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  • 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.
  • 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. (en)
Title
  • Numerical integration in the RNS
  • Numerical integration in the RNS (en)
skos:prefLabel
  • Numerical integration in the RNS
  • Numerical integration in the RNS (en)
skos:notation
  • RIV/00216305:26230/13:PU106423!RIV15-MSM-26230___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(ED1.1.00/02.0070), Z(MSM0021630528)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 92538
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26230/13:PU106423
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • The Residue Number System (RNS), Ordinary Differential Equations (ODEs), Numerical Integration Methods (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [42EA3D45577C]
http://linked.open...v/mistoKonaniAkce
  • Spišská Nová Ves
http://linked.open...i/riv/mistoVydani
  • Košice
http://linked.open...i/riv/nazevZdroje
  • The Proceedings of the 12th Conference Informatics'2013
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Kopřiva, Jan
  • Kunovský, Jiří
  • Šátek, Václav
  • Kocina, Filip
  • Talic, Emir
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Technická univerzita v Košiciach. Fakulta elektrotechniky a informatiky
https://schema.org/isbn
  • 978-80-8143-127-2
http://localhost/t...ganizacniJednotka
  • 26230
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