@inbook{9898564fe8c9440184932b52adc54131,
title = "Iterated defect correction collocation methods in the numerical solution of Volterra integro-differential equations",
abstract = "The application of iterated defect correction methods to Volterra integro- differential equations (VDIEs) is considered. Polynomial collocation methods are used as the basic method. The approximations obtained are then interpo- lated and corrected iteratively by adding the {"}defect{"} to the approximations obtained by the basic method, extending corresponding work which applies to ordinary differential and integral equations. Preliminary results are given. 1 Introduction Iterated defect correction (IDC) methods have been used for the numerical solution of ordinary differential equations of initial value type (cf. Stet- ter ([32]), Frank and Ueberhuber ([15]), Hairer ([20",
author = "Athena Makroglou",
year = "1997",
language = "English",
isbn = "978-1853124600",
series = "WIT Transactions on Modelling and Simulation",
publisher = "WIT Press",
pages = "383--395",
editor = "Frankel, {J. I. } and Brebbia, {C. A.} and Aliabadi, {M. A. H.}",
booktitle = "Boundary element technology XII",
address = "United Kingdom",
note = "12th International Conference on Boundary Element Technology , BETECH 97 ; Conference date: 09-04-1997 Through 11-04-1997",
}