{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T18:54:36Z","timestamp":1649184876822},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2004,12,20]],"date-time":"2004-12-20T00:00:00Z","timestamp":1103500800000},"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":[[2005,3]]},"DOI":"10.1007\/s00607-004-0094-y","type":"journal-article","created":{"date-parts":[[2004,12,20]],"date-time":"2004-12-20T15:56:15Z","timestamp":1103558175000},"page":"159-175","source":"Crossref","is-referenced-by-count":5,"title":["On the Numerical Solution of Some Semilinear Elliptic Problems ? II"],"prefix":"10.1007","volume":"74","author":[{"given":"K.","family":"Atkinson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Sommariva","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2004,12,20]]},"reference":[{"key":"CR1","unstructured":"Abramowitz, M., Stegun, I. (eds): Handbook of mathematical functions. New York: Dover Publications 1972."},{"key":"CR2","doi-asserted-by":"crossref","unstructured":"Arthurs, A., Clegg, J., Nagar, A.: On the solution of the Liouville equation over a rectangle. J. Appl. Math. Stochastic Anal. 9, 57?67 (1996).","DOI":"10.1155\/S1048953396000068"},{"key":"CR3","doi-asserted-by":"crossref","unstructured":"Atkinson, K.: A survey of numerical methods for solving nonlinear integral equations. J. Integral Equations Appl. 4, 15?46 (1992).","DOI":"10.1216\/jiea\/1181075664"},{"key":"CR4","doi-asserted-by":"crossref","unstructured":"Atkinson, K.: The numerical solution of integral equations of the second kind. Cambridge: Cambridge University Press 1997.","DOI":"10.1017\/CBO9780511626340"},{"key":"CR5","doi-asserted-by":"crossref","unstructured":"Atkinson, K., Han, W.: Theoretical numerical analysis. New York: Springer 2001.","DOI":"10.1007\/978-0-387-21526-6"},{"key":"CR6","unstructured":"Atkinson, K., Han, W.: On the numerical solution of some semilinear elliptic problems. Electr. Trans. Numer. Anal. (forthcoming)."},{"key":"CR7","doi-asserted-by":"crossref","unstructured":"Atkinson, K., Potra, F. A.: Projection and iterated projection methods for nonlinear integral equations. SIAM J. Numer. Anal. 24, 1352?1373 (1987).","DOI":"10.1137\/0724087"},{"key":"CR8","doi-asserted-by":"crossref","unstructured":"Br\u00e9zis, H.: \u00c9quations et in\u00e9quations non lin\u00e9aires dans les espaces vectoriels en dualit\u00e9. Ann. Inst. Fourier 18, 115?175 (1968).","DOI":"10.5802\/aif.280"},{"key":"CR9","doi-asserted-by":"crossref","unstructured":"Frankel, J.: A note on the integral formulation of Kumar and Sloan. J. Comp. Appl. Math. 61, 263?274 (1995).","DOI":"10.1016\/0377-0427(94)00071-3"},{"key":"CR10","doi-asserted-by":"crossref","unstructured":"Kelley, C.: Iterative methods for linear and nonlinear equations. Frontiers Appl. Math. 16. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA 1995.","DOI":"10.1137\/1.9781611970944"},{"key":"CR11","unstructured":"Kelley, C., Sachs, E.: Broyden?s method for approximate solution of nonlinear integral equations. J. Integral Equations 9, 25?43 (1985)."},{"key":"CR12","unstructured":"Krasnoselskii, M.: Topological methods in the theory of nonlinear integral equations. London New York: Pergamon Press 1964."},{"key":"CR13","doi-asserted-by":"crossref","unstructured":"Kumar, S., Sloan I.: A new collocation-type method for Hammerstein integral equations. Math. Comp. 48, 585?593 (1987).","DOI":"10.1090\/S0025-5718-1987-0878692-4"},{"key":"CR14","doi-asserted-by":"crossref","unstructured":"Kuttler, J. R., Sigillito, V. G.: Eigenvalues of the Laplacian in two dimensions. SIAM Rev. 26, 163?193 (1984).","DOI":"10.1137\/1026033"},{"key":"CR15","unstructured":"Stroud, A.: Approximate calculation of multiple integrals. Englewood Cliffs, N. J.: Prentice-Hall 1971."},{"key":"CR16","doi-asserted-by":"crossref","unstructured":"Zeidler, E.: Nonlinear functional analysis and its applications, II\/B: nonlinear monotone operators. New York: Springer 1990.","DOI":"10.1007\/978-1-4612-0981-2"}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-004-0094-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00607-004-0094-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-004-0094-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,4]],"date-time":"2020-04-04T20:57:56Z","timestamp":1586033876000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00607-004-0094-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,12,20]]},"references-count":16,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2005,3]]}},"alternative-id":["94"],"URL":"https:\/\/doi.org\/10.1007\/s00607-004-0094-y","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,12,20]]}}}