Eugeny A. Novikov
Institute of Computational Modelling, Federal Research Center, Russia
Mikhail V. Rybkov
Institute of Mathematics and Fundamental Informatics, Siberian Federal University, Russia
Anton E. Novikov
Institute of Mathematics and Fundamental Informatics, Siberian Federal University, Russia
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http://dx.doi.org/10.3384/ecp17142979Published in: Proceedings of The 9th EUROSIM Congress on Modelling and Simulation, EUROSIM 2016, The 57th SIMS Conference on Simulation and Modelling SIMS 2016
Linköping Electronic Conference Proceedings 142:144, p. 5
Published: 2018-12-19
ISBN: 978-91-7685-399-3
ISSN: 1650-3686 (print), 1650-3740 (online)
This paper derives an algorithm for computing coefficients for stability polynomials of a degree up to m = 35. These coefficients correspond to explicit first order Runge-Kutta methods. Authors showed dependence between stability polynomial values at extreme points and both size and form of a stability domain. Numerical results are given.
