Publication result detail

Definite Integrals in TKSL, Maple and Matlab

KUNOVSKÝ, J.; HONZÍK, P.

Original Title

Definite Integrals in TKSL, Maple and Matlab

English Title

Definite Integrals in TKSL, Maple and Matlab

Type

Paper in proceedings outside WoS and Scopus

Original Abstract

For the derivatives of all decent functions analytic formulas can be found but with integration this is only true for very special decent functions. For all functions that have Taylor series the calculation of their integrals can be conducted indirectly via their derivatives. Thus, the problem of solving a definite one-dimensional integral taken as a function of the upper boundary can be transformed to solving a system of differential equations. The best way how to solve the system of differential equations is to use the Modern Taylor Series Method.

English abstract

For the derivatives of all decent functions analytic formulas can be found but with integration this is only true for very special decent functions. For all functions that have Taylor series the calculation of their integrals can be conducted indirectly via their derivatives. Thus, the problem of solving a definite one-dimensional integral taken as a function of the upper boundary can be transformed to solving a system of differential equations. The best way how to solve the system of differential equations is to use the Modern Taylor Series Method.

Keywords

TKSL, Definite integrals, Modern Taylor Series Method

Key words in English

TKSL, Definite integrals, Modern Taylor Series Method

Authors

KUNOVSKÝ, J.; HONZÍK, P.

Released

10.10.2002

Publisher

The University of Technology Košice

Location

Letná 42, 040 01 TU Košice

ISBN

80-7099-879-2

Book

Proceedings of the Fifth International Scientific Conference Electronic Computers and Informatics 2002

Pages from

22

Pages to

24

Pages count

3

BibTex

@inproceedings{BUT10252,
  author="Jiří {Kunovský} and Petr {Honzík}",
  title="Definite Integrals in TKSL, Maple and Matlab",
  booktitle="Proceedings of the Fifth International Scientific Conference Electronic Computers and Informatics 2002",
  year="2002",
  pages="22--24",
  publisher="The University of Technology Košice",
  address="Letná 42, 040 01 TU Košice",
  isbn="80-7099-879-2"
}