Methodology of the 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

Methodology of the Taylor Series Based Computations

Popis výsledku v původním jazyce

In this paper an outline is presented of historical and current developments in the application of recurrent Taylor series to the integration of systems of ordinary differential equations. The principal idea of an extremely accurate and fast method for numerical solutions of ordinary differential equations is presented in the paper.<br>In general Taylor series are not included or not even mentioned in surveys on numerical integration techniques as the programs were written by mathematicians with the main objective of demonstrating the feasibility of the concept and with the goal of providing integration algorithms of very high accuracy. For this reason the programs should be looked upon as a stimulus for writing more advanced software employing Taylorseries better able to compete with programs using other methods. An attempt in this direction is TKSL [8], a program the results of which will be dealt with.

Název v anglickém jazyce

Methodology of the Taylor Series Based Computations

Popis výsledku anglicky

In this paper an outline is presented of historical and current developments in the application of recurrent Taylor series to the integration of systems of ordinary differential equations. The principal idea of an extremely accurate and fast method for numerical solutions of ordinary differential equations is presented in the paper.<br>In general Taylor series are not included or not even mentioned in surveys on numerical integration techniques as the programs were written by mathematicians with the main objective of demonstrating the feasibility of the concept and with the goal of providing integration algorithms of very high accuracy. For this reason the programs should be looked upon as a stimulus for writing more advanced software employing Taylorseries better able to compete with programs using other methods. An attempt in this direction is TKSL [8], a program the results of which will be dealt with.

Druh

D - Stať ve sborníku

CEP obor

JC - Počítačový hardware a software

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2009

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of Third Asia International Conference on Modelling and Simulation

ISBN

978-0-7695-3648-4

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

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Název nakladatele

IEEE Computer Society

Místo vydání

Bandung/Bali

Místo konání akce

Bandung, Bali

Datum konání akce

25. 5. 2009

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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