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Stiff Systems Analysis

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F12%3APU101875" target="_blank" >RIV/00216305:26230/12:PU101875 - isvavai.cz</a>

  • Result on the web

    <a href="http://acmbulletin.fiit.stuba.sk/vol4num3/vol4num3.pdf" target="_blank" >http://acmbulletin.fiit.stuba.sk/vol4num3/vol4num3.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Stiff Systems Analysis

  • Original language description

    The paper deals with stiff systems of differential equations. To solve this sort of system numerically is a diffult task. In spite of the fact that we come across stiff systems quite often in the common practice, a very interesting and promissing numerical method of solving systems of ordinary differential equations (ODE) based on Taylor series has appeared. The question was how to harness the said "Modern Taylor Series Method" (MTSM) for solving of stiff systems. The potential of the Taylor series hasbeen exposed by many practical experiments and a way of detection and explicit solution of large systems of ODE has been found. Detailed analysis of stability and convergence of explicit and implicit Taylor series is presented and a new algorithm using implicit Taylor series based on recurrent calculation of Taylor series terms and Newton iteration method (ITMRN) is described. The new method reducing stiffness in system based on finding new equivalent system of ODE "without stiffness" is

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>

  • 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

    2012

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Information Sciences and Technologies Bulletin of the ACM Slovakia

  • ISSN

    1338-1237

  • e-ISSN

  • Volume of the periodical

    4

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    SK - SLOVAKIA

  • Number of pages

    11

  • Pages from-to

    1-11

  • UT code for WoS article

  • EID of the result in the Scopus database