Algorithms for the approximate solution of ill-posed problems on special sets

In Chapter 2 we have succeeded in solving, in a number of cases, the first problem posed to us: starting from qualitative information regarding the unknown solution, how to find the compact set of well-posedness M containing the exact solution. It was shown that this can be readily done if the exact solution of the problem belongs to Z↓ _C , Ž _C , Ž↓ _C . A uniform approximation to the exact solution of the problem can be constructed if the exact solution is a continuous function of bounded variation. We now turn to the second problem: how to construct an efficient numerical algorithm for solving ill-posed problems on the sets listed above?