Multistep collocation methods for Volterra integro–differential equations are derived and analyzed. They increase the order of convergence of classical one-step collocation methods, at the same computational cost. The numerical stability analysis is carried out and classes of A0-stable methods are provided. Numerical experiments confirm theoretical expectations and make comparisons with the one-step collocation methods.
Multistep collocation methods for Volterra integro-differential equations
CARDONE, Angelamaria;CONTE, Dajana
2013
Abstract
Multistep collocation methods for Volterra integro–differential equations are derived and analyzed. They increase the order of convergence of classical one-step collocation methods, at the same computational cost. The numerical stability analysis is carried out and classes of A0-stable methods are provided. Numerical experiments confirm theoretical expectations and make comparisons with the one-step collocation methods.File in questo prodotto:
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