Conference paper

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.
Publication language:english
Original title:Numerical integration in the RNS
Title (cs):Numerická integrace v RNS
Pages:318-322
Proceedings:The Proceedings of the 12th Conference Informatics'2013
Conference:Informatics 2013 - 12th International Scientific Conference on Informatics
Place:Košice, SK
Year:2013
ISBN:978-80-8143-127-2
Publisher:Faculty of Electrical Engineering and Informatics, University of Technology Košice
Keywords
The Residue Number System (RNS), Ordinary Differential Equations (ODEs), Numerical Integration Methods
Annotation
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.
BibTeX:
@INPROCEEDINGS{
   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 = {http://www.fit.vutbr.cz/research/view_pub.php?id=10444}
}

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