Detail publikačního výsledku

Multiple Integral Computations Using Taylor Series

CHALOUPKA, J.; KUNOVSKÝ, J.; MARTINKOVIČOVÁ, A.; ŠÁTEK, V.; THONHOFER, E.

Originální název

Multiple Integral Computations Using Taylor Series

Anglický název

Multiple Integral Computations Using Taylor Series

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

CHALOUPKA, J.; KUNOVSKÝ, J.; MARTINKOVIČOVÁ, A.; ŠÁTEK, V.; THONHOFER, E.

Rok RIV

2015

Vydáno

10.04.2015

Nakladatel

American Institute of Physics

Místo

Rhodes

ISBN

978-0-7354-1287-3

Kniha

12th International Conference of Numerical Analysis and Applied Mathematics

ISSN

0094-243X

Periodikum

AIP conference proceedings

Svazek

2015

Číslo

1648

Stát

Spojené státy americké

Strany od

1

Strany do

4

Strany počet

4

URL

http://dx.doi.org/10.1063/1.4913137

Plný text v Digitální knihovně

http://hdl.handle.net/

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"
}