Result Details

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

VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V. 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. p. 25-30. ISBN: 978-1-7281-3179-5.
Type
conference paper
Language
English
Authors
Veigend Petr, Ing., Ph.D., DITS (FIT)
Nečasová Gabriela, Ing., Ph.D., DITS (FIT)
Šátek Václav, Ing., Ph.D., DITS (FIT)
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.

Keywords

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

Published
2019
Pages
25–30
Proceedings
2019 IEEE 15th International Scientific Conference on Informatics
Conference
2019 IEEE 15th International Scientific Conference on Informatics
ISBN
978-1-7281-3179-5
Publisher
Institute of Electrical and Electronics Engineers
Place
Poprad
DOI
10.1109/Informatics47936.2019.9119258
UT WoS
000610452900003
EID Scopus
2-s2.0-85087636750
BibTeX 
@inproceedings{BUT162277,
  author="Petr {Veigend} and Gabriela {Nečasová} and Václav {Šátek}",
  title="High Order Numerical Integration Method and its Applications - The First 36 Years of MTSM",
  booktitle="2019 IEEE 15th International Scientific Conference on Informatics",
  year="2019",
  pages="25--30",
  publisher="Institute of Electrical and Electronics Engineers",
  address="Poprad",
  doi="10.1109/Informatics47936.2019.9119258",
  isbn="978-1-7281-3179-5"
}
Projects
Bezpečné a spolehlivé počítačové systémy, BUT, Vnitřní projekty VUT, FIT-S-17-4014, start: 2017-03-01, end: 2020-02-29, completed
Research groups
High Performance Computing Research Group (RG HPC)
Departments
Department of Intelligent Systems (DITS)
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