Publication Details

High Order Numerical Integration Method and its Applications - The First 36 Years of MTSM

VEIGEND Petr, NEČASOVÁ Gabriela and ŠÁTEK Václav. High Order Numerical Integration Method and its Applications - The First 36 Years of MTSM. In: 2019 IEEE 15th International Scientific Conference on Informatics. Poprad: Institute of Electrical and Electronics Engineers, 2019, pp. 25-30. ISBN 978-1-7281-3179-5.
Czech title
Integrační metoda vyššího řádu -- Prvních 36 let MTSM
Type
conference paper
Language
english
Authors
Veigend Petr, Ing., Ph.D. (DITS FIT BUT)
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Keywords

ordinary differential equations, initial value problems, Taylor series, MTSM, MATLAB

Abstract

The aim of this paper is to remember the work of Jiří Kunovský, who died last year. The high order integration method that he developed with his students and colleagues -- MTSM has many positive properties and is studied to this day. The paper shows these properties on a set of examples including linear and non-linear ones. Effective serial and parallel implementation of the method using MATLAB and PETSc is also discussed.

Published
2019
Pages
25-30
Proceedings
2019 IEEE 15th International Scientific Conference on Informatics
Conference
2019 IEEE 15th International Scientific Conference on Informatics, Poprad, SK
ISBN
978-1-7281-3179-5
Publisher
Institute of Electrical and Electronics Engineers
Place
Poprad, SK
DOI
10.1109/Informatics47936.2019.9119258
UT WoS
000610452900003
EID Scopus
2-s2.0-85087636750
BibTeX 
@INPROCEEDINGS{FITPUB12004,
   author = "Petr Veigend and Gabriela Ne\v{c}asov\'{a} and V\'{a}clav \v{S}\'{a}tek",
   title = "High Order Numerical Integration Method and its Applications - The First 36 Years of MTSM",
   pages = "25--30",
   booktitle = "2019 IEEE 15th International Scientific Conference on Informatics",
   year = 2019,
   location = "Poprad, SK",
   publisher = "Institute of Electrical and Electronics Engineers",
   ISBN = "978-1-7281-3179-5",
   doi = "10.1109/Informatics47936.2019.9119258",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/12004"
}
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