Conference paper

CHALOUPKA Jan, KUNOVSKÝ Jiří, MARTINKOVIČOVÁ Alžbeta, ŠÁTEK Václav and THONHOFER Elvira. Multiple Integral Computations Using Taylor Series. In: 12th International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2015, pp. 1-4. ISBN 978-0-7354-1287-3. ISSN 0094-243X. Available from: http://dx.doi.org/10.1063/1.4913137
Publication language:english
Original title:Multiple Integral Computations Using Taylor Series
Title (cs):Výpočet vícerozměrných integrálů s využitím metody Taylorovy řady
Pages:1-4
Proceedings:12th International Conference of Numerical Analysis and Applied Mathematics
Conference:12th International Conference of Numerical Analysis and Applied Mathematics
Place:Rhodes, GR
Year:2015
URL:http://dx.doi.org/10.1063/1.4913137
ISBN:978-0-7354-1287-3
Journal:AIP Conference Proceedings - American Institute of Physics, Vol. 2015, No. 1648, US
ISSN:0094-243X
Publisher:American Institute of Physics
Keywords
Differential equations, Multiple integrals, Taylor series method, Stiff systems, TKSL, MATLAB
Annotation
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{
   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},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php?id=10604}
}

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