{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T21:09:52Z","timestamp":1725484192548},"publisher-location":"Berlin, Heidelberg","reference-count":12,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540437925"},{"type":"electronic","value":"9783540480860"}],"license":[{"start":{"date-parts":[[2002,1,1]],"date-time":"2002-01-01T00:00:00Z","timestamp":1009843200000},"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":[[2002]]},"DOI":"10.1007\/3-540-48086-2_75","type":"book-chapter","created":{"date-parts":[[2007,5,28]],"date-time":"2007-05-28T02:54:50Z","timestamp":1180320890000},"page":"679-686","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Multi-phase Inverse Stefan Problems Solved by Approximation Method"],"prefix":"10.1007","author":[{"given":"Rados\u0142aw","family":"Grzymkowski","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Damian","family":"S\u0142ota","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2002,6,6]]},"reference":[{"key":"75_CR1","doi-asserted-by":"crossref","unstructured":"Collatz, L.: Numerical methods for solving differential equations. PWN, Warsaw (1960) (in Polish)","DOI":"10.1007\/978-3-662-05500-7"},{"key":"75_CR2","doi-asserted-by":"publisher","first-page":"996","DOI":"10.1137\/0144070","volume":"44","author":"D. Colton","year":"1984","unstructured":"Colton, D., Reemtsen, R.: The numerical solution of the inverse Stefan problem in two space variables. SIAM J. Appl. Math. 44 (1984) 996\u20131013","journal-title":"SIAM J. Appl. Math."},{"key":"75_CR3","unstructured":"Grzymkowski, R., S\u0142ota, D.: Determination of unknown thermal coefficient in continuous casting. In: Fritz, H. G. (ed.): Proc. of the 3rd ESAFORM Conference on Material Forming. Universit\u00e4t Stuttgart (2000) X11\u2013X14"},{"key":"75_CR4","first-page":"41","volume-title":"Moving Boundaries VI","author":"R. Grzymkowski","year":"2001","unstructured":"Grzymkowski, R., S\u0142ota, D.: Numerical calculations of the heat-transfer coefficient during solidification of alloys. In: Sarler, B., Brebbia, C. A.: Moving Boundaries VI. WIT Press, Southampton (2001) 41\u201350"},{"key":"75_CR5","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1002\/nme.1620380105","volume":"38","author":"S. Kang","year":"1995","unstructured":"Kang, S., Zabaras, N.: Control of freezing interface motion in two-dimensional solidification processes using the adjoint method. Int. J. Numer. Methods Eng. 38 (1995) 63\u201380","journal-title":"Int. J. Numer. Methods Eng."},{"key":"75_CR6","volume-title":"PhD thesis","author":"D. S\u0142ota","year":"1999","unstructured":"S\u0142ota, D.: Inverse Problems in Modelling of Process with Phase Change. PhD thesis. Silesian University of Technology, Gliwice (1999) (in Polish)"},{"key":"75_CR7","first-page":"25","volume":"35","author":"D. A. Tarzia","year":"1991","unstructured":"Tarzia, D. A.: On a new variant for the simultaneous calculation of thermal coefficients of a semi-infinite material by direct or inverse two-phase Stefan problem. Math. Notae 35 (1991) 25\u201341","journal-title":"Math. Notae"},{"key":"75_CR8","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1080\/10407799208944921","volume":"21","author":"V. R. Voller","year":"1992","unstructured":"Voller, V. R.: Enthalpy method for inverse Stefan problems. Numer. Heat Transf. B 21 (1992) 41\u201355","journal-title":"Numer. Heat Transf. B"},{"key":"75_CR9","volume-title":"The heat equation","author":"D. V. Widder","year":"1975","unstructured":"Widder, D. V.: The heat equation. Academic Press, New York (1975)"},{"key":"75_CR10","doi-asserted-by":"publisher","first-page":"1569","DOI":"10.1002\/nme.1620290713","volume":"29","author":"N. Zabaras","year":"1990","unstructured":"Zabaras, N.: Inverse finite element techniques for the analysis of soldification processes. Int. J. Numer. Methods Eng. 29 (1990) 1569\u20131587","journal-title":"Int. J. Numer. Methods Eng."},{"key":"75_CR11","doi-asserted-by":"publisher","first-page":"3937","DOI":"10.1002\/nme.1620362304","volume":"36","author":"N. Zabaras","year":"1993","unstructured":"Zabaras, N., Kang, S.: On the solution of an ill-posed design solidification problem using minimization techniques in finite-and infinite-dimensional function space. Int. J. Numer. Methods Eng. 36 (1993) 3937\u20133990","journal-title":"Int. J. Numer. Methods Eng."},{"key":"75_CR12","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1080\/10407799408914919","volume":"26","author":"N. Zabaras","year":"1994","unstructured":"Zabaras, N., Yuan, K.: Dynamic programming approach to the inverse Stefan design problem. Numer. Heat Transf. B 26 (1994) 97\u2013104","journal-title":"Numer. Heat Transf. B"}],"container-title":["Lecture Notes in Computer Science","Parallel Processing and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-48086-2_75","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,19]],"date-time":"2019-05-19T09:42:46Z","timestamp":1558258966000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-48086-2_75"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002]]},"ISBN":["9783540437925","9783540480860"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/3-540-48086-2_75","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2002]]},"assertion":[{"value":"6 June 2002","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}