Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4608511 | Journal of Complexity | 2016 | 22 Pages |
Abstract
In this paper we present the solution to a problem of recovering a rather arbitrary integral operator based on incomplete information with error. We apply the main result to obtain optimal methods of recovery and compute the optimal error for the solutions to certain integral equations as well as boundary and initial value problems for various PDE’s.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Vladyslav Babenko, Yuliya Babenko, Nataliia Parfinovych, Dmytro Skorokhodov,