The optimal order of convergence for stable evaluation of differential operators
Date
1993-10-14
Authors
Groetsch, C. W.
Scherzer, O.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
An optimal order of convergence result, with respect to the error level in the data, is given for a Tikhonov-like method for approximating values of an unbounded operator. It is also shown that if the choice of parameter in the method is made by the discrepancy principle, then the order of convergence of the resulting method is suboptimal. Finally, a modified discrepancy principle leading to an optimal order of convergence is developed.
Description
Keywords
Regularization, Unbounded operator, Optimal convergence, Stable
Citation
Groetsch, C. W. & Scherzer, O. (1993). The optimal order of convergence for stable evaluation of differential operators. <i>Electronic Journal of Differential Equations, 1993</i>(04), pp. 1-10.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.