{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T19:10:28Z","timestamp":1769973028387,"version":"3.49.0"},"reference-count":63,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[1998,1]]},"DOI":"10.1137\/s0036144595285057","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T15:12:06Z","timestamp":1055344326000},"page":"616-635","source":"Crossref","is-referenced-by-count":25,"title":["A Similarity Approach to the Numerical Solution of Free Boundary Problems"],"prefix":"10.1137","volume":"40","author":[{"given":"Riccardo","family":"Fazio","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1002\/aic.690060227"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(76)90010-9"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7462(88)90022-4"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971231"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/1023039"},{"key":"R7","unstructured":"G. Barenblatt, Podobie, avtomodelnost, promezhutochnaya asimptotika, \u201cGidrometeoizdat\u201d, 1982, 256\u20130, Teoriya i prilozheniya k geofizicheskoi gidrodinamike. [Theory and applications to geophysical hydrodynamics]; With a preface by Ya. B. Zel\u2019dovich With an English summary84h:76026"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1137\/0706010"},{"key":"R9","first-page":"7","author":"Mikhailov G.","year":"1999","journal-title":"Izv. Ross. Akad. Nauk Mekh. Zhidk. Gaza"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-6394-4"},{"key":"R11","first-page":"0","volume":"258","author":"Baumann Gerd","year":"1999","journal-title":"Zap. Nauchn. Sem. S.\u2010Peterburg. Otdel. Mat. Inst. Steklov. (POMI)"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(71)90090-8"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1007\/BF01587695"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1971-0298961-7"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7462(87)90023-0"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1063\/1.1659262"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1137\/1028109"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1080\/14786443109461870"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.1016\/0096-3003(90)90123-K"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1080\/00207169008803947"},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1016\/0096-3003(91)90046-P"},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1007\/BF01170800"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1016\/0165-2125(92)90019-X"},{"key":"R29","doi-asserted-by":"publisher","DOI":"10.1016\/0377-0427(92)90138-N"},{"key":"R32","doi-asserted-by":"publisher","DOI":"10.1007\/BF02575722"},{"key":"R34","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142993252042"},{"key":"R35","doi-asserted-by":"publisher","DOI":"10.1080\/00036819708840573"},{"key":"R37","doi-asserted-by":"publisher","DOI":"10.1080\/00207169008803804"},{"key":"R38","doi-asserted-by":"publisher","DOI":"10.1016\/0168-9274(93)90065-Y"},{"key":"R39","doi-asserted-by":"publisher","DOI":"10.1002\/aic.690150307"},{"key":"R40","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(86)90067-3"},{"key":"R41","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7462(81)90020-2"},{"key":"R42","volume-title":"Proceedings of the International Symposium on Modern Developments in Fluid Dynamics","author":"Rom J.","year":"1977"},{"key":"R43","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112085001975"},{"key":"R44","volume-title":"Similarity analyses of boundary value problems in engineering","author":"Hansen Arthur","year":"1964"},{"key":"R45","volume-title":"Solution of differential equations by means of one\u2010parameter groups","author":"Hill James","year":"1982"},{"key":"R46","doi-asserted-by":"publisher","DOI":"10.2307\/2323277"},{"key":"R47","volume-title":"CRC handbook of Lie group analysis of differential equations. Vol. 1","author":"Ames W.","year":"1994"},{"key":"R48","volume-title":"CRC handbook of Lie group analysis of differential equations. Vol. 2","author":"Ibragimov N.","year":"1995"},{"key":"R49","volume-title":"CRC handbook of Lie group analysis of differential equations. Vol. 3","author":"Anderson R.","year":"1996"},{"key":"R50","doi-asserted-by":"publisher","DOI":"10.1137\/1004006"},{"key":"R51","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(70)90299-4"},{"key":"R52","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1090\/qam\/33441","volume":"8","author":"Landau H. G.","year":"1950","journal-title":"Quart. Appl. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0033-569X","issn-type":"print"},{"key":"R54","doi-asserted-by":"publisher","DOI":"10.1137\/0721057"},{"key":"R55","volume-title":"Initial value methods for boundary value problems","author":"Meyer Gunter","year":"1973"},{"key":"R56","doi-asserted-by":"publisher","DOI":"10.1137\/1009033"},{"key":"R57","doi-asserted-by":"publisher","DOI":"10.1115\/1.3425046"},{"key":"R58","unstructured":"Ts. Na, Vychislitelnye metody resheniya prikladnykh granichnykh zadach, \u201cMir\u201d, 1982, 296\u20130, Translated from the English by V. E. Kondrashov, A. S. Sukhikh and B. N. Shamraev; Edited and with a preface by I. D. Sofronov84d:65001"},{"key":"R59","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19690490107"},{"key":"R60","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4350-2"},{"key":"R61","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511609565"},{"key":"R63","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(86)90247-7"},{"key":"R64","first-page":"65","volume":"32","author":"Tovmasyan N.","year":"1997","journal-title":"Izv. Nats. Akad. Nauk Armenii Mat."},{"key":"R65","doi-asserted-by":"publisher","DOI":"10.1115\/1.3425378"},{"key":"R66","unstructured":"L. Sedov, Metody podobiya i razmernosti v mekhanike, \u201cNauka\u201d, 1987, 431\u2013088m:00029"},{"key":"R67","first-page":"141","volume":"32","author":"Seshadri R.","year":"1982","journal-title":"Ind. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0019-8528","issn-type":"print"},{"key":"R69","doi-asserted-by":"publisher","DOI":"10.1016\/0022-460X(81)90315-1"},{"key":"R70","doi-asserted-by":"publisher","DOI":"10.1121\/1.387777"},{"key":"R71","volume-title":"Introduction \u00e0 l\u2019analyse num\u00e9rique","author":"Rappaz Jacques","year":"1998"},{"key":"R72","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7462(71)90032-1"},{"key":"R73","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1950.0049"},{"key":"R74","first-page":"397","volume":"60","author":"T\u00f6pfer K.","year":"1912","journal-title":"Z. Math. Phys."},{"key":"R75","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1090\/qam\/1079908","volume":"48","author":"Wang C.","year":"1990","journal-title":"Quart. Appl. Math."},{"key":"R76","doi-asserted-by":"publisher","DOI":"10.2307\/1968875"}],"container-title":["SIAM Review"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0036144595285057","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,15]],"date-time":"2017-06-15T21:53:38Z","timestamp":1497563618000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/S0036144595285057"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,1]]},"references-count":63,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1998,1]]}},"alternative-id":["10.1137\/S0036144595285057"],"URL":"https:\/\/doi.org\/10.1137\/s0036144595285057","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,1]]}}}