Detail publikace

Multiple Integral Computations Using Taylor Series

Originální název

Multiple Integral Computations Using Taylor Series

Anglický název

Multiple Integral Computations Using Taylor Series

Jazyk

en

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.

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",
  annote="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.",
  address="American Institute of Physics",
  booktitle="12th International Conference of Numerical Analysis and Applied Mathematics",
  chapter="111569",
  doi="10.1063/1.4913137",
  edition="NEUVEDEN",
  howpublished="print",
  institution="American Institute of Physics",
  number="1648",
  year="2015",
  month="april",
  pages="1--4",
  publisher="American Institute of Physics",
  type="conference paper"
}