Article | Proceedings of The 9th EUROSIM Congress on Modelling and Simulation, EUROSIM 2016, The 57th SIMS Conference on Simulation and Modelling SIMS 2016 | Numerical Algorithm for Design of Stability Polynomials for the First Order Methods Linköping University Electronic Press Conference Proceedings
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Title:
Numerical Algorithm for Design of Stability Polynomials for the First Order Methods
Author:
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
DOI:
10.3384/ecp17142979
Download:
Full text (pdf)
Year:
2018
Conference:
Proceedings of The 9th EUROSIM Congress on Modelling and Simulation, EUROSIM 2016, The 57th SIMS Conference on Simulation and Modelling SIMS 2016
Issue:
142
Article no.:
144
Pages:
5
No. of pages:
979-983
Publication type:
Abstract and Fulltext
Published:
2018-12-19
ISBN:
978-91-7685-399-3
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press, Linköpings universitet


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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

Proceedings of The 9th EUROSIM Congress on Modelling and Simulation, EUROSIM 2016, The 57th SIMS Conference on Simulation and Modelling SIMS 2016

Author:
Eugeny A. Novikov, Mikhail V. Rybkov, Anton E. Novikov
Title:
Numerical Algorithm for Design of Stability Polynomials for the First Order Methods
DOI:
http://dx.doi.org/10.3384/ecp17142979
References:
No references available

Proceedings of The 9th EUROSIM Congress on Modelling and Simulation, EUROSIM 2016, The 57th SIMS Conference on Simulation and Modelling SIMS 2016

Author:
Eugeny A. Novikov, Mikhail V. Rybkov, Anton E. Novikov
Title:
Numerical Algorithm for Design of Stability Polynomials for the First Order Methods
DOI:
https://doi.org10.3384/ecp17142979
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Citations:
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