Publication Details

Taylor Series Based Numerical Integration Method

VEIGEND Petr, NEČASOVÁ Gabriela and ŠÁTEK Václav. Taylor Series Based Numerical Integration Method. Open Computer Science, vol. 11, no. 1, 2021, pp. 60-69. ISSN 2299-1093. Available from: https://www.degruyter.com/document/doi/10.1515/comp-2020-0163/html
Czech title
Integrační metoda založena na Taylorově řadě
Type
journal article
Language
english
Authors
Veigend Petr, Ing., Ph.D. (DITS FIT BUT)
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
URL
Keywords

ordinary differential equations, initial value problems, autonomous systems, Taylor series, MTSM, MATLAB

Abstract

This paper deals with the high order integration method based on the Taylor series. The paper shows many positive properties of this method on a set of technical initial value problems. The MATLAB implementation of Taylor Series Method is compared with state-of-the-art MATLAB solvers.

Published
2021
Pages
60-69
Journal
Open Computer Science, vol. 11, no. 1, ISSN 2299-1093
Publisher
Walter de Gruyter
DOI
10.1515/comp-2020-0163
UT WoS
000608692900001
EID Scopus
2-s2.0-85099152358
BibTeX 
@ARTICLE{FITPUB12193,
   author = "Petr Veigend and Gabriela Ne\v{c}asov\'{a} and V\'{a}clav \v{S}\'{a}tek",
   title = "Taylor Series Based Numerical Integration Method",
   pages = "60--69",
   journal = "Open Computer Science",
   volume = 11,
   number = 1,
   year = 2021,
   ISSN = "2299-1093",
   doi = "10.1515/comp-2020-0163",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/12193"
}
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