Explicit and Implicit Taylor Series Based Computations

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Explicit and Implicit Taylor Series Based Computations

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Explicit and Implicit Taylor Series Based Computations

Popis výsledku anglicky

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

Druh

D - Stať ve sborníku

CEP obor

IN - Informatika

OECD FORD obor

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Projekt

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Návaznosti

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

Rok uplatnění

2010

Kód důvěrnosti údajů

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

Název statě ve sborníku

8th International Conference of Numerical Analysis and Applied Mathematics

ISBN

978-0-7354-0831-9

ISSN

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e-ISSN

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Počet stran výsledku

4

Strana od-do

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Název nakladatele

American Institute of Physics

Místo vydání

Tripolis

Místo konání akce

Rhodes, Greece

Datum konání akce

19. 9. 2010

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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