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.
Titolo: | Multistep collocation methods for Volterra integro-differential equations |
Autori: | |
Data di pubblicazione: | 2013 |
Rivista: | |
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. |
Handle: | http://hdl.handle.net/11386/3995052 |
Appare nelle tipologie: | 1.1.2 Articolo su rivista con ISSN |
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