Efficient Application of Modern Taylor Series Methods to Stiff and High-Order Systems
Reseach leader:Kunovský Jiří
Team leaders:Kocina Filip, ©átek Václav, Vopěnka Václav
Agency:M©MT
Code:Aktion-64p13
Start:2012
End:2013
Keywords:numerical integration methods, parallel computations, differential equations, stiff systems, Taylor series
Annotation:
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.

Publications

2012Kunovský, J., ©átek, V., Vopěnka, V.: Stiffness in Technical Initial Problems, In: Proceedings of the 10th International Conference of Numerical Analysis and Applied Mathematics, Kos, GR, AIP, 2012, p. 4, ISBN 978-0-7354-1091-6, ISSN 1551-7616

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