Conference article

Numerical Algorithm for Design of Stability Polynomials for the First Order Methods

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

Download articlehttp://dx.doi.org/10.3384/ecp17142979

Published 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

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Published: 2018-12-19

ISBN: 978-91-7685-399-3

ISSN: 1650-3686 (print), 1650-3740 (online)

Abstract

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.

Keywords

stiff problem, explicit methods, stability polynomials

References

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