Publication Details

Taylor Series Method in Numerical Integration: Linear and Nonlinear problems

VEIGEND Petr, NEČASOVÁ Gabriela and ŠÁTEK Václav. Taylor Series Method in Numerical Integration: Linear and Nonlinear problems. In: 2022 IEEE 16th International Scientific Conference on Informatics, Informatics 2022 - Proceedings. Poprad: IEEE Communications Society, 2023, pp. 239-244. ISBN 979-8-3503-1034-4.
Type
conference paper
Language
english
Authors
Veigend Petr, Ing. (DITS FIT BUT)
Nečasová Gabriela, Ing. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Keywords

ODE, numerical solution, IVP, MTSM, MATLAB

Abstract

This article deals with the high order integration method based on the Taylor series. The paper shows positive properties of the Modern Taylor Series Method on a set of technical initial value problems. These problems can be transformed into the autonomous systems of ordinary differential equations for both linear and nonlinear problems, and the solution can be effectively parallelized. The numerical solution is analyzed and compared with the state-of-the-art solvers. 

Published
2023
Pages
239-244
Proceedings
2022 IEEE 16th International Scientific Conference on Informatics, Informatics 2022 - Proceedings
Conference
2022 IEEE 16th International Scientific Conference on Informatics, Poprad, SK
ISBN
979-8-3503-1034-4
Publisher
IEEE Communications Society
Place
Poprad, SK
DOI
10.1109/Informatics57926.2022.10083462
EID Scopus
2-s2.0-85153364377
BibTeX 
@INPROCEEDINGS{FITPUB12754,
   author = "Petr Veigend and Gabriela Ne\v{c}asov\'{a} and V\'{a}clav \v{S}\'{a}tek",
   title = "Taylor Series Method in Numerical Integration: Linear and Nonlinear problems",
   pages = "239--244",
   booktitle = "2022 IEEE 16th International Scientific Conference on Informatics, Informatics 2022 - Proceedings",
   year = 2023,
   location = "Poprad, SK",
   publisher = "IEEE Communications Society",
   ISBN = "979-8-3503-1034-4",
   doi = "10.1109/Informatics57926.2022.10083462",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/12754"
}
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