Publication Details

Multiple Integral Computations

CHALOUPKA Jan, KOCINA Filip, VEIGEND Petr, NEČASOVÁ Gabriela, ŠÁTEK Václav and KUNOVSKÝ Jiří. Multiple Integral Computations. In: 14th International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2017, pp. 1-4. ISSN 0094-243X. Available from: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026624246&doi=10.1063%2f1.4992650&partnerID=40&md5=905d4456fb7905499a15940abda95ec8
Czech title
Výpočet vícerozměrných integrálů
Type
conference paper
Language
english
Authors
Chaloupka Jan, Ing. (DITS FIT BUT)
Kocina Filip, Ing., Ph.D. (DITS FIT BUT)
Veigend Petr, Ing., Ph.D. (DITS FIT BUT)
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
URL
Keywords

Multiple Integral, Differential Equations, Taylor Series Method

Abstract

Extending standard numeric integration methods to multi-integrals is possible, however, the numeric effort grows significantly for a given accuracy. In this paper the Modern Taylor Series Method (MTSM) is extended to multi-integrals with the benefit of (theoretically) arbitrary accuracy while being highly parallelizable.

Published
2017
Pages
1-4
Journal
AIP Conference Proceedings - American Institute of Physics, no. 1863, ISSN 0094-243X
Proceedings
14th International Conference of Numerical Analysis and Applied Mathematics
Conference
14rd International Conference of Numerical Analysis and Applied Mathematics, Rhodes, GR
Publisher
American Institute of Physics
Place
Rhodes, GR
DOI
10.1063/1.4992650
UT WoS
000410159800465
EID Scopus
2-s2.0-85026624246
BibTeX 
@INPROCEEDINGS{FITPUB11226,
   author = "Jan Chaloupka and Filip Kocina and Petr Veigend and Gabriela Ne\v{c}asov\'{a} and V\'{a}clav \v{S}\'{a}tek and Ji\v{r}\'{i} Kunovsk\'{y}",
   title = "Multiple Integral Computations",
   pages = "1--4",
   booktitle = "14th International Conference of Numerical Analysis and Applied Mathematics",
   journal = "AIP Conference Proceedings - American Institute of Physics",
   number = 1863,
   year = 2017,
   location = "Rhodes, GR",
   publisher = "American Institute of Physics",
   ISSN = "0094-243X",
   doi = "10.1063/1.4992650",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/11226"
}
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