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Fractional multistep methods for weakly singular Volterra integral equations of the first kind with perturbed data

Please always quote using this URN:urn:nbn:de:0296-matheon-80
  • 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 methods to solve the mentioned integral equations of the first kind for perturbed right-hand sides. Finally, numerical results are presented.

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Metadaten
Author:Robert Plato
URN:urn:nbn:de:0296-matheon-80
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2003/12/12
Release Date:2003/11/12
Preprint Number:4
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