{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T00:34:44Z","timestamp":1726014884139},"publisher-location":"Cham","reference-count":11,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030115388"},{"type":"electronic","value":"9783030115395"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"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":[[2019]]},"DOI":"10.1007\/978-3-030-11539-5_29","type":"book-chapter","created":{"date-parts":[[2019,3,8]],"date-time":"2019-03-08T15:26:23Z","timestamp":1552058783000},"page":"266-273","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Conservative Finite-Difference Algorithm for the Thermodiffusion Stefan Problem"],"prefix":"10.1007","author":[{"given":"A.","family":"Gusev","sequence":"first","affiliation":[]},{"given":"O.","family":"Mazhorova","sequence":"additional","affiliation":[]},{"given":"O.","family":"Shcheritsa","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,1,26]]},"reference":[{"key":"29_CR1","doi-asserted-by":"publisher","first-page":"5322","DOI":"10.1063\/1.326630","volume":"50","author":"MB Small","year":"1979","unstructured":"Small, M.B., Ghez, R.: Growth and dissolution kinetics of III-V heterostructures formed by LPE. J. Appl. Phys. 50, 5322 (1979)","journal-title":"J. Appl. Phys."},{"key":"29_CR2","doi-asserted-by":"publisher","first-page":"1589","DOI":"10.1063\/1.327813","volume":"51","author":"MB Small","year":"1980","unstructured":"Small, M.B., Ghez, R.: Growth and dissolution kinetics of III-V heterostructures formed by LPE. II. Comparison between thermodynamic and kinetic models. J. Appl. Phys. 51, 1589 (1980)","journal-title":"J. Appl. Phys."},{"key":"29_CR3","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1016\/0022-0248(95)00437-8","volume":"158","author":"M Kimura","year":"1996","unstructured":"Kimura, M., Qin, Z., Dost, S.: A solid-liquid diffusion model for growth and dissolution of ternary alloys by liquid phase epitaxy. J. Crystal Growth 158, 231\u2013240 (1996)","journal-title":"J. Crystal Growth"},{"key":"29_CR4","volume-title":"Single Crystal Growth of Semiconductors from Metallic Solutions","author":"S Dost","year":"2007","unstructured":"Dost, S., Lent, B.: Single Crystal Growth of Semiconductors from Metallic Solutions. Elsevier, Amsterdam (2007)"},{"key":"29_CR5","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1016\/j.jcrysgro.2006.01.055","volume":"290","author":"OV Shcheritsa","year":"2006","unstructured":"Shcheritsa, O.V., Mazhorova, O.S., Denisov, I.A., Popov, Y.P., Elyutin, A.V.: Numerical study for diffusion processes in dissolution and growth of \n \n \n \n $${\\rm Cd}_x{\\rm Hg}_{1-x}{\\rm Te}\/{\\rm CdTe}$$\n heterostructures formed by LPE. Part I. Isothermal conditions. J. Crystal Growth 290, 350\u2013356 (2006)","journal-title":"J. Crystal Growth"},{"key":"29_CR6","doi-asserted-by":"crossref","unstructured":"Gusev, A.O., Shcheritsa, O.V., Mazhorova, O.S.: Numerical study of ternary alloy crystallization in the cylindrical ampule. Keldysh Institute of Applied Mathematics, Preprint 215 (2016)","DOI":"10.20948\/prepr-2016-125"},{"key":"29_CR7","unstructured":"Shcheritsa, O.V., Gusev, A.O., Mazhorova, O.S.: On solution to phase transition problem in multicomponent alloy in the cylindrical ampule. Herald Bauman Moscow State Tech. Univ. Nat. Sci. 5, 118\u2013138 (2017)"},{"key":"29_CR8","unstructured":"Bakirova, O.I.: Numerical simulation of zone melting processes on the basis of the solution of the problem of phase transition to binary systems. Mathematical modeling. Producing of crystals and semiconductor structures, pp. 142\u2013158. Moscow, Nauka Publisher (1986). [publication in Russian]"},{"key":"29_CR9","first-page":"81","volume":"8","author":"HG Landau","year":"1950","unstructured":"Landau, H.G.: Heat conduction in a melting solid. J. Appl. Math. 8, 81\u201394 (1950)","journal-title":"J. Appl. Math."},{"key":"29_CR10","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1016\/j.jcp.2005.02.031","volume":"209","author":"TC Illingworth","year":"2005","unstructured":"Illingworth, T.C., Golosnoy, I.O.: Numerical solutions of diffusion controlled moving boundary problems which conserve solute. J. Comput. Phys. 209, 207\u2013225 (2005)","journal-title":"J. Comput. Phys."},{"issue":"7","key":"29_CR11","doi-asserted-by":"publisher","first-page":"869","DOI":"10.1134\/S0012266113070094","volume":"49","author":"OS Mazhorova","year":"2013","unstructured":"Mazhorova, O.S., Popov, Y.P., Shcheritsa, O.V.: Conservative scheme for the thermodiffusion Stefan problem. Differ. Equ. 49(7), 869\u2013882 (2013)","journal-title":"Differ. Equ."}],"container-title":["Lecture Notes in Computer Science","Finite Difference Methods. Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-11539-5_29","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T10:20:24Z","timestamp":1558347624000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-11539-5_29"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030115388","9783030115395"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-11539-5_29","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"26 January 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"FDM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Finite Difference Methods","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Lozenetz","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Bulgaria","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2018","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"11 June 2018","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"16 June 2018","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"7","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"fdm2018","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/parallel.bas.bg\/dpa\/FDM2018\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}