Publication Details

Taylor Series Method in Numerical Integration: Linear and Nonlinear problems

VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V. 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. p. 239-244. ISBN: 979-8-3503-1034-4.

Type

conference paper

Language

English

Authors

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

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

ISBN

979-8-3503-1034-4

Publisher

IEEE Communications Society

Place

Poprad

DOI

10.1109/Informatics57926.2022.10083462

EID Scopus

2-s2.0-85153364377

BibTeX

@inproceedings{BUT185117,
  author="Petr {Veigend} and Gabriela {Nečasová} and Václav {Šátek}",
  title="Taylor Series Method in Numerical Integration: Linear and Nonlinear problems",
  booktitle="2022 IEEE 16th International Scientific Conference on Informatics, Informatics 2022 - Proceedings",
  year="2023",
  pages="239--244",
  publisher="IEEE Communications Society",
  address="Poprad",
  doi="10.1109/Informatics57926.2022.10083462",
  isbn="979-8-3503-1034-4"
}