Publication Details

Taylor Series Based Numerical Integration Method

VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V. Taylor Series Based Numerical Integration Method. Open Computer Science, 2021, vol. 11, no. 1, p. 60-69. ISSN: 2299-1093.

Czech title

Integrační metoda založena na Taylorově řadě

Type

journal article

Language

English

Authors

Veigend Petr, Ing., Ph.D. (DITS)
Nečasová Gabriela, Ing., Ph.D. (DITS)
Šátek Václav, Ing., Ph.D. (DITS)

URL

https://www.degruyter.com/document/doi/10.1515/comp-2020-0163/html

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

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="2021",
  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"
}