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Deferred correction based on exponentially fitted mono-implicit Runge-Kutta methods

Marnix Van Daele (UGent) and Davy Hollevoet (UGent)
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Abstract
The combination of exponential fitting and deferred correction based on mono-implicit Runge-Kutta (MIRK) methods is discussed. Particular attention is given to the parameter selection of the exponentially fitted deferred correction schemes to annihilate or minimize the leading error term. Several algorithms are discussed and illustrated with numerical results.
Keywords
Boundary value problems, Mono-implicit Runge-Kutta methods, Error term, Parameter selection, Exponential fitting

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Please use this url to cite or link to this publication:

Chicago
Van Daele, Marnix, and Davy Hollevoet. 2013. “Deferred Correction Based on Exponentially Fitted Mono-implicit Runge-Kutta Methods.” In Proceedings of the 14th International Conference on Mathematical Methods in Science and Engineering, CMMSE, Cabo De Gata, Almeria, Spain, ed. IP Hamilton and J Vigo-Aguiar, 1369–1380.
APA
Van Daele, Marnix, & Hollevoet, D. (2013). Deferred correction based on exponentially fitted mono-implicit Runge-Kutta methods. In I. Hamilton & J. Vigo-Aguiar (Eds.), Proceedings of the 14th international conference on mathematical methods in science and engineering, CMMSE, Cabo de Gata, Almeria, Spain (pp. 1369–1380). Presented at the 14th International Conference on Mathematical Methods in Science and Engineering (CMMSE 2013).
Vancouver
1.
Van Daele M, Hollevoet D. Deferred correction based on exponentially fitted mono-implicit Runge-Kutta methods. In: Hamilton I, Vigo-Aguiar J, editors. Proceedings of the 14th international conference on mathematical methods in science and engineering, CMMSE, Cabo de Gata, Almeria, Spain. 2013. p. 1369–80.
MLA
Van Daele, Marnix, and Davy Hollevoet. “Deferred Correction Based on Exponentially Fitted Mono-implicit Runge-Kutta Methods.” Proceedings of the 14th International Conference on Mathematical Methods in Science and Engineering, CMMSE, Cabo De Gata, Almeria, Spain. Ed. IP Hamilton & J Vigo-Aguiar. 2013. 1369–1380. Print.
@inproceedings{4318412,
  abstract     = {The combination of exponential fitting and deferred correction based on mono-implicit Runge-Kutta (MIRK) methods is discussed. Particular attention is given to the parameter selection of the exponentially fitted deferred correction schemes to annihilate or minimize the leading error term. Several algorithms are discussed and illustrated with numerical results.},
  author       = {Van Daele, Marnix and Hollevoet, Davy},
  booktitle    = {Proceedings of the 14th international conference on mathematical methods in science and engineering, CMMSE, Cabo de Gata, Almeria, Spain},
  editor       = {Hamilton, IP and Vigo-Aguiar, J},
  isbn         = {9788461627233},
  keyword      = {Boundary value problems,Mono-implicit Runge-Kutta methods,Error term,Parameter selection,Exponential fitting},
  language     = {eng},
  location     = {Almeria, Spain},
  pages        = {1369--1380},
  title        = {Deferred correction based on exponentially fitted mono-implicit Runge-Kutta methods},
  year         = {2013},
}