Detail publikace

Taylor Series Method in Numerical Integration: Linear and Nonlinear problems

VEIGEND, P. NEČASOVÁ, G. ŠÁTEK, V.

Originální název

Taylor Series Method in Numerical Integration: Linear and Nonlinear problems

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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. 

Klíčová slova

ODE, numerical solution, IVP, MTSM, MATLAB

Autoři

VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V.

Vydáno

30. 1. 2023

Nakladatel

IEEE Communications Society

Místo

Poprad

ISBN

979-8-3503-1034-4

Kniha

2022 IEEE 16th International Scientific Conference on Informatics, Informatics 2022 - Proceedings

Strany od

239

Strany do

244

Strany počet

6

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"
}