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On the implementation of parallel iterated Runge-Kutta methods on a transputer network

Hans De Meyer UGent, Marnix Van Daele UGent and Guido Vanden Berghe UGent (1993) APPLIED NUMERICAL MATHEMATICS. 13(1-3). p.155-163
abstract
A parallel iterated Runge-Kutta formula (PIRK) of eighth order is implemented on a transputer network. Tests are carried out for different network configurations. Efficiently measures are obtained with respect to the corresponding sequential PIRK8 method and with respect to the standard sequential DOPRI8 algorithm. It turns out that execution times are affected by communication and synchronization aspects and also in some cases by the particular ordering in which certain numerical calculations are performed.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (proceedingsPaper)
publication status
published
subject
keyword
PIRK METHODS, RUNGE-KUTTA METHODS, PARALLEL ALGORITHMS, TRANSPUTERS
journal title
APPLIED NUMERICAL MATHEMATICS
Appl. Numer. Math.
volume
13
issue
1-3
pages
155 - 163
conference name
6th Conference of the Numerical Treatment of Differential Equation (NUMDIFF-6)
conference location
Halle, Germany
conference start
1992-09-21
conference end
1992-09-25
Web of Science type
Article
ISSN
0168-9274
DOI
10.1016/0168-9274(93)90139-I
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
203130
handle
http://hdl.handle.net/1854/LU-203130
date created
2004-01-14 13:42:00
date last changed
2016-12-19 15:38:29
@article{203130,
  abstract     = {A parallel iterated Runge-Kutta formula (PIRK) of eighth order is implemented on a transputer network. Tests are carried out for different network configurations. Efficiently measures are obtained with respect to the corresponding sequential PIRK8 method and with respect to the standard sequential DOPRI8 algorithm. It turns out that execution times are affected by communication and synchronization aspects and also in some cases by the particular ordering in which certain numerical calculations are performed.},
  author       = {De Meyer, Hans and Van Daele, Marnix and Vanden Berghe, Guido},
  issn         = {0168-9274},
  journal      = {APPLIED NUMERICAL MATHEMATICS},
  keyword      = {PIRK METHODS,RUNGE-KUTTA METHODS,PARALLEL ALGORITHMS,TRANSPUTERS},
  language     = {eng},
  location     = {Halle, Germany},
  number       = {1-3},
  pages        = {155--163},
  title        = {On the implementation of parallel iterated Runge-Kutta methods on a transputer network},
  url          = {http://dx.doi.org/10.1016/0168-9274(93)90139-I},
  volume       = {13},
  year         = {1993},
}

Chicago
De Meyer, Hans, Marnix Van Daele, and Guido Vanden Berghe. 1993. “On the Implementation of Parallel Iterated Runge-Kutta Methods on a Transputer Network.” Applied Numerical Mathematics 13 (1-3): 155–163.
APA
De Meyer, Hans, Van Daele, M., & Vanden Berghe, G. (1993). On the implementation of parallel iterated Runge-Kutta methods on a transputer network. APPLIED NUMERICAL MATHEMATICS, 13(1-3), 155–163. Presented at the 6th Conference of the Numerical Treatment of Differential Equation (NUMDIFF-6).
Vancouver
1.
De Meyer H, Van Daele M, Vanden Berghe G. On the implementation of parallel iterated Runge-Kutta methods on a transputer network. APPLIED NUMERICAL MATHEMATICS. 1993;13(1-3):155–63.
MLA
De Meyer, Hans, Marnix Van Daele, and Guido Vanden Berghe. “On the Implementation of Parallel Iterated Runge-Kutta Methods on a Transputer Network.” APPLIED NUMERICAL MATHEMATICS 13.1-3 (1993): 155–163. Print.