## 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.

Verfasserangaben: Sergei Pereverzev, Eberhard Schock urn:nbn:de:hbz:386-kluedo-11726 Preprints (rote Reihe) des Fachbereich Mathematik (322) Preprint Englisch 2001 2001 Technische Universität Kaiserslautern 07.09.2001 Altdaten, kein Volltext verfügbar ; Printversion in Bereichsbibliothek Mathematik vorhanden: MAT 144/610-322 Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011