{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T09:49:58Z","timestamp":1773308998942,"version":"3.50.1"},"reference-count":8,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1981,6,1]],"date-time":"1981-06-01T00:00:00Z","timestamp":360201600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[1981,6]]},"DOI":"10.1007\/bf02241779","type":"journal-article","created":{"date-parts":[[2005,11,14]],"date-time":"2005-11-14T19:15:24Z","timestamp":1131995724000},"page":"123-139","source":"Crossref","is-referenced-by-count":98,"title":["On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems","Zur Korrektur der Differenzen-Eigenwertapproximationen bei Sturm-Liouville-Problemen"],"prefix":"10.1007","volume":"26","author":[{"given":"J. W.","family":"Paine","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"F. R.","family":"de Hoog","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R. S.","family":"Anderssen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02241779_CR1","volume-title":"Methods of mathematical physics","author":"R. Courant","year":"1953","unstructured":"Courant, R., Hilbert, D.: Methods of mathematical physics, Vol. 1. New York: Interscience 1953."},{"key":"BF02241779_CR2","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1016\/0022-247X(67)90009-1","volume":"19","author":"G. Fix","year":"1967","unstructured":"Fix, G.: Asymptotic eigenvalues for Sturm-Liouville systems. J. Math. Anal. Appl.19, 519\u2013525 (1967).","journal-title":"J. Math. Anal. Appl."},{"key":"BF02241779_CR3","volume-title":"Analysis of numerical methods","author":"E. Isaacson","year":"1966","unstructured":"Isaacson, E., Keller, H. B.: Analysis of numerical methods. New York: John Wiley and Sons, Inc. 1966."},{"key":"BF02241779_CR4","volume-title":"Numerical methods for two-point boundary value problems","author":"H. B. Keller","year":"1968","unstructured":"Keller, H. B.: Numerical methods for two-point boundary value problems. Waltham: Blaisdell 1968."},{"key":"BF02241779_CR5","unstructured":"Paine, J. W.: Numerical approximation of Sturm-Liouville eigenvalues. Ph. D. Thesis, Australian National University, October, 1979, p. 142."},{"key":"BF02241779_CR6","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1017\/S0334270000002459","volume":"21","author":"J. W. Paine","year":"1980","unstructured":"Paine, J. W., de Hoog, F.: Uniform estimation of the eigenvalues of Sturm-Liouville problems. J. Aust. Math. Soc.B 21, 365\u2013383 (1980).","journal-title":"J. Aust. Math. Soc. B"},{"key":"BF02241779_CR7","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1007\/BF01436595","volume":"24","author":"S. Pruess","year":"1975","unstructured":"Pruess, S.: High order approximations to Sturm-Liouville eigenvalues. Numer. Math.24, 241\u2013247 (1975).","journal-title":"Numer. Math."},{"key":"BF02241779_CR8","volume-title":"The algebraic eigenvalue problem","author":"J. H. Wilkinson","year":"1965","unstructured":"Wilkinson, J. H.: The algebraic eigenvalue problem. Oxford: Clarendon Press 1965."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02241779.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02241779\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02241779","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T23:15:46Z","timestamp":1557875746000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02241779"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1981,6]]},"references-count":8,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1981,6]]}},"alternative-id":["BF02241779"],"URL":"https:\/\/doi.org\/10.1007\/bf02241779","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1981,6]]}}}