The finite-section approximation for ill-posed integral equations on the half-line
- Integral equations on the half of line are commonly approximated by the finite-section approximation, in which the infinite upper limit is replaced by apositie number called finite-section parameter. In this paper we consider the finite-section approximation for first kind intgral equations which are typically ill-posed and call for regularization. For some classes of such equations corresponding to inverse problems from optics and astronomy we indicate the finite-section parameters that allows to apply standard regularization techniques. Two discretization schemes for the finite-section equations ar also proposed and their efficiency is studied.
Author: | Sergei Pereverzev, Eberhard Schock |
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URN: | urn:nbn:de:hbz:386-kluedo-11726 |
Series (Serial Number): | Preprints (rote Reihe) des Fachbereich Mathematik (322) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 2001 |
Year of first Publication: | 2001 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2001/09/07 |
Note: | Altdaten, kein Volltext verfügbar ; Printversion in Bereichsbibliothek Mathematik vorhanden: MAT 144/610-322 |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |