TY - INPR
A1 - Pereverzev, Sergei
A1 - Schock, Eberhard
T1 - The finite-section approximation for ill-posed integral equations on the half-line
N2 - 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.
T3 - Preprints (rote Reihe) des Fachbereich Mathematik - 322
Y1 - 2001
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1260
UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-11726
ER -