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Exponentially fitted fifth-order two-step peer explicit methods

M Calvo, JI Montijano, L Rández and Marnix Van Daele UGent (2015) AIP Conference Proceedings. In AIP Conference Proceedings 1648.
abstract
The so called peer methods for the numerical solution of Initial Value Problems (IVP) in ordinary differential systems were introduced by R. Weiner et al [6, 7, 11, 12, 13] for solving different types of problems either in sequential or parallel computers. In this work, we study exponentially fitted three-stage peer schemes that are able to fit functional spaces with dimension six. Finally, some numerical experiments are presented to show the behaviour of the new peer schemes for some periodic problems.
Please use this url to cite or link to this publication:
author
organization
year
type
conference (proceedingsPaper)
publication status
published
subject
keyword
Exponential fitting, Peer methods, oscillatory initial value problems, RUNGE-KUTTA METHODS
in
AIP Conference Proceedings
editor
T Simos and C Tsitouras
series title
AIP Conference Proceedings
volume
1648
issue title
Proceedings of the international conference on numerical analysis and applied mathematics
article number
150015
pages
4 pages
publisher
American Institute of Physics (AIP)
place of publication
Melville, NY, USA
conference name
2014 International conference on Numerical Analysis and Applied Mathematics (ICNAAM 2014)
conference location
Rhodes, Greece
conference start
2014-09-22
conference end
2014-09-28
Web of Science type
Proceedings Paper
Web of Science id
000355339701013
ISSN
0094-243X
ISBN
9780735412873
DOI
10.1063/1.4912445
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
7070703
handle
http://hdl.handle.net/1854/LU-7070703
date created
2016-02-03 16:19:30
date last changed
2017-01-02 09:53:20
@inproceedings{7070703,
  abstract     = {The so called peer methods for the numerical solution of Initial Value Problems (IVP) in ordinary differential systems were introduced by R. Weiner et al [6, 7, 11, 12, 13] for solving different types of problems either in sequential or parallel computers. In this work, we study exponentially fitted three-stage peer schemes that are able to fit functional spaces with dimension six. Finally, some numerical experiments are presented to show the behaviour of the new peer schemes for some periodic problems.},
  articleno    = {150015},
  author       = {Calvo, M and Montijano, JI and R{\'a}ndez, L and Van Daele, Marnix},
  booktitle    = {AIP Conference Proceedings},
  editor       = {Simos, T and Tsitouras, C},
  isbn         = {9780735412873},
  issn         = {0094-243X},
  keyword      = {Exponential fitting,Peer methods,oscillatory initial value problems,RUNGE-KUTTA METHODS},
  language     = {eng},
  location     = {Rhodes, Greece},
  pages        = {4},
  publisher    = {American Institute of Physics (AIP)},
  title        = {Exponentially fitted fifth-order two-step peer explicit methods},
  url          = {http://dx.doi.org/10.1063/1.4912445},
  volume       = {1648},
  year         = {2015},
}

Chicago
Calvo, M, JI Montijano, L Rández, and Marnix Van Daele. 2015. “Exponentially Fitted Fifth-order Two-step Peer Explicit Methods.” In AIP Conference Proceedings, ed. T Simos and C Tsitouras. Vol. 1648. Melville, NY, USA: American Institute of Physics (AIP).
APA
Calvo, M., Montijano, J., Rández, L., & Van Daele, M. (2015). Exponentially fitted fifth-order two-step peer explicit methods. In T Simos & C. Tsitouras (Eds.), AIP Conference Proceedings (Vol. 1648). Presented at the 2014 International conference on Numerical Analysis and Applied Mathematics (ICNAAM 2014), Melville, NY, USA: American Institute of Physics (AIP).
Vancouver
1.
Calvo M, Montijano J, Rández L, Van Daele M. Exponentially fitted fifth-order two-step peer explicit methods. In: Simos T, Tsitouras C, editors. AIP Conference Proceedings. Melville, NY, USA: American Institute of Physics (AIP); 2015.
MLA
Calvo, M, JI Montijano, L Rández, et al. “Exponentially Fitted Fifth-order Two-step Peer Explicit Methods.” AIP Conference Proceedings. Ed. T Simos & C Tsitouras. Vol. 1648. Melville, NY, USA: American Institute of Physics (AIP), 2015. Print.