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Critical Points Properties of Ordinary Differential Equations as a Projection of Implicit Functions Using Spatio-Temporal Taylor Expansion

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F22%3A43968467" target="_blank" >RIV/49777513:23520/22:43968467 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/chapter/10.1007/978-3-031-10450-3_15" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-031-10450-3_15</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-031-10450-3_15" target="_blank" >10.1007/978-3-031-10450-3_15</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Critical Points Properties of Ordinary Differential Equations as a Projection of Implicit Functions Using Spatio-Temporal Taylor Expansion

  • Original language description

    This contribution describes a new approach to formulation of ODE and PDE critical points using implicit formulation as t-variant scalar function using the Taylor expansion. A general condition for the critical points is derived and specified for t invariant case. It is expected, that the given new formulae lead to more reliable detection of critical points especially for large 3D fluid flow data acquisition, which enable high 3D vector compression and their representation using radial basis functions (RBF).

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Computational Science and Its Applications – ICCSA 2022

  • ISBN

    978-3-031-10449-7

  • ISSN

    0302-9743

  • e-ISSN

    1611-3349

  • Number of pages

    8

  • Pages from-to

    197-204

  • Publisher name

    Springer

  • Place of publication

    Cham

  • Event location

    Malaga, Spain

  • Event date

    Jul 4, 2022

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000916455600015