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van der Houwen, P. J.; Sommeijer, B. P.; Nguyen Huu Cong

Stability of collocation-based Runge-Kutta-Nyström methods. (English) Zbl 0731.65071

BIT 31, No. 3, 469-481 (1991).
The authors investigate the attainable order and the stability of collocation technique based Runge-Kutta-Nyström methods for the solution of certain second order systems of ordinary differential equations.
Reviewer: G.Merz (Vellmar)

Cited in 1 Review
Cited in 49 Documents

MSC:

65L20 Stability and convergence of numerical methods for ordinary differential equations
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems

Keywords:

attainable order; stability; collocation; Runge-Kutta-Nyström methods; second order systems
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\textit{P. J. van der Houwen} et al., BIT 31, No. 3, 469--481 (1991; Zbl 0731.65071)
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References:

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