We consider a general family of two step nonlinear methods for the numerical integration of Ordinary Differential Equations of type y"=f(x,y). By applying a collocation technique, linear systems with a Vandermonde-type matrix arise during the construction of the methods. The computation of its determinant reduces to the computation of a recurrence formula depending on the collocation abscissas.

Vandermonde-type matrices in two step collocation methods for special second order Ordinary Differential Equations

PATERNOSTER, Beatrice
2004

Abstract

We consider a general family of two step nonlinear methods for the numerical integration of Ordinary Differential Equations of type y"=f(x,y). By applying a collocation technique, linear systems with a Vandermonde-type matrix arise during the construction of the methods. The computation of its determinant reduces to the computation of a recurrence formula depending on the collocation abscissas.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/3574077
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