Result Details

Numerical integration in the RNS

KOPŘIVA, J.; KUNOVSKÝ, J.; ŠÁTEK, V.; KOCINA, F.; TALIC, E. 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. p. 318-322. ISBN: 978-80-8143-127-2.
Type
conference paper
Language
English
Authors
Kopřiva Jan, Ing. et Ing., Ph.D., FIT (FIT)
Kunovský Jiří, doc. Ing., CSc., DIFS (FIT), DITS (FIT)
Šátek Václav, Ing., Ph.D., DITS (FIT)
Kocina Filip, Ing., Ph.D., FIT (FIT), DITS (FIT)
Talic Emir
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.

Keywords

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

Published
2013
Pages
318–322
Proceedings
The Proceedings of the 12th Conference Informatics'2013
Conference
Informatics 2013 - 12th International Scientific Conference on Informatics
ISBN
978-80-8143-127-2
Publisher
Faculty of Electrical Engineering and Informatics, University of Technology Košice
Place
Košice
UT WoS
000366004200057
BibTeX 
@inproceedings{BUT103563,
  author="Jan {Kopřiva} and Jiří {Kunovský} and Václav {Šátek} and Filip {Kocina} and Emir {Talic}",
  title="Numerical integration in the RNS",
  booktitle="The Proceedings of the 12th Conference Informatics'2013",
  year="2013",
  pages="318--322",
  publisher="Faculty of Electrical Engineering and Informatics, University of Technology Košice",
  address="Košice",
  isbn="978-80-8143-127-2"
}
Projects
Centrum excelence IT4Innovations, MŠMT, Operační program Výzkum a vývoj pro inovace, ED1.1.00/02.0070, start: 2011-01-01, end: 2015-12-31, completed
Efficient Application of Modern Taylor Series Methods to Stiff and High-Order Systems, OVZ, Ostatní veřejné zdroje financování nepatřící do institucionálních zdrojů ČR, Aktion-64p13, start: 2012-07-02, end: 2013-06-30, completed
Security-Oriented Research in Information Technology, MŠMT, Institucionální prostředky SR ČR (např. VZ, VC), MSM0021630528, start: 2007-01-01, end: 2013-12-31, running
Research groups
High Performance Computing Research Group (RG HPC)
Departments
Department of Intelligent Systems (DITS)
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