on the existence of a modified Hamiltonian function. In Contrast to reversible adaptive integration, the constructed methods have good long-time behaviour also for non-reversible systems. Numerical examples of this are given.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1376165
- author
- Modin, Klas LU
- organization
- publishing date
- 2008
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- symplectic integration, adaptivity, variable step-size
- in
- Proceedings of the Institution of Mechanical Engineers. Part K: Journal of Multi-Body Dynamics
- volume
- 222
- issue
- 4
- pages
- 289 - 300
- publisher
- Professional Engineering Publishing
- external identifiers
-
- wos:000262200400005
- scopus:57349137632
- ISSN
- 1464-4193
- DOI
- 10.1243/14644193JMBD171
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
- id
- f806ac8b-c341-4614-a504-c98ec511e055 (old id 1376165)
- date added to LUP
- 2016-04-01 12:56:07
- date last changed
- 2022-01-27 08:23:48
@article{f806ac8b-c341-4614-a504-c98ec511e055, abstract = {{Based on a known observation that symplecticity is preserved under certain Sundman time transformations, adaptive symplectic integrators of an arbitrary order are constructed for separable Hamiltonian systems, for two classes of scaling functions. Due to symplecticity, these adaptive integrators have excellent long-time energy behaviour, which is theoretically explained using standard results on the existence of a modified Hamiltonian function. In Contrast to reversible adaptive integration, the constructed methods have good long-time behaviour also for non-reversible systems. Numerical examples of this are given.}}, author = {{Modin, Klas}}, issn = {{1464-4193}}, keywords = {{symplectic integration; adaptivity; variable step-size}}, language = {{eng}}, number = {{4}}, pages = {{289--300}}, publisher = {{Professional Engineering Publishing}}, series = {{Proceedings of the Institution of Mechanical Engineers. Part K: Journal of Multi-Body Dynamics}}, title = {{On explicit adaptive symplectic integration of separable Hamiltonian systems}}, url = {{http://dx.doi.org/10.1243/14644193JMBD171}}, doi = {{10.1243/14644193JMBD171}}, volume = {{222}}, year = {{2008}}, }