{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T22:47:59Z","timestamp":1725662879410},"publisher-location":"Berlin, Heidelberg","reference-count":15,"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_4","type":"book-chapter","created":{"date-parts":[[2012,2,25]],"date-time":"2012-02-25T15:53:09Z","timestamp":1330185189000},"page":"31-47","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Two-sided approximation to solutions of nonlinear operator equations-a comparison of methods from classical analysis, functional analysis, and interval analysis"],"prefix":"10.1007","author":[{"given":"R. E.","family":"Moore","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2005,5,23]]},"reference":[{"key":"4_CR1","unstructured":"Adams, E. und Spreuer, H., \"Konvergente numerische Schrankenkonstruktion mit Spline-Funktionen f\u00fcr nicht lineare gew\u00f6hnliche bzw. lineare parabolische Randwertaufgaben zweiter Ordnung\", [this volume]"},{"key":"4_CR2","unstructured":"Ames, W.F. and Adams, E., \"Monotonically convergent numerical two-sided bounds for some differential birth and death processes\", [this volume]"},{"key":"4_CR3","unstructured":"Appelt, W., \"Fehlereinschlie\u00dfung bei der numerischen L\u00f6sung elliptischer Differentialgleichungen unter Verwendung eines intervallarithmetischen Defektverfahrens\", GMD Nr. 79, Bonn 1973."},{"key":"4_CR4","unstructured":"Bierbaum, F., \"Intervall-Mathematik, eine Literatur\u00fcbersicht\", Universit\u00e4t Karlsruhe, Institut f\u00fcr Praktische Mathematik, Interner Bericht Nr. 74\/2, 1974."},{"key":"4_CR5","unstructured":"Chaplygin, S.A., \"Osnovonia novovo sposoba priblizhiennovo integrirovannia differentsialnik uravnieny\", [Tr. TSAGI, v. 130 (1932)], 1919."},{"key":"4_CR6","doi-asserted-by":"crossref","unstructured":"Collatz, L. \"Funktionalanalyse und numerische Mathematik\", Springer-Verlag, 1964.","DOI":"10.1007\/978-3-642-95028-5"},{"key":"4_CR7","unstructured":"Faa\u00df, E., \"Beliebig genaue numerische Schranken f\u00fcr nichtlineare parabolische Randwertaufgaben\", [this volume]"},{"key":"4_CR8","unstructured":"Kansy, K., \"Ableitungsvertr\u00e4gliche Verallgemeinerung der Intervallpolynome\", GMD Nr. 70, Bonn, 1973."},{"key":"4_CR9","unstructured":"Kr\u00fcckeberg, F., \"Defekterfassung bei gew\u00f6hnlichen und partiellen Differentialgleichungen, ISNM, Bd. 9, Birkh\u00e4user-Verlag, Basel, 1966."},{"key":"4_CR10","unstructured":"Kr\u00fcckeberg, F., \"Ordinary differential equations\", [in Topics in Interval Analysis, (E. Hansen, Editor)]. Oxford U. Press, 1969, pp 91\u201397."},{"key":"4_CR11","unstructured":"Moore, R.E., \"Interval Analysis\", Prentice Hall, 1966."},{"key":"4_CR12","unstructured":"Scheu, G. und Adams, E., \"Zur numerischen Konstruktion konvergenter Schrankenfolgen f\u00fcr Systeme nichtlinearer gew\u00f6hnlicher Anfangswertaufgaben\", [this volume]"},{"key":"4_CR13","unstructured":"Spreuer, H., \"Konvergente numerische Schranken f\u00fcr partielle RWA von monotoner Art\", [this volume]"},{"key":"4_CR14","doi-asserted-by":"publisher","first-page":"328","DOI":"10.1007\/BF01931814","volume":"11","author":"N. F. Stewart","year":"1971","unstructured":"Stewart, N.F., \"A heuristic to reduce the wrapping effect in the numerical solution of X\u2032=F (T,X)\", BIT 11, 1971, pp. 328\u2013337.","journal-title":"BIT"},{"key":"4_CR15","unstructured":"Talbot, T.D., \"Guaranted error bounds for computed solutions of nonlinear two-point boundary value problems\" MRC+875, Mathematics Research Center, University of Wisconsin, 1968."}],"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_4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,6]],"date-time":"2020-04-06T10:03:52Z","timestamp":1586167432000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-07170-9_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1975]]},"ISBN":["9783540071709","9783540375043"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/3-540-07170-9_4","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"}}]}}