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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/120023
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