Modified Minimal Error Method for Nonlinear Ill-Posed Problems
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Date
2018
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Walter de Gruyter GmbH cmam@cmam.info
Abstract
An error estimate for the minimal error method for nonlinear ill-posed problems under general a Hölder-type source condition is not known. We consider a modified minimal error method for nonlinear ill-posed problems. Using a Hölder-type source condition, we obtain an optimal order error estimate. We also consider the modified minimal error method with noisy data and provide an error estimate. © 2018 Walter de Gruyter GmbH, Berlin/Boston.
Description
Keywords
Euler equations, Discrepancy principle, Error estimates, Minimal errors, Noisy data, Nonlinear ill-posed problems, Optimal order error estimates, Regularization methods, Source conditions, Errors
Citation
Computational Methods in Applied Mathematics, 2018, 18, 2, pp. 313-321