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

Marnix Van Daele (UGent) , Davy Hollevoet (UGent) and Guido Vanden Berghe (UGent)
(2010) AIP Conference Proceedings. 1281. p.251-254
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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.
Keywords
Symplectic methods, Exponential fitting

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Citation

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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.
@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},
}

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