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Exponentially fitted fifth-order two-step peer explicit methods

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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.
Keywords
Exponential fitting, Peer methods, oscillatory initial value problems, RUNGE-KUTTA METHODS

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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.
@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},
}

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