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Efficient embedded runge — Kutta methods

Part of the Lecture Notes in Mathematics book series (LNM,volume 631)

Keywords

  • Stability Region
  • Truncation Error
  • Absolute Stability
  • Negative Real Axis
  • Embed Method

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References

  1. Bettis, D.G.: Embedded Runge-Kutta Methods of Order four and five, Numer. Math. (in press)

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  2. Bettis, D.G. and Horn, K.: Computation of Truncation Error Terms for Runge-Kutta Methods. Texas Institute for Computational Mechanics Report Series, The University of Texas at Austin, 1976.

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  3. Fehlberg, E.: Klassische Runge-Kutta-Formen fünfter und siebenter Ordnung mit Schrittweiten-Kontrolle, Computing 4 (1969), 93–106.

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  4. Shampine, L.F.: Quadrature and Runge-Kutta Formulas, Appl. Math. Computing 2 (1976), 161–171.

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  5. Stetter, H.J.: Analysis of Discretization Methods for Ordinary Differential Equations, Springer-Verlag 1973.

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© 1978 Springer-Verlag

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Bettis, D.G. (1978). Efficient embedded runge — Kutta methods. In: Bulirsch, R., Grigorieff, R.D., Schröder, J. (eds) Numerical Treatment of Differential Equations. Lecture Notes in Mathematics, vol 631. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067460

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  • DOI: https://doi.org/10.1007/BFb0067460

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08539-3

  • Online ISBN: 978-3-540-35970-8

  • eBook Packages: Springer Book Archive