{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:29:41Z","timestamp":1772296181160,"version":"3.50.1"},"reference-count":33,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2001,1]]},"DOI":"10.1137\/s003614299936175x","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T15:12:06Z","timestamp":1055344326000},"page":"1999-2021","source":"Crossref","is-referenced-by-count":55,"title":["Optimal Discretization of Inverse Problems in Hilbert Scales. Regularization and Self-Regularization of Projection Methods"],"prefix":"10.1137","volume":"38","author":[{"given":"Peter","family":"Math\u00e9","sequence":"first","affiliation":[]},{"given":"Sergei V.","family":"Pereverzev","sequence":"additional","affiliation":[]}],"member":"351","reference":[{"key":"R2","first-page":"259","volume":"4","author":"Belitser E.","year":"1995","journal-title":"Math. Methods Statist."},{"key":"R3","volume-title":"Lectures on operator theory and its applications","author":"B\u00f6ttcher Albrecht","year":"1996"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1080\/00036819608840494"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1007\/s004400050212"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1515\/jiip.1996.4.3.203"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1006\/acha.1995.1008"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1993.1177"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-1740-8"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1988-0928985-X"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1080\/00036819508840400"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1016\/0885-064X(91)90042-V"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2712-0"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176345883"},{"key":"R18","first-page":"32","volume":"124","author":"von Wolfersdorf Lothar","year":"1994","journal-title":"Sitzungsber. S\u00e4chs. Akad. Wiss. Leipzig. Math.\u2010Natur. Kl."},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/14\/1\/014"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141092238060"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139994264476"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1016\/0885-064X(90)90011-2"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5280-1"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389972"},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1080\/00036818408839508"},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1137\/0725074"},{"key":"R29","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176347125"},{"key":"R31","first-page":"298","volume":"4","author":"Samko S. G.","year":"1968","journal-title":"Differencial\u2019nye Uravnenija"},{"key":"R32","unstructured":"S.Samko, A.Kilbas, O.Marichev, Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya, \u201cNauka i Tekhnika\u201d, 1987, 688\u20130, Edited and with a preface by S. M. Nikol\u2019skii\u02d889a:26009"},{"key":"R33","doi-asserted-by":"publisher","DOI":"10.1216\/jiea\/1181075777"},{"key":"R34","doi-asserted-by":"crossref","first-page":"277","DOI":"10.4171\/ZAA\/153","volume":"4","author":"Schock E.","year":"1985","journal-title":"Z. Anal. Anwendungen"},{"key":"R35","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176349650"},{"key":"R36","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142994269411"},{"key":"R39","first-page":"0","author":"Va nikko G.","year":"1985","journal-title":"Izv. Vyssh. Uchebn. Zaved. Mat."},{"key":"R40","unstructured":"G.Vai\u02d8nikko, A.Veretennikov, Iteratsionnye protsedury v nekorrektnykh zadachakh, \u201cNauka\u201d, 1986, 182\u2013088c:47019"},{"key":"R41","doi-asserted-by":"publisher","DOI":"10.1137\/0714044"},{"key":"R42","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198535898.001.0001","volume-title":"The computational complexity of differential and integral equations","author":"Werschulz Arthur","year":"1991"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S003614299936175X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,12]],"date-time":"2024-12-12T20:46:13Z","timestamp":1734036373000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/S003614299936175X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,1]]},"references-count":33,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2001,1]]}},"alternative-id":["10.1137\/S003614299936175X"],"URL":"https:\/\/doi.org\/10.1137\/s003614299936175x","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,1]]}}}