Some Embedded Pairs for Optimal Implicit Strong Stability Preserving Runge–Kutta Methods

Fekete, Imre; Horváth, Ákos

doi:10.1007/978-3-030-27550-1_45

Some Embedded Pairs for Optimal Implicit Strong Stability Preserving Runge–Kutta Methods

Imre Fekete¹⁵ &
Ákos Horváth¹⁶

Conference paper
First Online: 23 November 2019

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Part of the book series: Mathematics in Industry ((TECMI,volume 30))

Abstract

We construct specific embedded pairs for second and third order optimal strong stability preserving implicit Runge–Kutta methods with large absolute stability regions. These pairs offer adaptive implementation possibility for strong stability preserving (SSP) methods and maintain their inherent nonlinear stability properties, too.

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References

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Acknowledgements

The project has been supported by the European Union, co-financed by the European Social Fund (EFOP-3.6.3-VEKOP-16-2017-00002).

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Authors and Affiliations

Institute of Mathematics, Eötvös Loránd University, MTA-ELTE Numerical Analysis and Large Networks Research Group, Budapest, Hungary
Imre Fekete
Institute of Mathematics, Eötvös Loránd University, Budapest, Hungary
Ákos Horváth

Authors

Imre Fekete
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Ákos Horváth
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Correspondence to Imre Fekete .

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Editors and Affiliations

Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary; Department of Differential Equations Mathematical Institute, Budapest University of Technology and Economics, Budapest, Hungary
István Faragó
Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary
Ferenc Izsák
Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary
Péter L. Simon

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Fekete, I., Horváth, Á. (2019). Some Embedded Pairs for Optimal Implicit Strong Stability Preserving Runge–Kutta Methods. In: Faragó, I., Izsák, F., Simon, P. (eds) Progress in Industrial Mathematics at ECMI 2018. Mathematics in Industry(), vol 30. Springer, Cham. https://doi.org/10.1007/978-3-030-27550-1_45

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DOI: https://doi.org/10.1007/978-3-030-27550-1_45
Published: 23 November 2019
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-27549-5
Online ISBN: 978-3-030-27550-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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