Methodology of the Taylor Series Based Computations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F09%3APU82626" target="_blank" >RIV/00216305:26230/09:PU82626 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Methodology of the Taylor Series Based Computations
Original language description
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.
Czech name
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Czech description
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Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
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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Number of pages
6
Pages from-to
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Publisher name
IEEE Computer Society
Place of publication
Bandung/Bali
Event location
Bandung, Bali
Event date
May 25, 2009
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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