High-Order Embedded Runge-Kutta-Nystrom Formulae

New efficient embedded Runge-Kutta-Nystrom processes of orders 8(6) and 12(10) are presented for the numerical solution of the special second-order differential equation y″(x) = f[x, y(x)]. Test results indicate their improved efficiency relative to other RKN formulae in current use.

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Bibliographische Detailangaben
Veröffentlicht in:	IMA journal of numerical analysis 1987-10, Vol.7 (4), p.423-430
Hauptverfasser:	DORMAND, J. R., EL-MIKKAWY, M. E. A., PRINCE, P. J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematics Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	New efficient embedded Runge-Kutta-Nystrom processes of orders 8(6) and 12(10) are presented for the numerical solution of the special second-order differential equation y″(x) = f[x, y(x)]. Test results indicate their improved efficiency relative to other RKN formulae in current use.
ISSN:	0272-4979 1464-3642
DOI:	10.1093/imanum/7.4.423