{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T22:47:54Z","timestamp":1725662874184},"publisher-location":"Berlin, Heidelberg","reference-count":4,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540071709"},{"type":"electronic","value":"9783540375043"}],"license":[{"start":{"date-parts":[[1975,1,1]],"date-time":"1975-01-01T00:00:00Z","timestamp":157766400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1975]]},"DOI":"10.1007\/3-540-07170-9_7","type":"book-chapter","created":{"date-parts":[[2012,2,25]],"date-time":"2012-02-25T15:53:22Z","timestamp":1330185202000},"page":"99-117","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A posteriori component-wise error estimation of approximate solutions to nonlinear equations"],"prefix":"10.1007","author":[{"given":"Minoru","family":"Urabe","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2005,5,23]]},"reference":[{"key":"7_CR1","first-page":"708","volume-title":"Functional Analysis in Normed Spaces","author":"L. V. Kantorovich","year":"1964","unstructured":"Kantorovich, L. V. and G. P. Akilov: Functional Analysis in Normed Spaces, Translated from the Russian by D. E. Brown, M. A., Pergamon Press, Oxford, 1964, p. 708\u2013711."},{"key":"7_CR2","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1007\/BF00284614","volume":"20","author":"M. Urabe","year":"1965","unstructured":"Urabe, M.: Galerkin's procedure for nonlinear periodic systems, Arch. Rational Mech. Anal., 20 (1965), 120\u2013152.","journal-title":"Arch. Rational Mech. Anal."},{"key":"7_CR3","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/BF02162424","volume":"9","author":"M. Urabe","year":"1967","unstructured":"\u2014: Numerical solution of multi-point boundary value problems in Chebyshev series \u2014 Theory of the method, Numer. Math., 9 (1967), 341\u2013366.","journal-title":"Numer. Math."},{"key":"7_CR4","first-page":"23","volume":"27","author":"M. Urabe","year":"1973","unstructured":"\u2014: Component-wise error analysis of iterative methods practiced on a floating-point system, Mem. Fac. Sci., Kyushu Univ., Ser. A, Math., 27 (1973), 23\u201364.","journal-title":"Mem. Fac. Sci., Kyushu Univ., Ser. A, Math."}],"container-title":["Lecture Notes in Computer Science","Interval Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-07170-9_7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,6]],"date-time":"2020-04-06T10:04:04Z","timestamp":1586167444000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-07170-9_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1975]]},"ISBN":["9783540071709","9783540375043"],"references-count":4,"URL":"https:\/\/doi.org\/10.1007\/3-540-07170-9_7","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[1975]]},"assertion":[{"value":"23 May 2005","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}