Influence of the order between discretization and regularization in solving ill-posed problems
Résumé
Discretization and regularization are required steps to provide a stable approximation when solving
integral equations of the first kind. The integral operator involved may be approximated by a sequence
of finite rank operators and then the regularization procedure is applied. On the other hand, a
regularization procedure can be conceived prior to the discretization. Both approaches are developed,
implemented and compared for certain projection based methods.