Publication Details

Multiple Integral Computations Using Taylor Series

CHALOUPKA, J.; KUNOVSKÝ, J.; MARTINKOVIČOVÁ, A.; ŠÁTEK, V.; THONHOFER, E. Multiple Integral Computations Using Taylor Series. In 12th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2015. p. 1-4. ISBN: 978-0-7354-1287-3. ISSN: 0094-243X.
Czech title
Výpočet vícerozměrných integrálů s využitím metody Taylorovy řady
Type
conference paper
Language
English
Authors
Chaloupka Jan, Ing.
Kunovský Jiří, doc. Ing., CSc.
Martinkovičová Alžbeta, Mgr.
Šátek Václav, Ing., Ph.D. (DITS)
Thonhofer Elvira (FIT)
URL
Keywords

Differential equations, Multiple integrals, Taylor series method, Stiff systems, TKSL, MATLAB

Abstract

The paper is a part of student cooperation in AKTION project (Austria-Czech) and deals with possibilities of numerical solution of initial value problems of ordinary differential equations (ODEs). The Taylor series method with automatic computation of higher Taylor series terms is used for solution of multiple integrals. A Multiple integral of a continuous function of n variables can be computed by n-ary integration of the function fixing the remaining variables. These simple integrals can be solved as a ODEs, thus introducing a problem of parallel solving of a growing number of equations with respect to n and the required precision.

Published
2015
Pages
1–4
Journal
AIP conference proceedings, vol. 2015, no. 1648, ISSN 0094-243X
Proceedings
12th International Conference of Numerical Analysis and Applied Mathematics
ISBN
978-0-7354-1287-3
Publisher
American Institute of Physics
Place
Rhodes
DOI
UT WoS
000355339705134
EID Scopus
BibTeX
@inproceedings{BUT111569,
  author="Jan {Chaloupka} and Jiří {Kunovský} and Alžbeta {Martinkovičová} and Václav {Šátek} and Elvira {Thonhofer}",
  title="Multiple Integral Computations Using Taylor Series",
  booktitle="12th International Conference of Numerical Analysis and Applied Mathematics",
  year="2015",
  journal="AIP conference proceedings",
  volume="2015",
  number="1648",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.4913137",
  isbn="978-0-7354-1287-3",
  issn="0094-243X",
  url="http://dx.doi.org/10.1063/1.4913137"
}
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