We introduce a family of multistep collocation methods for the numerical integration of Volterra Integral Equations, which depends on the numerical solution on a fixed number of previous time steps. We describe the constructive technique, discuss the order of the resulting methods, analyze their linear stability properties and give an example of one stage method.
A Family of Multistep Collocation Methods for Volterra Integral Equations
CONTE, Dajana;PATERNOSTER, Beatrice
2007-01-01
Abstract
We introduce a family of multistep collocation methods for the numerical integration of Volterra Integral Equations, which depends on the numerical solution on a fixed number of previous time steps. We describe the constructive technique, discuss the order of the resulting methods, analyze their linear stability properties and give an example of one stage method.File in questo prodotto:
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