The Positive Properties of Taylor Series Method

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F15%3APU117260" target="_blank" >RIV/00216305:26230/15:PU117260 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1109/Informatics.2015.7377825" target="_blank" >http://dx.doi.org/10.1109/Informatics.2015.7377825</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/Informatics.2015.7377825" target="_blank" >10.1109/Informatics.2015.7377825</a>

Result language

angličtina

Original language name

The Positive Properties of Taylor Series Method

Original language description

The paper deals with the computation which is based on an original mathematical method.  This method uses the Taylor series for solving differential equations in a non-traditional way. The Modern Taylor Series is based on a recurrent calculation of the Taylor series terms for each time interval. Thus the complicated calculation of higher order derivatives (much criticised in the literature) need not be performed but rather the value of each Taylor series term is numerically calculated. Solving the convolution operations is another typical algorithm used. An important part of the method is an automatic integration order setting, i.e. using as many Taylor series terms as the defined accuracy requires. Thus it is usual that the computation uses different numbers of Taylor series terms for different steps of constant length. An automatic transformation of the original problem is a necessary part of the Modern Taylor Series Method. The original system of differential equations is automatically transformed to a polynomial form, i.e. to a form suitable for easily calculating the Taylor series forms using recurrent formulae. The "Modern Taylor Series Method" also has some properties very favourable for parallel processing. Many calculation operations are independent making it possible to perform the calculations independently using separate processors of parallel computing systems.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

—

OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2015

Confidentiality

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

Article name in the collection

Proceedings of the 13th International Conference Informatics' 2015

ISBN

978-1-4673-9867-1

ISSN

—

e-ISSN

—

Number of pages

6

Pages from-to

156-160

Publisher name

Institute of Electrical and Electronics Engineers

Place of publication

Poprad

Event location

Poprad

Event date

Nov 18, 2015

Type of event by nationality

EUR - Evropská akce

UT code for WoS article

000380535000028