A mollification regularization method for stable analytic continuation
In this paper. we consider an analytic continuation problem on a strip domain with the data given approximately only on the real axis. The Gauss mollification method is proposed to solve this problem. An a priori error estimate between the exact solution and its regularized approximation is obtained. Moreover, we also propose a new a posteriori parameter choice rule and get a good error estimate. Several numerical examples are provided, which show the method works effectively. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
analytic continuation mollification method error estimate a posteriori iii-posed problems