Publication detail

Numerical integration in the RNS

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

Original Title

Numerical integration in the RNS

Type

conference paper

Language

English

Original 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

Authors

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

RIV year

2013

Released

13. 9. 2013

Publisher

Faculty of Electrical Engineering and Informatics, University of Technology Košice

Location

Košice

ISBN

978-80-8143-127-2

Book

The Proceedings of the 12th Conference Informatics'2013

Pages from

318

Pages to

322

Pages count

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"
}