English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We propose and analyze an iterative refinement of a modified Lavrentievregularization method for deconvolution of the discrete Helmholtz-typedifferential filter. The modification for the Lavrentiev regularization methodexploits the properties of the Helmholtz filter, and we prove that themodification reduces the error bound between the original solution and theapproximated solution. Furthermore, we derive an optimal stopping condition onthe number of iterations necessary for the regularization. We provide numericalexamples demonstrating the benefits of this iterative modified Lavrentievregularization over a family of Tikhonov regularization methods.

Iterative Refinement of A Modified Lavrentiev Regularization Method for De-convolution of the Discrete Helmholtz Type Differential Filter