Fractional Multistep Methods for Weakly Singular Volterra Integral Equations of the First Kind with Perturbed Data

Fractional multistep methods were introduced by C. Lubich for the quadrature of Abel integral operators and the solution of weakly singular Volterra integral equations of the first kind with exactly given right-hand sides. In the current paper, we consider the regularizing properties of these method...

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Veröffentlicht in:	Numerical functional analysis and optimization 2005-03, Vol.26 (2), p.249-269
1. Verfasser:	Plato, Robert
Format:	Artikel
Sprache:	eng
Schlagworte:	45QE5 Backwards Euler scheme BDF methods Fractional multistep methods Regularization method Volterra integral equations of the first kind
Online-Zugang:	Volltext
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