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Three-stage two-parameter symplectic, symmetric exponentially-fitted Runge-Kutta methods of Gauss type

Marnix Van Daele UGent, Davy Hollevoet and Guido Vanden Berghe UGent (2010) AIP Conference Proceedings. 1281. p.251-254
abstract
We construct an exponentially-fitted variant of the well-known three stage Runge-Kutta method of Gauss-type. The new method is symmetric and symplectic by construction and it contains two parameters, which can be tuned to the problem at hand. Some numerical experiments are given.
Please use this url to cite or link to this publication:
author
organization
year
type
conference (proceedingsPaper)
publication status
published
subject
keyword
Symplectic methods, Exponential fitting
in
AIP Conference Proceedings
AIP Conf. Proc.
editor
Theodore Simos, George Psihoyios and Ch Tsitouras
volume
1281
issue title
Numerical analysis and applied mathematics, vols I-III
pages
251 - 254
publisher
American Institute of Physics (AIP)
place of publication
Melville, NY, USA
conference name
8th International conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010)
conference location
Rhodes, Greece
conference start
2010-09-19
conference end
2010-09-25
Web of Science type
Proceedings Paper
Web of Science id
000289661500064
ISSN
0094-243X
ISBN
9780735408340
9780735408319
DOI
10.1063/1.3498440
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1059219
handle
http://hdl.handle.net/1854/LU-1059219
date created
2010-10-14 15:19:17
date last changed
2017-01-02 09:52:20
@inproceedings{1059219,
  abstract     = {We construct an exponentially-fitted variant of the well-known three stage Runge-Kutta method of Gauss-type. The new method is symmetric and symplectic by construction and it contains two parameters, which can be tuned to the problem at hand. Some numerical experiments are given.},
  author       = {Van Daele, Marnix and Hollevoet, Davy and Vanden Berghe, Guido},
  booktitle    = {AIP Conference Proceedings},
  editor       = {Simos, Theodore and Psihoyios, George and Tsitouras, Ch},
  isbn         = {9780735408340},
  issn         = {0094-243X},
  keyword      = {Symplectic methods,Exponential fitting},
  language     = {eng},
  location     = {Rhodes, Greece},
  pages        = {251--254},
  publisher    = {American Institute of Physics (AIP)},
  title        = {Three-stage two-parameter symplectic, symmetric exponentially-fitted Runge-Kutta methods of Gauss type},
  url          = {http://dx.doi.org/10.1063/1.3498440},
  volume       = {1281},
  year         = {2010},
}

Chicago
Van Daele, Marnix, Davy Hollevoet, and Guido Vanden Berghe. 2010. “Three-stage Two-parameter Symplectic, Symmetric Exponentially-fitted Runge-Kutta Methods of Gauss Type.” In AIP Conference Proceedings, ed. Theodore Simos, George Psihoyios, and Ch Tsitouras, 1281:251–254. Melville, NY, USA: American Institute of Physics (AIP).
APA
Van Daele, Marnix, Hollevoet, D., & Vanden Berghe, G. (2010). Three-stage two-parameter symplectic, symmetric exponentially-fitted Runge-Kutta methods of Gauss type. In Theodore Simos, G. Psihoyios, & C. Tsitouras (Eds.), AIP Conference Proceedings (Vol. 1281, pp. 251–254). Presented at the 8th International conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010), Melville, NY, USA: American Institute of Physics (AIP).
Vancouver
1.
Van Daele M, Hollevoet D, Vanden Berghe G. Three-stage two-parameter symplectic, symmetric exponentially-fitted Runge-Kutta methods of Gauss type. In: Simos T, Psihoyios G, Tsitouras C, editors. AIP Conference Proceedings. Melville, NY, USA: American Institute of Physics (AIP); 2010. p. 251–4.
MLA
Van Daele, Marnix, Davy Hollevoet, and Guido Vanden Berghe. “Three-stage Two-parameter Symplectic, Symmetric Exponentially-fitted Runge-Kutta Methods of Gauss Type.” AIP Conference Proceedings. Ed. Theodore Simos, George Psihoyios, & Ch Tsitouras. Vol. 1281. Melville, NY, USA: American Institute of Physics (AIP), 2010. 251–254. Print.