## Preprints (rote Reihe) des Fachbereich Mathematik

### Refine

#### Year of publication

- 2001 (4) (remove)

#### Document Type

- Preprint (4) (remove)

#### Has Fulltext

- no (4) (remove)

324

322

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.