Note on the performance of direct and indirect Runge-Kutta-Nyström methods

Note on the performance of direct and indirect Runge-Kutta-Nyström methods

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Abstract: "This paper deals with predictor-corrector iteration of Runge-Kutta-Nyström (RKN) methods for integrating initial-value problems for special second-order, ordinary differential equations. We consider RKN correctors based on both direct and indirect collocation techniques. The paper fo...

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Bibliographische Detailangaben
1. Verfasser: Nguyen, Huu Cong (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Amsterdam 1992
Schriftenreihe:Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1992,14
Schlagworte:
Runge-Kutta formulas
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Zusammenfassung:Abstract: "This paper deals with predictor-corrector iteration of Runge-Kutta-Nyström (RKN) methods for integrating initial-value problems for special second-order, ordinary differential equations. We consider RKN correctors based on both direct and indirect collocation techniques. The paper focusses on the convergence factors and stability regions of the iterated RKN correctors. It turns out that the methods based on direct collocation RKN correctors possess smaller convergence than those based on idirect collocation RKN correctors. Both families of methods have sufficiently large stability boundaries for nonstiff problems."
Beschreibung:11 S.

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