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One-step methods with adaptive stability functions for the integration of differential equations

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Numerische, insbesondere approximationstheoretische Behandlung von Funktionalgleichungen

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 333))

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References

  • Calahan, D.A. [1968]: A stable, accurate method of numerical integration for non-linear systems, Proc. IEEE 56, 744.

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  • Dahlquist, G.G. [1963]: A special stability problem for linear multistep problems, BIT 3, 27.

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  • Houwen, P.J. van der [1972a]: Explicit and semi-implicit Runge-Kutta formulas for the integration of stiff equations, Report TW 132/72, Mathematisch Centrum, Amsterdam. [1972b]: Explicit Runge-Kutta formulas with increased stability boundaries, Numerische Mathematik (to appear).

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  • Lapidus, L. and J.H. Seinfeld [1971]: Numerical solution of ordinary differential equations, Academic Press, New York.

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  • Liniger, W. and R.A. Willoughby [1970]: Efficient integration methods for stiff systems of ordinary differential equations, SIAM J., Numer. Anal. 7, 47.

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  • Robertson, H.H. [1967]: The solution of a set of reaction rate equations in "Numerical Analysis", (J. Walsh, ed.), Thompson Book Co., Washington.

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Authors
  1. P. J. van der Houwen
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R. Ansorge W. Törnig

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© 1973 Springer-Verlag

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van der Houwen, P.J. (1973). One-step methods with adaptive stability functions for the integration of differential equations. In: Ansorge, R., Törnig, W. (eds) Numerische, insbesondere approximationstheoretische Behandlung von Funktionalgleichungen. Lecture Notes in Mathematics, vol 333. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060695

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  • DOI: https://doi.org/10.1007/BFb0060695

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06378-0

  • Online ISBN: 978-3-540-46986-5

  • eBook Packages: Springer Book Archive

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