{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T10:11:40Z","timestamp":1778753500523,"version":"3.51.4"},"reference-count":24,"publisher":"Walter de Gruyter GmbH","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,7,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper is inspired by recently proposed approach for interpreting data of Electrochemical Impedance Spectroscopy\n(EIS) in terms of Distribution of Diffusion Times (DDT). Such an interpretation requires to solve a Fredholm integral\nequation of the first kind, which may have a non-square-integrable kernel. We consider a class of equations with\nabove-mentioned peculiarity and propose to regularize them in weighted functional spaces. One more issue associated\nwith DDT-problem is that EIS data are available only for a finite number of frequencies. Therefore, a regularization\nshould unavoidably be combined with a collocation. In this paper we analyze a regularized collocation in weighted\nspaces and propose a scheme for its numerical implementation. The performance of the proposed scheme is illustrated by\nnumerical experiments with synthetic data mimicking EIS measurements.<\/jats:p>","DOI":"10.1515\/cmam-2019-0111","type":"journal-article","created":{"date-parts":[[2019,11,8]],"date-time":"2019-11-08T09:05:07Z","timestamp":1573203907000},"page":"517-530","source":"Crossref","is-referenced-by-count":14,"title":["Regularized Collocation in Distribution of Diffusion Times Applied to Electrochemical Impedance Spectroscopy"],"prefix":"10.1515","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5980-7026","authenticated-orcid":false,"given":"Sergei V.","family":"Pereverzev","sequence":"first","affiliation":[{"name":"Johann Radon Institute for Computational and Applied Mathematics , Austrian Academy of Sciences , Linz , Austria"}]},{"given":"Sergiy G.","family":"Solodky","sequence":"additional","affiliation":[{"name":"Institute of Mathematics NAS Ukraine , Kyiv , Ukraine"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4235-9674","authenticated-orcid":false,"given":"Vitalii B.","family":"Vasylyk","sequence":"additional","affiliation":[{"name":"Institute of Mathematics NAS Ukraine , Kyiv , Ukraine"}]},{"given":"Mark","family":"\u017dic","sequence":"additional","affiliation":[{"name":"Ruder Boskovic Institute , Zagreb , Croatia"}]}],"member":"374","published-online":{"date-parts":[[2019,11,8]]},"reference":[{"key":"2023033110434197249_j_cmam-2019-0111_ref_001","doi-asserted-by":"crossref","unstructured":"E.  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