Result Details

Taylor Series Based Numerical Integration Method

VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V. Taylor Series Based Numerical Integration Method. Open Computer Science, 2020, vol. 11, no. 1, p. 60-69. ISSN: 2299-1093.
Type
journal article
Language
English
Authors
Veigend Petr, Ing., Ph.D., DITS (FIT)
Nečasová Gabriela, Ing., Ph.D.
Šátek Václav, Ing., Ph.D., DITS (FIT)
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.

Keywords

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

URL
Published
2020
Pages
60–69
Journal
Open Computer Science, vol. 11, no. 1, ISSN 2299-1093
DOI
10.1515/comp-2020-0163
UT WoS
000608692900001
EID Scopus
2-s2.0-85099152358
BibTeX 
@article{BUT168523,
  author="Petr {Veigend} and Gabriela {Nečasová} and Václav {Šátek}",
  title="Taylor Series Based Numerical Integration Method",
  journal="Open Computer Science",
  year="2020",
  volume="11",
  number="1",
  pages="60--69",
  doi="10.1515/comp-2020-0163",
  issn="2299-1093",
  url="https://www.degruyter.com/document/doi/10.1515/comp-2020-0163/html"
}
Projects
Spolehlivé, bezpečné a efektivní počítačové systémy, BUT, Vnitřní projekty VUT, FIT-S-20-6427, start: 2020-03-01, end: 2023-02-28, completed
Research groups
High Performance Computing Research Group (RG HPC)
Departments
Department of Intelligent Systems (DITS)
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