Runge–Kutta methods

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1: 32.17 Methods of Computation

… ►The Painlevé equations can be integrated by Runge–Kutta methods for ordinary differential equations; see §3.7(v), Hairer et al. (2000), and Butcher (2003). …

2: 3.7 Ordinary Differential Equations

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§3.7(v) Runge–Kutta Method

►The Runge–Kutta method applies to linear or nonlinear differential equations. … ►An extensive literature exists on the numerical solution of ordinary differential equations by Runge–Kutta, multistep, or other methods. See, for example, Butcher (1987), Dekker and Verwer (1984, Chapter 3), Hairer et al. (1993, Chapter 2), and Hairer and Wanner (1996, Chapter 4).

3: Bibliography D

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Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations. CWI Monographs, Vol. 2, North-Holland Publishing Co., Amsterdam.

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External Links:

ISBN 0-444-87634-0, MathReview (A. de Castro Brzezicki), ZentralBlatt

Referenced by:

§3.7(v).

Encodings:

BibTeX

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4: Bibliography B

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The Numerical Analysis of Ordinary Differential Equations. Runge-Kutta and General Linear Methods. John Wiley & Sons Ltd., Chichester.

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External Links:

ISBN 0-471-91046-5, MathReview (Peter Alfeld), ZentralBlatt

Referenced by:

§3.7(v).

Encodings:

BibTeX

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