Publication detail

Taylor Series Method in Numerical Integration: Linear and Nonlinear problems

VEIGEND, P. NEČASOVÁ, G. ŠÁTEK, V.

Original Title

Taylor Series Method in Numerical Integration: Linear and Nonlinear problems

Type

conference paper

Language

English

Original 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. 

Keywords

ODE, numerical solution, IVP, MTSM, MATLAB

Authors

VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V.

Released

30. 1. 2023

Publisher

IEEE Communications Society

Location

Poprad

ISBN

979-8-3503-1034-4

Book

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

Pages from

239

Pages to

244

Pages count

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"
}