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Numerical integration in the RNS

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F13%3APU106423" target="_blank" >RIV/00216305:26230/13:PU106423 - isvavai.cz</a>

  • Alternative codes found

    RIV/61989100:27740/13:86087711

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical integration in the RNS

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    The Proceedings of the 12th Conference Informatics'2013

  • ISBN

    978-80-8143-127-2

  • ISSN

  • e-ISSN

  • Number of pages

    5

  • Pages from-to

    318-322

  • Publisher name

    Faculty of Electrical Engineering and Informatics, University of Technology Košice

  • Place of publication

    Košice

  • Event location

    Spišská Nová Ves

  • Event date

    Nov 5, 2013

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article