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M. Kozek, J. Kunovsky:
"Efficient Application of Modern Taylor Series Methods to Stiff and High-Order Systems";
Keynote Lecture: CSSim2012, 3rd International Conference on Computer Modelling and Simulation, Brno, Czech Republic (invited); 2012-09-03 - 2012-09-05; in: "Proceedings of the 3rd Conference on Computer Modelling and Simulation 2012", (2012), ISBN: 978-80-214-4576-5; 19 pages.

The numerical integration of stiff and high-order systems is challenging in terms of stability, accuracy, and computational speed. Modern Taylor Series Method provides extreme accuracy for such systems and can also be applied to stiff and high-order systems. By using pre-computed terms of the Taylor Series up to high-order with adaptive choice of the number of terms, a given accuracy can be secured even in the presence of highly non-linear and stiff dynamics. The presentation gives the fundamental properties of the method and illustrates some simple examples. Also, challenging simulation problems from projects with industry partners are presented.