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Symplectic exponentially-fitted four stage Runge-Kutta methods of the Gauss type

Guido Vanden Berghe UGent and Marnix Van Daele UGent (2011) NUMERICAL ALGORITHMS. 56(4). p.591-608
abstract
The construction of symmetric and symplectic exponentially-fitted Runge-Kutta methods for the numerical integration of Hamiltonian systems with oscillatory solutions deserves a lot of interest. In previous papers fourth-order and sixth-order symplectic exponentially-fitted integrators of Gauss type, either with fixed or variable nodes, have been derived. In this paper new such integrators of eighth-order are studied and constructed by making use of the six-step procedure of Ixaru and Vanden Berghe (2004). Numerical experiments for some oscillatory problems are presented.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Symplecticness, Exponential fitting, RK-methods, Oscillatory Hamiltonian systems, NUMERICAL-INTEGRATION
journal title
NUMERICAL ALGORITHMS
Numer. Algorithms
volume
56
issue
4
pages
591 - 608
Web of Science type
Article
Web of Science id
000288021900007
JCR category
MATHEMATICS, APPLIED
JCR impact factor
1.042 (2011)
JCR rank
70/245 (2011)
JCR quartile
2 (2011)
ISSN
1017-1398
DOI
10.1007/s11075-010-9407-8
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1182870
handle
http://hdl.handle.net/1854/LU-1182870
date created
2011-03-08 10:36:28
date last changed
2016-12-19 15:45:50
@article{1182870,
  abstract     = {The construction of symmetric and symplectic exponentially-fitted Runge-Kutta methods for the numerical integration of Hamiltonian systems with oscillatory solutions deserves a lot of interest. In previous papers fourth-order and sixth-order symplectic exponentially-fitted integrators of Gauss type, either with fixed or variable nodes, have been derived. In this paper new such integrators of eighth-order are studied and constructed by making use of the six-step procedure of Ixaru and Vanden Berghe (2004). Numerical experiments for some oscillatory problems are presented.},
  author       = {Vanden Berghe, Guido and Van Daele, Marnix},
  issn         = {1017-1398},
  journal      = {NUMERICAL ALGORITHMS},
  keyword      = {Symplecticness,Exponential fitting,RK-methods,Oscillatory Hamiltonian systems,NUMERICAL-INTEGRATION},
  language     = {eng},
  number       = {4},
  pages        = {591--608},
  title        = {Symplectic exponentially-fitted four stage Runge-Kutta methods of the Gauss type},
  url          = {http://dx.doi.org/10.1007/s11075-010-9407-8},
  volume       = {56},
  year         = {2011},
}

Chicago
Vanden Berghe, Guido, and Marnix Van Daele. 2011. “Symplectic Exponentially-fitted Four Stage Runge-Kutta Methods of the Gauss Type.” Numerical Algorithms 56 (4): 591–608.
APA
Vanden Berghe, Guido, & Van Daele, M. (2011). Symplectic exponentially-fitted four stage Runge-Kutta methods of the Gauss type. NUMERICAL ALGORITHMS, 56(4), 591–608.
Vancouver
1.
Vanden Berghe G, Van Daele M. Symplectic exponentially-fitted four stage Runge-Kutta methods of the Gauss type. NUMERICAL ALGORITHMS. 2011;56(4):591–608.
MLA
Vanden Berghe, Guido, and Marnix Van Daele. “Symplectic Exponentially-fitted Four Stage Runge-Kutta Methods of the Gauss Type.” NUMERICAL ALGORITHMS 56.4 (2011): 591–608. Print.