Stability and Convergence of the Modern Taylor Series Method
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F10%3APU89611" target="_blank" >RIV/00216305:26230/10:PU89611 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Stability and Convergence of the Modern Taylor Series Method
Original language description
The paper deals with extremely exact, stable and fast numerical solutions of systems of differential equations. In a natural way, it also involves solutions of problems that can be transformed to solving a system of differential equations.<br>The projectis based on an original mathematical method which uses the Taylor series method for solving differential equations.<br>The Taylor Series Method is based on a recurrent calculation of the Taylor series terms for each time interval. Thus the complicated calculation of higher order derivatives (much criticized in the literature) need not be performed but rather the value of each Taylor series term is numerically calculated. Another typical algorithm is the convolution operation. Stability and convergenceof the numerical integration methods when the Dahlquist problem is solved, Taylorian initial problems with automatic transformation, stability and convergence of a system of linear algebraic equations and stability and convergence when al
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
IN - Informatics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the 7th EUROSIM Congress on Modelling and Simulation
ISBN
978-80-01-04589-3
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
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Publisher name
Czech Technical University Publishing House
Place of publication
Praha
Event location
Diplomat Hotel, Praha
Event date
Sep 6, 2010
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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