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
2004-01-01
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.File in questo prodotto:
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