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CHALOUPKA, J. KUNOVSKÝ, J. MARTINKOVIČOVÁ, A. ŠÁTEK, V. THONHOFER, E.
Original Title
Multiple Integral Computations Using Taylor Series
Type
conference paper
Language
English
Original 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.
Keywords
Differential equations, Multiple integrals, Taylor series method, Stiff systems, TKSL, MATLAB
Authors
CHALOUPKA, J.; KUNOVSKÝ, J.; MARTINKOVIČOVÁ, A.; ŠÁTEK, V.; THONHOFER, E.
RIV year
2015
Released
10. 4. 2015
Publisher
American Institute of Physics
Location
Rhodes
ISBN
978-0-7354-1287-3
Book
12th International Conference of Numerical Analysis and Applied Mathematics
0094-243X
Periodical
AIP conference proceedings
Year of study
Number
1648
State
United States of America
Pages from
1
Pages to
4
Pages count
URL
http://dx.doi.org/10.1063/1.4913137
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" }