{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T22:37:45Z","timestamp":1649025465376},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1967,3,1]],"date-time":"1967-03-01T00:00:00Z","timestamp":-89596800000},"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":[[1967,3]]},"DOI":"10.1007\/bf02235510","type":"journal-article","created":{"date-parts":[[2005,10,21]],"date-time":"2005-10-21T05:13:53Z","timestamp":1129871633000},"page":"25-33","source":"Crossref","is-referenced-by-count":4,"title":["A functional analytic approach to the numerical solution of nonlinear elliptic equations"],"prefix":"10.1007","volume":"2","author":[{"given":"E.","family":"Allgower","sequence":"first","affiliation":[]},{"given":"R.","family":"Guenther","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF02235510_CR1","doi-asserted-by":"crossref","first-page":"229","DOI":"10.6028\/jres.051.030","volume":"51","author":"L. Bers","year":"1953","unstructured":"Bers, L.: On Mildly Nonlinear Partial Differential Equations of Elliptic Type. J. Res. Nat. Bur. Standards Sect. B,51, 229\u2013236 (1953).","journal-title":"J. Res. Nat. Bur. Standards Sect. B"},{"key":"BF02235510_CR2","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1002\/zamm.19630430303","volume":"43","author":"L. Bittner","year":"1963","unstructured":"Bittner, L.: Mehrpunktverfahren zur Aufl\u00f6sung von Gleichungssystemen. ZAMM,43, 111\u2013126 (1963).","journal-title":"ZAMM"},{"key":"BF02235510_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-95028-5","volume-title":"Funktionalanalysis und Numerische Mathematik","author":"L. Collatz","year":"1964","unstructured":"Collatz, L.: Funktionalanalysis und Numerische Mathematik. Berlin: Springer-Verlag, 1964."},{"key":"BF02235510_CR4","volume-title":"Methods of Mathematical Physics. Vol. II","author":"R. Courant","year":"1962","unstructured":"Courant, R. andD. Hilbert: Methods of Mathematical Physics. Vol. II, New York, Wiley (Interscience), 1962."},{"key":"BF02235510_CR5","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1007\/BF01386322","volume":"4","author":"J. Douglas Jr.","year":"1962","unstructured":"Douglas, Jr.J.: Alternating Direction Iteration for Mildly Nonlinear Elliptic Difference Equations. Numer. Math.,4, 301\u2013302 (1962).","journal-title":"Numer. Math."},{"key":"BF02235510_CR6","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/BF01397686","volume":"7","author":"D. Greenspan","year":"1965","unstructured":"Greenspan, D. andS. V. Parter: Numerical Methods for Mildly Nonlinear Elliptic Partial Differential Equations II. Numer. Math.,7, 129\u2013146 (1965).","journal-title":"Numer. Math."},{"key":"BF02235510_CR7","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1007\/BF01386072","volume":"6","author":"J. E. Gunn","year":"1964","unstructured":"Gunn, J. E.: On the Two-Stage Iterative Method of Douglas for Mildly Nonlinear Elliptic Difference Equations. Numer. Math.,6, 243\u2013249 (1964).","journal-title":"Numer. Math."},{"key":"BF02235510_CR8","first-page":"59","volume-title":"Numerical Solution of Partial Differential Equations","author":"M. Lees","year":"1966","unstructured":"Lees, M.: Discrete Methods for Nonlinear Two-Point Boundary Value Problems. Numerical Solution of Partial Differential Equations. 59\u201372, New York, Academic Press, 1966."},{"key":"BF02235510_CR9","unstructured":"Lees, M.: A Unified Treatment of Discrete Methods for the Numerical Solution of Nonlinear Two-Point Boundary Value Problems (to appear). Text given in SIAM Distinguished Lecture Series."},{"key":"BF02235510_CR10","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1137\/0703002","volume":"13","author":"G. T. McAllister","year":"1966","unstructured":"McAllister, G. T.: Quasilinear Uniformly Elliptic Partial Differential Equations and Difference Equations. J. SIAM Numer. Anal.,13, 13\u201333 (1966).","journal-title":"J. SIAM Numer. Anal."},{"key":"BF02235510_CR11","doi-asserted-by":"crossref","first-page":"837","DOI":"10.1090\/S0002-9904-1934-05978-0","volume":"40","author":"E. J. McShane","year":"1934","unstructured":"McShane, E. J.: Extension of Range of Functions. Bull. AMS,40, 837\u2013842 (1934).","journal-title":"Bull. AMS"},{"key":"BF02235510_CR12","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/BF01397685","volume":"7","author":"S. V. Parter","year":"1965","unstructured":"Parter, S. V.: Numerical Methods for Mildly Nonlinear Elliptic Partial Differential Equations I. Numer. Math.,7, 113\u2013128 (1965).","journal-title":"Numer. Math."},{"key":"BF02235510_CR13","first-page":"73","volume-title":"Numerical Solution of Partial Differential Equations","author":"S. V. Parter","year":"1966","unstructured":"Parter, S. V.: Numerical Computation of Solutions of \u0394u=f (P, u). Numerical Solution of Partial Differential Equations. 73\u201382. New York, Academic Press, 1966."},{"key":"BF02235510_CR14","doi-asserted-by":"crossref","unstructured":"Schechter, S.: Iteration Methods for Nonlinear Problems. Trans. AMS, 179\u2013189 (1962).","DOI":"10.1090\/S0002-9947-1962-0152142-7"},{"key":"BF02235510_CR15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1002\/zamm.19630430102","volume":"43","author":"J. W. Schmidt","year":"1963","unstructured":"Schmidt, J. W.: Eine \u00dcbertragung der Regula Falsi auf Gleichungen inBanachr\u00e4umen I, II, ZAMM,43, 1\u20138 (1963), ZAMM,43, 97\u2013110 (1963).","journal-title":"ZAMM"},{"key":"BF02235510_CR16","unstructured":"Smirnov, W. I.: Lehrgang der H\u00f6heren Mathematik, Teil V, Berlin, VEB Deutscher Verlag der Wissenschaften, 1961, (\u00dcbersetzung aus dem Russischen)"}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02235510.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02235510\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02235510","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,10]],"date-time":"2020-04-10T12:17:36Z","timestamp":1586521056000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02235510"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1967,3]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1967,3]]}},"alternative-id":["BF02235510"],"URL":"https:\/\/doi.org\/10.1007\/bf02235510","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1967,3]]}}}