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: Ministry of Education, Youth and Sports Czech Republic

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. (UITS FIT VUT) , research leader
Kocina Filip, Ing., Ph.D. (UITS FIT VUT) , team leader
Šátek Václav, Ing., Ph.D. (UITS FIT VUT) , team leader
Vopěnka Václav, Ing. (UITS FIT VUT) , team leader
Publications

2013

  • KOPŘIVA Jan, KUNOVSKÝ Jiří, ŠÁTEK Václav, KOCINA Filip and TALIC Emir. 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, pp. 318-322. ISBN 978-80-8143-127-2. Detail
  • KOPŘIVA Jan, KUNOVSKÝ Jiří, ŠÁTEK Václav, DROZDOVÁ Martina and SCHIRRER Alexander. Parallel Computations Based on Automatic Transformation of Ordinary Differential Equations. In: Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2013, pp. 2293-2296. ISBN 978-0-7354-1184-5. ISSN 0094-243X. Detail
  • KOPŘIVA Jan, KUNOVSKÝ Jiří, ŠÁTEK Václav, DROZDOVÁ Martina and KILLIAN Michaela. 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, pp. 323-328. ISBN 978-80-8143-127-2. Detail

2012

  • KUNOVSKÝ Jiří, ŠÁTEK Václav and VOPĚNKA Václav. Stiffness in Technical Initial Problems. In: Proceedings of the 10th International Conference of Numerical Analysis and Applied Mathematics. Kos: American Institute of Physics, 2012, p. 4. ISBN 978-0-7354-1091-6. ISSN 1551-7616. Detail
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