{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T00:55:16Z","timestamp":1648688116389},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"2","license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput. Methods Appl. Math."],"published-print":{"date-parts":[[2009]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p> A boundary value problem for a 4-th order self-adjoint ordinary differential\nequation is considered in the case where the coefficients of the equation and its\nright-hand side can be nonsmooth (discontinuous, concentrated or rapidly oscillating\nfunctions). Generalized cubic splines of deficiency 1 depending on the major coefficient\nof the equation are applied. An error analysis of finite element methods exploiting such\nsplines is presented in detail including superconvergence error bounds. .<\/jats:p>","DOI":"10.2478\/cmam-2009-0012","type":"journal-article","created":{"date-parts":[[2013,6,5]],"date-time":"2013-06-05T22:51:57Z","timestamp":1370472717000},"page":"203-218","source":"Crossref","is-referenced-by-count":0,"title":["Error Bounds for Finite Element Methods with Generalized Cubic Splines for a 4-th Order Ordinary Differential Equation with Nonsmooth Data"],"prefix":"10.2478","volume":"9","author":[{"given":"A.","family":"Zlotnik","sequence":"first","affiliation":[{"name":"1Department of Applied Mathematics, Russian State Social University, W. Pieck 4, 129226 Moscow, Russia."},{"name":"2Department of Mathematical Modelling, Moscow Power Engineering Institute (Technical University), Krasnokazarmennaya 14, 111250 Moscow, Russia."}]},{"given":"O.","family":"Kireeva","sequence":"additional","affiliation":[{"name":"1Department of Applied Mathematics, Russian State Social University, W. Pieck 4, 129226 Moscow, Russia."}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/9\/2\/article-p203.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/cmam-2009-0012\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,22]],"date-time":"2021-04-22T14:21:26Z","timestamp":1619101286000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/9\/2\/article-p203.xml"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"references-count":0,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.2478\/cmam-2009-0012","relation":{},"ISSN":["1609-9389","1609-4840"],"issn-type":[{"value":"1609-9389","type":"electronic"},{"value":"1609-4840","type":"print"}],"subject":[],"published":{"date-parts":[[2009]]}}}