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:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/3995052
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 39
  • ???jsp.display-item.citation.isi??? 26
social impact