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Accuracy and Word Width in TKSL

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F08%3APU76788" target="_blank" >RIV/00216305:26230/08:PU76788 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Accuracy and Word Width in TKSL

  • Original language description

    Homogeneous differential equations with constant coefficients<br>are analysed in the paper to show how extremely high accuracy and speed of computations can be obtained using Taylor series for numerical solutions of differential equations. Two examples of homogeneous differential equations and their solutions by the Modern Taylor Series Method will be analysed in this paper. The main idea behind the Modern Taylor Series Method is an automatic integration method order setting, i.e. using as many Taylor series terms for computing as needed to achieve the required accuracy. The Modern Taylor Series Method used in the computations increases the method order automatically, i.e. the values of the Taylor series terms are computed for increasing integer valuesof p until adding the next term does not improve the accuracy of the solution.

  • Czech name

    Accuracy and Word Width in TKSL

  • Czech description

    V článku je ukázáno řešení homegenní diferenciální rovnice s konstantními koeficienty. Na tomto řešení je předvedena extrémní přesnost a rychlost výpočtu pomocí Taylorovy řady. Jsou zde porovnány různé šířky výpočetní aritmetiky. Moderní metoda Taylorovyřady vyniká vysokou přesností a rychlostí výpočtu. Jedná se o metodu, která automaticky mění integrační krok.<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

    Second UKSIM European Symposium on Computer Modeling and Simulation

  • ISBN

    978-0-7695-3325-4

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

  • Publisher name

    IEEE Computer Society

  • Place of publication

    Liverpool

  • Event location

    Liverpool

  • Event date

    Sep 8, 2008

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article