We consider a new class of two-step collocation methods for the numerical integration of second-order initial value problems having periodic or oscillatory solutions. We describe the constructive technique, discuss the order of the resulting methods and analyse their stability properties.
Two-Step Hybrid Collocation Methods for y''=f (x,y)
D'AMBROSIO, RAFFAELE;PATERNOSTER, Beatrice
2009
Abstract
We consider a new class of two-step collocation methods for the numerical integration of second-order initial value problems having periodic or oscillatory solutions. We describe the constructive technique, discuss the order of the resulting methods and analyse their stability properties.File in questo prodotto:
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