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Multiple Arithmetic in Dynamic System Simulation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F08%3APU76695" target="_blank" >RIV/00216305:26230/08:PU76695 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Multiple Arithmetic in Dynamic System Simulation

  • Original language description

    A very interesting and promising numerical method of solving systems of ordinary differential equations based on Taylor series has appeared. The potential of the Taylor series has been exposed by many practical experiments and a way of detection and solution of large systems of ordinary differential equations has been found. Generally speaking, a stiff system contains several components, some of them are heavily suppressed while the rest remain almost unchanged. This feature forces the used method to choose an extremely small integration step and the progress of the computation may become very slow. There are many (implicit) methods for solving stiff systems of ODE's, from the most simple such as implicit Euler method to more sophisticated (implicit Runge-Kutta methods) and finally the general linear methods. Usually a quite complicated auxiliary system of equations has to be solved in each step. These facts lead to immense amount of work to be done in each step of the computation. The

  • Czech name

    Více slovní aritmetika v simulaci dynamických systémů

  • Czech description

    Práce obsahuje popis originální matematické metody využívající metodu Taylorovy řady pro řešení diferenciálních rovnic. Metoda Taylorovy řady je ukázána na tuhém systému obyčejných diferenciálních rovnic, kde je rovněž demonstrován vliv víceslovní aritmetiky na přesnost výpočtu.<br>

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    JC - Computer hardware and software

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings UKSim 10th International Conference EUROSIM/UKSim2008

  • ISBN

    0-7695-3114-8

  • ISSN

  • e-ISSN

  • Number of pages

    2

  • Pages from-to

  • Publisher name

    IEEE Computer Society

  • Place of publication

    Cambridge

  • Event location

    Cambridge

  • Event date

    Apr 1, 2008

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article