Preprints (rote Reihe) des Fachbereich Mathematik
- 299
-
On the efficient discretization of integral equations of the third kind (1998)
- We propose a new discretization scheme for solving ill-posed integral equations of the third kind. Combining this scheme with Morozov's discrepancy principle for Landweber iteration we show that for some classes of equations in such method a number of arithmetic operations of smaller order than in collocation method is required to appoximately solve an equation with the same accuracy.