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

Kód výsledku v 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>
Výsledek na webu
<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>

Jazyk výsledku
angličtina
Název v původním jazyce
Critical Points Properties of Ordinary Differential Equations as a Projection of Implicit Functions Using Spatio-Temporal Taylor Expansion
Popis výsledku v původním jazyce
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).
Název v anglickém jazyce
Critical Points Properties of Ordinary Differential Equations as a Projection of Implicit Functions Using Spatio-Temporal Taylor Expansion
Popis výsledku anglicky
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).

Druh
D - Stať ve sborníku
CEP obor
—
OECD FORD obor
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2022
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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