Result Details

Multiple Integral Computations

CHALOUPKA, J.; KOCINA, F.; VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V.; KUNOVSKÝ, J. Multiple Integral Computations. In 14th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2017. no. 1863, p. 1-4. ISSN: 0094-243X.
Type
conference paper
Language
English
Authors
Chaloupka Jan, Ing.
Kocina Filip, Ing., Ph.D., DITS (FIT)
Veigend Petr, Ing., Ph.D., DITS (FIT)
Nečasová Gabriela, Ing., Ph.D., DITS (FIT)
Šátek Václav, Ing., Ph.D., DITS (FIT)
Kunovský Jiří, doc. Ing., CSc., DITS (FIT)
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.

Keywords

Multiple Integral, Differential Equations, Taylor Series Method

URL
Published
2017
Pages
1–4
Journal
AIP conference proceedings, no. 1863, ISSN 0094-243X
Proceedings
14th International Conference of Numerical Analysis and Applied Mathematics
Conference
14th International Conference of Numerical Analysis and Applied Mathematics
Publisher
American Institute of Physics
Place
Rhodes
DOI
10.1063/1.4992650
UT WoS
000410159800465
EID Scopus
2-s2.0-85026624246
BibTeX 
@inproceedings{BUT144387,
  author="Jan {Chaloupka} and Filip {Kocina} and Petr {Veigend} and Gabriela {Nečasová} and Václav {Šátek} and Jiří {Kunovský}",
  title="Multiple Integral Computations",
  booktitle="14th International Conference of Numerical Analysis and Applied Mathematics",
  year="2017",
  journal="AIP conference proceedings",
  number="1863",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.4992650",
  issn="0094-243X",
  url="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026624246&doi=10.1063%2f1.4992650&partnerID=40&md5=905d4456fb7905499a15940abda95ec8"
}
Projects
Exploring new Applications for Modern Taylor Series Methods to Solve Stiff and High-Order Systems, MŠMT, AKTION Česká republika - Rakousko, Aktion-76p11, start: 2016-07-01, end: 2017-10-31, completed
IT4Innovations excellence in science, MŠMT, Národní program udržitelnosti II, LQ1602, start: 2016-01-01, end: 2020-12-31, completed
Spolehlivost a bezpečnost v IT, BUT, Vnitřní projekty VUT, FIT-S-14-2486, start: 2014-01-01, end: 2016-12-31, completed
Research groups
High Performance Computing Research Group (RG HPC)
Departments
Department of Intelligent Systems (DITS)
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