Publication result detail

Taylor Series Based Numerical Integration Method

VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V.

Original Title

Taylor Series Based Numerical Integration Method

English Title

Taylor Series Based Numerical Integration Method

Type

WoS Article

Original 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.

English 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

Key words in English

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

Authors

VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V.

RIV year

2022

Released

18.12.2020

ISBN

2299-1093

Periodical

Open Computer Science

Volume

11

Number

1

State

Republic of Poland

Pages from

60

Pages to

69

Pages count

10

URL

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"
}