We present some modified collocation based numerical methods for the numerical integration of Ordinary Differential Equations (ODEs) and Volterra Integral Equations (VIEs). The treatise is framed into the existing literature on classical collocation methods and shows how this idea can evolve into a multistep setting, also in case of basis of functions other than polynomials.

Modified collocation techniques for evolutionary problems

D'Ambrosio, Raffaele;
2016-01-01

Abstract

We present some modified collocation based numerical methods for the numerical integration of Ordinary Differential Equations (ODEs) and Volterra Integral Equations (VIEs). The treatise is framed into the existing literature on classical collocation methods and shows how this idea can evolve into a multistep setting, also in case of basis of functions other than polynomials.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

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: https://hdl.handle.net/11697/119992
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact