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Parallel Runge-Kutta-Nyström methods. (English) Zbl 0928.65087

Summary: A class of parallel Runge-Kutta-Nyström methods is introduced and techniques for the effective construction of methods with maximum dispersive order and good stability properties are discussed.

MSC:

65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
65L05 Numerical methods for initial value problems involving ordinary differential equations
65L20 Stability and convergence of numerical methods for ordinary differential equations
65Y05 Parallel numerical computation
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