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Exponential fitting techniques for the solution of stiff problems with explicit methods

JI Montijano, L Rández, Marnix Van Daele UGent and M Calvo (2015) AIP Conference Proceedings. In AIP Conference Proceedings 1648.
abstract
In this talk the use of exponentially fitting techniques to solve, by means of explicit RK methods, stiff problems is analyzed. The construction of explicit methods with a stability region adequate for problems in which the spectrum has a gap is studied. The order stiff of the proposed methods is also considered, obtaining conditions that guarantee a prefixed stiff order. Numerical experiments showing the performance of the methods are presented.
Please use this url to cite or link to this publication:
author
organization
year
type
conference (proceedingsPaper)
publication status
published
subject
keyword
Exponential fitting, Stiff systems, Runge-Kutta, Stability
in
AIP Conference Proceedings
editor
TE 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
020010
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
000355339700010
ISSN
0094-243X
ISBN
9780735412873
DOI
10.1063/1.4912314
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
7070643
handle
http://hdl.handle.net/1854/LU-7070643
date created
2016-02-03 16:02:53
date last changed
2017-01-02 09:53:31
@inproceedings{7070643,
  abstract     = {In this talk the use of exponentially fitting techniques to solve, by means of explicit RK methods, stiff problems is analyzed. The construction of explicit methods with a stability region adequate for problems in which the spectrum has a gap is studied. The order stiff of the proposed methods is also considered, obtaining conditions that guarantee a prefixed stiff order. Numerical experiments showing the performance of the methods are presented.},
  articleno    = {020010},
  author       = {Montijano, JI and R{\'a}ndez, L and Van Daele, Marnix and Calvo, M},
  booktitle    = {AIP Conference Proceedings},
  editor       = {Simos, TE and Tsitouras, C},
  isbn         = {9780735412873},
  issn         = {0094-243X},
  keyword      = {Exponential fitting,Stiff systems,Runge-Kutta,Stability},
  language     = {eng},
  location     = {Rhodes, Greece},
  pages        = {4},
  publisher    = {American Institute of Physics (AIP)},
  title        = {Exponential fitting techniques for the solution of stiff problems with explicit methods},
  url          = {http://dx.doi.org/10.1063/1.4912314},
  volume       = {1648},
  year         = {2015},
}

Chicago
Montijano, JI, L Rández, Marnix Van Daele, and M Calvo. 2015. “Exponential Fitting Techniques for the Solution of Stiff Problems with Explicit Methods.” In AIP Conference Proceedings, ed. TE Simos and C Tsitouras. Vol. 1648. Melville, NY, USA: American Institute of Physics (AIP).
APA
Montijano, J., Rández, L., Van Daele, M., & Calvo, M. (2015). Exponential fitting techniques for the solution of stiff problems with explicit methods. In TE 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.
Montijano J, Rández L, Van Daele M, Calvo M. Exponential fitting techniques for the solution of stiff problems with explicit methods. In: Simos T, Tsitouras C, editors. AIP Conference Proceedings. Melville, NY, USA: American Institute of Physics (AIP); 2015.
MLA
Montijano, JI, L Rández, Marnix Van Daele, et al. “Exponential Fitting Techniques for the Solution of Stiff Problems with Explicit Methods.” AIP Conference Proceedings. Ed. TE Simos & C Tsitouras. Vol. 1648. Melville, NY, USA: American Institute of Physics (AIP), 2015. Print.