TKSL a detekce stiff soustav

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F04%3APU49066" target="_blank" >RIV/00216305:26230/04:PU49066 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

TKSL and Stiff System Detection

Popis výsledku v původním jazyce

The paper is based on an original mathematical method which uses the Taylor series method for solving differential equations in<br> a non-traditional way. The outstanding feature of the newly developed MTSM (Modern Taylor Series Method) is very high accuracy and speed of the computation. Besides, it has some properties very favourable for parallel processing as only the basic mathematical operations are used during the computation.<br> The Modern Taylor Series Method has been implemented into TKSL/C. Thhe program is able to solve very large systems of ordinary differential equations.<br> <br> However, in technical practice we often have to deal with stiff systems of differential equations. The aim of this paper is to show the stiff system detection andthe way of changing the integration step during the computation process when using the Modern Taylor Series Method.

Název v anglickém jazyce

TKSL and Stiff System Detection

Popis výsledku anglicky

The paper is based on an original mathematical method which uses the Taylor series method for solving differential equations in<br> a non-traditional way. The outstanding feature of the newly developed MTSM (Modern Taylor Series Method) is very high accuracy and speed of the computation. Besides, it has some properties very favourable for parallel processing as only the basic mathematical operations are used during the computation.<br> The Modern Taylor Series Method has been implemented into TKSL/C. Thhe program is able to solve very large systems of ordinary differential equations.<br> <br> However, in technical practice we often have to deal with stiff systems of differential equations. The aim of this paper is to show the stiff system detection andthe way of changing the integration step during the computation process when using the Modern Taylor Series Method.

Druh

D - Stať ve sborníku

CEP obor

JC - Počítačový hardware a software

OECD FORD obor

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Projekt

<a href="/cs/project/GA102%2F01%2F1485" target="_blank" >GA102/01/1485: Prostředí pro vývoj, modelování a aplikaci heterogenních systémů</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2004

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the 3rd International Conference Aplimat

ISBN

80-227-1995-1

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

621-626

Název nakladatele

Slovak University of Technology in Bratislava

Místo vydání

Bratislava

Místo konání akce

Bratislava

Datum konání akce

4. 2. 2004

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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