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Exponentially-fitted methods: searching the frequency

(2011) AIP Conference Proceedings. 1389. p.20-23
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Abstract
Exponential fitted algorithms for initial value and boundary value methods and for the calculation of quadrature rules are introduced. Special attention is paid to the form of the leading order term of the error and to the global error term in particular. It is shown in which way a "best value" for the occurring frequency can be selected. Numerical experiments illustrate the proposed strategy.
Keywords
exponential fitting, frequency, ODE solvers, quadrature rules

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Chicago
Vanden Berghe, Guido, Marnix Van Daele, and Davy Hollevoet. 2011. “Exponentially-fitted Methods: Searching the Frequency.” In AIP Conference Proceedings, ed. Theodore Simos, 1389:20–23. Melville, NY, USA: American Institute of Physics (AIP).
APA
Vanden Berghe, Guido, Van Daele, M., & Hollevoet, D. (2011). Exponentially-fitted methods: searching the frequency. In Theodore Simos (Ed.), AIP Conference Proceedings (Vol. 1389, pp. 20–23). Presented at the 9th International conference of Numerical Analysis and Applied Mathematics (ICNAAM 2011), Melville, NY, USA: American Institute of Physics (AIP).
Vancouver
1.
Vanden Berghe G, Van Daele M, Hollevoet D. Exponentially-fitted methods: searching the frequency. In: Simos T, editor. AIP Conference Proceedings. Melville, NY, USA: American Institute of Physics (AIP); 2011. p. 20–3.
MLA
Vanden Berghe, Guido, Marnix Van Daele, and Davy Hollevoet. “Exponentially-fitted Methods: Searching the Frequency.” AIP Conference Proceedings. Ed. Theodore Simos. Vol. 1389. Melville, NY, USA: American Institute of Physics (AIP), 2011. 20–23. Print.
@inproceedings{1909939,
  abstract     = {Exponential fitted algorithms for initial value and boundary value methods and for the calculation of quadrature rules are introduced. Special attention is paid to the form of the leading order term of the error and to the global error term in particular. It is shown in which way a {\textacutedbl}best value{\textacutedbl} for the occurring frequency can be selected. Numerical experiments illustrate the proposed strategy.},
  author       = {Vanden Berghe, Guido and Van Daele, Marnix and Hollevoet, Davy},
  booktitle    = {AIP Conference Proceedings},
  editor       = {Simos, Theodore},
  isbn         = {9780735409545},
  issn         = {0094-243X},
  keyword      = {exponential fitting,frequency,ODE solvers,quadrature rules},
  language     = {eng},
  location     = {Hilkidiki, Greece},
  pages        = {20--23},
  publisher    = {American Institute of Physics (AIP)},
  title        = {Exponentially-fitted methods: searching the frequency},
  url          = {http://dx.doi.org/10.1063/1.3636661},
  volume       = {1389},
  year         = {2011},
}

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