Publication Details

Numerical integration in the RNS

KOPŘIVA Jan, KUNOVSKÝ Jiří, ŠÁTEK Václav, KOCINA Filip and TALIC Emir. Numerical integration in the RNS. In: The Proceedings of the 12th Conference Informatics'2013. Košice: Faculty of Electrical Engineering and Informatics, University of Technology Košice, 2013, pp. 318-322. ISBN 978-80-8143-127-2.
Czech title
Numerická integrace v RNS
Type
conference paper
Language
english
Authors
Kopřiva Jan, Ing. Ing. (DITS FIT BUT)
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Kocina Filip, Ing., Ph.D. (DITS FIT BUT)
Talic Emir (TU-Wien)
Keywords

The Residue Number System (RNS), Ordinary Differential Equations (ODEs), Numerical Integration Methods

Abstract

The Residue Number System (RNS) usually uses integer numbers. The computation is exact from this reason. As some problems like solutions of ordinary differential equations (ODEs) are unsolvable without modification, this paper proposes a transformation from the integer binary RNS to the floating point binary RNS. The computation using the floating point numbers is exact after the transformation. Solutions of ODEs are presented in the paper. One-step integration methods (Euler, Heun, Runge-Kutta) are adapted to RNS to solve simple ODEs with exact precision.

Published
2013
Pages
318-322
Proceedings
The Proceedings of the 12th Conference Informatics'2013
Conference
Informatics 2013 - 12th International Scientific Conference on Informatics, Spišská Nová Ves, SK
ISBN
978-80-8143-127-2
Publisher
Faculty of Electrical Engineering and Informatics, University of Technology Košice
Place
Košice, SK
UT WoS
000366004200057
BibTeX 
@INPROCEEDINGS{FITPUB10444,
   author = "Jan Kop\v{r}iva and Ji\v{r}\'{i} Kunovsk\'{y} and V\'{a}clav \v{S}\'{a}tek and Filip Kocina and Emir Talic",
   title = "Numerical integration in the RNS",
   pages = "318--322",
   booktitle = "The Proceedings of the 12th Conference Informatics'2013",
   year = 2013,
   location = "Ko\v{s}ice, SK",
   publisher = "Faculty of Electrical Engineering and Informatics, University of Technology Ko\v{s}ice",
   ISBN = "978-80-8143-127-2",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/10444"
}
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