We present a collection of recent results on the numerical approximation of Volterra integral equations and integro-differential equations by means of collocation type methods, which are able to provide better balances between accuracy and stability demanding. We consider both exact and discretized one-step and multistep collocation methods, and illustrate main convergence results, making some comparisons in terms of accuracy and efficiency. Some numerical experiments complete the paper.
|Titolo:||Collocation methods for volterra integral and integro-differential equations: A review|
|Data di pubblicazione:||2018|
|Appare nelle tipologie:||1.1 Articolo in rivista|