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Explicit and Implicit Taylor Series Based Computations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F10%3APU89629" target="_blank" >RIV/00216305:26230/10:PU89629 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Explicit and Implicit Taylor Series Based Computations

  • Original language description

    This paper deals with computer simulations of continuous systems. The research group &quot;High performance computing&quot;<br>has been working on extremely exact and fast solutions of homogenous differential equations, nonlinear ordinary and partial<br>differential equations, stiff systems, large systems of algebraic equations, real time simulations and corresponding software<br>and hardware (parallel) implementations since 1980.<br>The Modern Taylor Series Method (MTSM) developed at our university isan original mathematical method which uses<br>the Taylor series method for solving differential equations in a non-traditional way.<br>Unfortunately, it is easier said than done as there are some peculiar systems of differential equations, which cannot be<br>solved by commonly used (explicit) methods - the stiff systems.While the definition of this kind of systems is intuitively clear<br>to the mathematicians the exact definition has not been specified yet. Often unnoticed, stiff systems

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    8th International Conference of Numerical Analysis and Applied Mathematics

  • ISBN

    978-0-7354-0831-9

  • ISSN

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

  • Publisher name

    American Institute of Physics

  • Place of publication

    Tripolis

  • Event location

    Rhodes, Greece

  • Event date

    Sep 19, 2010

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article