Detail publikačního výsledku

Numerical integration in the RNS

KOPŘIVA, J.; KUNOVSKÝ, J.; ŠÁTEK, V.; KOCINA, F.; TALIC, E.

Originální název

Numerical integration in the RNS

Anglický název

Numerical integration in the RNS

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

KOPŘIVA, J.; KUNOVSKÝ, J.; ŠÁTEK, V.; KOCINA, F.; TALIC, E.

Rok RIV

2016

Vydáno

13.09.2013

Nakladatel

Faculty of Electrical Engineering and Informatics, University of Technology Košice

Místo

Košice

ISBN

978-80-8143-127-2

Kniha

The Proceedings of the 12th Conference Informatics'2013

Strany od

318

Strany do

322

Strany počet

5

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"
}