Regularization methods for a problem of analytic continuation
In this paper, we prove a sharp stability estimate for the problem of analytic continuation. Based on the obtained stability estimate, a generalized Tikhonov regularization is provided and the corresponding error estimate is obtained. Moreover, we give many other regularization methods. For illustration, a numerical experiment is constructed to demonstrate the feasibility and efficiency of the proposed method. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.
analytic continuation stability estimate generalized tikhonov regularization error estimate ill-posed problems