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. © 2009 Elsevier Ltd. All rights reserved.
Two-step hybrid collocation methods for y''= f (x, y)
D'Ambrosio, R.;
2009-01-01
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. © 2009 Elsevier Ltd. All rights reserved.File in questo prodotto:
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