Technical Initial Problems and Automatic Transformation
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F09%3APU82694" target="_blank" >RIV/00216305:26230/09:PU82694 - isvavai.cz</a>
Výsledek na webu
—
DOI - Digital Object Identifier
—
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Technical Initial Problems and Automatic Transformation
Popis výsledku v původním jazyce
In this paper an outline is given of historical and current developments in the application of recurrent Taylor series to the integration of systems of ordinary differential equations. Then an extremely accurate and fast method for the numerical solutionof ordinary differential equations is presented.<br>In general Taylor series method is not included or even mentioned in surveys on numerical integration techniques as the programs were written by mathematicians with the main objective of demonstratingthe feasibility of the concept and with the goal of &#64257;nding integration algorithms of very high accuracy. For this reason such programs should be looked upon as a stimulus for writing more advanced software employing Taylor series better able to compete with programs using other methods. An attempt in this direction is TKSL, a program the results of which will be dealt with.<br>
Název v anglickém jazyce
Technical Initial Problems and Automatic Transformation
Popis výsledku anglicky
In this paper an outline is given of historical and current developments in the application of recurrent Taylor series to the integration of systems of ordinary differential equations. Then an extremely accurate and fast method for the numerical solutionof ordinary differential equations is presented.<br>In general Taylor series method is not included or even mentioned in surveys on numerical integration techniques as the programs were written by mathematicians with the main objective of demonstratingthe feasibility of the concept and with the goal of &#64257;nding integration algorithms of very high accuracy. For this reason such programs should be looked upon as a stimulus for writing more advanced software employing Taylor series better able to compete with programs using other methods. An attempt in this direction is TKSL, a program the results of which will be dealt with.<br>
Klasifikace
Druh
D - Stať ve sborníku
CEP obor
JC - Počítačový hardware a software
OECD FORD obor
—
Návaznosti výsledku
Projekt
—
Návaznosti
Z - Vyzkumny zamer (s odkazem do CEZ)
Ostatní
Rok uplatnění
2009
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název statě ve sborníku
2009 International Conference on Computational Intelligence, Modelling and Simulation
ISBN
978-0-7695-3795-5
ISSN
—
e-ISSN
—
Počet stran výsledku
6
Strana od-do
—
Název nakladatele
IEEE Computer Society
Místo vydání
Brno
Místo konání akce
Brno
Datum konání akce
7. 9. 2009
Typ akce podle státní příslušnosti
WRD - Celosvětová akce
Kód UT WoS článku
—