Project Details

Efektivní aplikace Moderní metody Taylorovy řady pro řešení stiff soustav a systémů vyšších řádů

Project Period: 2. 7. 2012 – 30. 6. 2013

Project Type: grant

Code: Aktion-64p13

Agency: Jiné veřejné zdroje než podle zák. č. 130/2002 Sb.

Program: Ostatní veřejné zdroje financování nepatřící do institucionálních zdrojů ČR

English title
Efficient Application of Modern Taylor Series Methods to Stiff and High-Order Systems
Type
grant
Keywords

numerical integration methods, parallel computations, differential equations,
stiff systems, Taylor series

Abstract

Efficient algorithms for solving complex simulation problems will be developed in
the project using Modern Taylor Series Method (MTSM). Although the extremely
accurate solutions of MTSM are well documented, the application to stiff systems,
discontinuous dynamics, and high-order systems requires new developments. The
increasing importance of high-performance solvers in simulation not only
constitutes an area of ongoing research but also is of strong interest for
industry applications. The results of the proposed project will enable both
research groups to build up advanced knowledge on solving demanding simulation
problems and to establish suitable solver tools for typical research problems.

Team members
Kunovský Jiří, doc. Ing., CSc. – research leader
Kocina Filip, Ing., Ph.D.
Šátek Václav, Ing., Ph.D. (DITS)
Vopěnka Václav, Ing.
Publications

2013

  • KOPŘIVA, J.; KUNOVSKÝ, J.; ŠÁTEK, V.; DROZDOVÁ, M.; KILLIAN, M. Parallel system based on the RNS. In The Proceedings of the 12th Conference Informatics'2013. Košice: Faculty of Electrical Engineering and Informatics, University of Technology Košice, 2013. p. 323-328. ISBN: 978-80-8143-127-2. Detail
  • KOPŘIVA, J.; KUNOVSKÝ, J.; ŠÁTEK, V.; DROZDOVÁ, M.; SCHIRRER, A. Parallel Computations Based on Automatic Transformation of Ordinary Differential Equations. In Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2013. p. 2293-2296. ISBN: 978-0-7354-1184-5. ISSN: 0094-243X. Detail
  • KOPŘIVA, J.; KUNOVSKÝ, J.; ŠÁTEK, V.; KOCINA, F.; TALIC, E. Numerical integration in the RNS. In The Proceedings of the 12th Conference Informatics'2013. Košice: Faculty of Electrical Engineering and Informatics, University of Technology Košice, 2013. p. 318-322. ISBN: 978-80-8143-127-2. Detail

2012

  • KUNOVSKÝ, J.; ŠÁTEK, V.; VOPĚNKA, V. Stiffness in Technical Initial Problems. In Proceedings of the 10th International Conference of Numerical Analysis and Applied Mathematics. AIP Conference Proceedings. Kos: American Institute of Physics, 2012. p. 2221-2224. ISBN: 978-0-7354-1091-6. ISSN: 1551-7616. Detail
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