Publication Details
Multiple Integral Computations Using Taylor Series
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
Martinkovičová Alžbeta, Mgr. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Thonhofer Elvira (TU-Wien)
Differential equations, Multiple integrals, Taylor series method, Stiff systems, TKSL, MATLAB
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.
@INPROCEEDINGS{FITPUB10604,
author = "Jan Chaloupka and Ji\v{r}\'{i} Kunovsk\'{y} and Al\v{z}beta Martinkovi\v{c}ov\'{a} and V\'{a}clav \v{S}\'{a}tek and Elvira Thonhofer",
title = "Multiple Integral Computations Using Taylor Series",
pages = "1--4",
booktitle = "12th International Conference of Numerical Analysis and Applied Mathematics",
journal = "AIP Conference Proceedings - American Institute of Physics",
volume = 2015,
number = 1648,
year = 2015,
location = "Rhodes, GR",
publisher = "American Institute of Physics",
ISBN = "978-0-7354-1287-3",
ISSN = "0094-243X",
doi = "10.1063/1.4913137",
language = "english",
url = "https://www.fit.vut.cz/research/publication/10604"
}