Publication Details

Extremly Exact and Fast Solutions of PDE' in a Transputer Network

KUNOVSKÝ, J.; MIKULÁŠEK, K.; ZBOŘIL, F. Extremly Exact and Fast Solutions of PDE' in a Transputer Network. Proceedings of the EUROSIM'96. Amsterdam: EUROSIM-FRANCOSIM-ARGESIM, 1996. p. 245-252. ISBN: 0-444-82559-2.
Czech title
Extrémě rychlé a řesné řešení PDR v transputerové síti
Type
conference paper
Language
English
Authors
Kunovský Jiří, doc. Ing., CSc.
Mikulášek Karel, RNDr., Ph.D. (MAT)
Zbořil František, doc. Ing., CSc. (DITS)
Keywords

Transputer Network, Parabolic PDE Hyperbolic PDE, Eliptic PDE, TKSL, Modern Taylor Series Method

Abstract

The paper deals with parallel solutions of partial differential equations (PDE) in a transputer network. The commonest examples of parabolic, hyperbolic and eliptic PDE are presented. The method of lines, as a numerical method of solving PDE's based on approximation of the derivatives by differences, is applied. Thus the solution of a PDE is transformed into the solution of a system of ordinary differential equations. A special Modern Taylor Series Method is used to solve the obtained system of ordinary differential equations.

Published
1996
Pages
245–252
Proceedings
Proceedings of the EUROSIM'96
ISBN
0-444-82559-2
Publisher
EUROSIM-FRANCOSIM-ARGESIM
Place
Amsterdam
BibTeX 
@inproceedings{BUT191451,
  author="Jiří {Kunovský} and Karel {Mikulášek} and František {Zbořil}",
  title="Extremly Exact and Fast Solutions of PDE' in a Transputer Network",
  booktitle="Proceedings of the EUROSIM'96",
  year="1996",
  pages="245--252",
  publisher="EUROSIM-FRANCOSIM-ARGESIM",
  address="Amsterdam",
  isbn="0-444-82559-2"
}
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