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Construction of Implicit Runge-Kutta Methods

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Part of the book series: Springer Series in Computational Mathematics ((SSCM,volume 14))

Abstract

In Sect. II.7 the first implicit Runge-Kutta methods were introduced. As we saw in Sect. IV.3, not all of them are suitable for the solution of stiff differential equations. This section is devoted to the collection of several classes of fully implicit Runge-Kutta methods possessing good stability properties.

Although most of these methods appear at the moment to be largely of theoretical interest ...

(B.L. Ehle 1968)

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© 1996 Springer-Verlag Berlin Heidelberg

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Hairer, E., Wanner, G. (1996). Construction of Implicit Runge-Kutta Methods. In: Solving Ordinary Differential Equations II. Springer Series in Computational Mathematics, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05221-7_5

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  • DOI: https://doi.org/10.1007/978-3-642-05221-7_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05220-0

  • Online ISBN: 978-3-642-05221-7

  • eBook Packages: Springer Book Archive

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