{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:07:33Z","timestamp":1772294853095,"version":"3.50.1"},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2017,1,2]],"date-time":"2017-01-02T00:00:00Z","timestamp":1483315200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"publisher","award":["2009-0093827"],"award-info":[{"award-number":["2009-0093827"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"publisher","award":["2015-003037"],"award-info":[{"award-number":["2015-003037"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002630","name":"Ewha Womans University","doi-asserted-by":"publisher","award":["RP-Grant"],"award-info":[{"award-number":["RP-Grant"]}],"id":[{"id":"10.13039\/501100002630","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2017,6]]},"DOI":"10.1007\/s10915-016-0340-4","type":"journal-article","created":{"date-parts":[[2017,1,2]],"date-time":"2017-01-02T08:46:19Z","timestamp":1483346779000},"page":"1303-1318","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["A Second-Order Operator Splitting Fourier Spectral Method for Models of Epitaxial Thin Film Growth"],"prefix":"10.1007","volume":"71","author":[{"given":"Hyun Geun","family":"Lee","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jaemin","family":"Shin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8029-4931","authenticated-orcid":false,"given":"June-Yub","family":"Lee","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,1,2]]},"reference":[{"key":"340_CR1","doi-asserted-by":"publisher","first-page":"1039","DOI":"10.1063\/1.1726787","volume":"44","author":"G Ehrlich","year":"1966","unstructured":"Ehrlich, G., Hudda, F.G.: Atomic view of surface self-diffusion: Tungsten on tungsten. J. Chem. Phys. 44, 1039\u20131049 (1966)","journal-title":"J. Chem. Phys."},{"key":"340_CR2","doi-asserted-by":"publisher","first-page":"3682","DOI":"10.1063\/1.1707904","volume":"37","author":"RL Schwoebel","year":"1966","unstructured":"Schwoebel, R.L., Shipsey, E.J.: Step motion on crystal surfaces. J. Appl. Phys. 37, 3682\u20133686 (1966)","journal-title":"J. Appl. Phys."},{"key":"340_CR3","doi-asserted-by":"publisher","first-page":"614","DOI":"10.1063\/1.1657442","volume":"40","author":"RL Schwoebel","year":"1969","unstructured":"Schwoebel, R.L.: Step motion on crystal surfaces. II. J. Appl. Phys. 40, 614\u2013618 (1969)","journal-title":"J. Appl. Phys."},{"key":"340_CR4","doi-asserted-by":"publisher","first-page":"697","DOI":"10.1016\/S0022-5096(98)00102-1","volume":"47","author":"M Ortiz","year":"1999","unstructured":"Ortiz, M., Repetto, E.A., Si, H.: A continuum model of kinetic roughening and coarsening in thin films. J. Mech. Phys. Solids 47, 697\u2013730 (1999)","journal-title":"J. Mech. Phys. Solids"},{"key":"340_CR5","doi-asserted-by":"publisher","first-page":"116","DOI":"10.1103\/PhysRevLett.72.116","volume":"72","author":"MD Johnson","year":"1994","unstructured":"Johnson, M.D., Orme, C., Hunt, A.W., Graff, D., Sudijono, J., Sander, L.M., Orr, B.G.: Stable and unstable growth in molecular beam epitaxy. Phys. Rev. Lett. 72, 116\u2013119 (1994)","journal-title":"Phys. Rev. Lett."},{"key":"340_CR6","doi-asserted-by":"publisher","first-page":"459","DOI":"10.1016\/S0022-247X(03)00474-8","volume":"286","author":"BB King","year":"2003","unstructured":"King, B.B., Stein, O., Winkler, M.: A fourth-order parabolic equation modeling epitaxial thin film growth. J. Math. Anal. Appl. 286, 459\u2013490 (2003)","journal-title":"J. Math. Anal. Appl."},{"key":"340_CR7","doi-asserted-by":"publisher","first-page":"713","DOI":"10.1017\/S095679250300528X","volume":"14","author":"B Li","year":"2003","unstructured":"Li, B., Liu, J.-G.: Thin film epitaxy with or without slope selection. Eur. J. Appl. Math. 14, 713\u2013743 (2003)","journal-title":"Eur. J. Appl. Math."},{"key":"340_CR8","doi-asserted-by":"publisher","first-page":"6190","DOI":"10.1103\/PhysRevE.61.6190","volume":"61","author":"D Moldovan","year":"2000","unstructured":"Moldovan, D., Golubovi\u0107, L.: Interfacial coarsening dynamics in epitaxial growth with slope selection. Phys. Rev. E 61, 6190\u20136214 (2000)","journal-title":"Phys. Rev. E"},{"key":"340_CR9","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1103\/PhysRevLett.78.90","volume":"78","author":"L Golubovi\u0107","year":"1997","unstructured":"Golubovi\u0107, L.: Interfacial coarsening in epitaxial growth models without slope selection. Phys. Rev. Lett. 78, 90\u201393 (1997)","journal-title":"Phys. Rev. Lett."},{"key":"340_CR10","doi-asserted-by":"publisher","first-page":"405","DOI":"10.3934\/dcds.2010.28.405","volume":"28","author":"C Wang","year":"2010","unstructured":"Wang, C., Wang, X., Wise, S.M.: Unconditionally stable schemes for equations of thin film epitaxy. DCDS-A 28, 405\u2013423 (2010)","journal-title":"DCDS-A"},{"key":"340_CR11","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1557\/PROC-529-39","volume":"529","author":"D Eyre","year":"1998","unstructured":"Eyre, D.: Unconditionally gradient stable time marching the Cahn\u2013Hilliard equation. MRS Proc. 529, 39\u201346 (1998)","journal-title":"MRS Proc."},{"key":"340_CR12","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1137\/110822839","volume":"50","author":"J Shen","year":"2012","unstructured":"Shen, J., Wang, C., Wang, X., Wise, S.M.: Second-order convex splitting schemes for gradient flows with Ehrlich\u2013Schwoebel type energy: application to thin film epitaxy. SIAM J. Numer. Anal. 50, 105\u2013125 (2012)","journal-title":"SIAM J. Numer. Anal."},{"key":"340_CR13","doi-asserted-by":"publisher","first-page":"574","DOI":"10.1007\/s10915-013-9774-0","volume":"59","author":"W Chen","year":"2014","unstructured":"Chen, W., Wang, C., Wang, X., Wise, S.M.: A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection. J. Sci. Comput. 59, 574\u2013601 (2014)","journal-title":"J. Sci. Comput."},{"key":"340_CR14","doi-asserted-by":"publisher","first-page":"546","DOI":"10.1007\/s10915-011-9559-2","volume":"52","author":"W Chen","year":"2012","unstructured":"Chen, W., Conde, S., Wang, C., Wang, X., Wise, S.M.: A linear energy stable scheme for a thin film model without slope selection. J. Sci. Comput. 52, 546\u2013562 (2012)","journal-title":"J. Sci. Comput."},{"key":"340_CR15","doi-asserted-by":"publisher","first-page":"506","DOI":"10.1137\/0705041","volume":"5","author":"G Strang","year":"1968","unstructured":"Strang, G.: On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 5, 506\u2013517 (1968)","journal-title":"SIAM J. Numer. Anal."},{"key":"340_CR16","doi-asserted-by":"publisher","first-page":"200","DOI":"10.1007\/s10915-010-9381-2","volume":"45","author":"A Chertock","year":"2010","unstructured":"Chertock, A., Doering, C.R., Kashdan, E., Kurganov, A.: A fast explicit operator splitting method for passive scalar advection. J. Sci. Comput. 45, 200\u2013214 (2010)","journal-title":"J. Sci. Comput."},{"key":"340_CR17","doi-asserted-by":"publisher","first-page":"174","DOI":"10.1016\/j.camwa.2014.05.015","volume":"68","author":"HG Lee","year":"2014","unstructured":"Lee, H.G., Lee, J.-Y.: A semi-analytical Fourier spectral method for the Allen\u2013Cahn equation. Comput. Math. Appl. 68, 174\u2013184 (2014)","journal-title":"Comput. Math. Appl."},{"key":"340_CR18","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1016\/j.physa.2015.03.012","volume":"432","author":"HG Lee","year":"2015","unstructured":"Lee, H.G., Lee, J.-Y.: A second order operator splitting method for Allen\u2013Cahn type equations with nonlinear source terms. Phys. A 432, 24\u201334 (2015)","journal-title":"Phys. A"},{"key":"340_CR19","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1016\/j.jcp.2015.06.038","volume":"299","author":"HG Lee","year":"2015","unstructured":"Lee, H.G., Shin, J., Lee, J.-Y.: First and second order operator splitting methods for the phase field crystal equation. J. Comput. Phys. 299, 82\u201391 (2015)","journal-title":"J. Comput. Phys."},{"key":"340_CR20","doi-asserted-by":"publisher","first-page":"837","DOI":"10.1007\/s10915-014-9950-x","volume":"64","author":"C-Y Kao","year":"2015","unstructured":"Kao, C.-Y., Kurganov, A., Qu, Z., Wang, Y.: A fast explicit operator splitting method for modified Buckley\u2013Leverett equations. J. Sci. Comput. 64, 837\u2013857 (2015)","journal-title":"J. Sci. Comput."},{"key":"340_CR21","doi-asserted-by":"publisher","first-page":"735","DOI":"10.1023\/A:1022396519656","volume":"40","author":"T Jahnke","year":"2000","unstructured":"Jahnke, T., Lubich, C.: Error bounds for exponential operator splittings. BIT Numer. Math. 40, 735\u2013744 (2000)","journal-title":"BIT Numer. Math."},{"key":"340_CR22","doi-asserted-by":"publisher","first-page":"2141","DOI":"10.1090\/S0025-5718-08-02101-7","volume":"77","author":"C Lubich","year":"2008","unstructured":"Lubich, C.: On splitting methods for Schr\u00f6dinger\u2013Poisson and cubic nonlinear Schr\u00f6dinger equations. Math. Comput. 77, 2141\u20132153 (2008)","journal-title":"Math. Comput."},{"key":"340_CR23","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1002\/fld.1355","volume":"59","author":"A Chertock","year":"2009","unstructured":"Chertock, A., Kurganov, A., Petrova, G.: Fast explicit operator splitting method for convection-diffusion equations. Int. J. Numer. Methods Fluids 59, 309\u2013332 (2009)","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"340_CR24","doi-asserted-by":"publisher","first-page":"821","DOI":"10.1090\/S0025-5718-2010-02402-0","volume":"80","author":"H Holden","year":"2011","unstructured":"Holden, H., Karlsen, K.H., Risebro, N.H., Tao, T.: Operator splitting for the KdV equation. Math. Comput. 80, 821\u2013846 (2011)","journal-title":"Math. Comput."},{"key":"340_CR25","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1090\/S0025-5718-2012-02624-X","volume":"82","author":"H Holden","year":"2013","unstructured":"Holden, H., Lubich, C., Risebro, N.H.: Operator splitting for partial differential equations with Burgers nonlinearity. Math. Comput. 82, 173\u2013185 (2013)","journal-title":"Math. Comput."},{"key":"340_CR26","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/j.jcp.2015.09.005","volume":"303","author":"Y Cheng","year":"2015","unstructured":"Cheng, Y., Kurganova, A., Qu, Z., Tang, T.: Fast and stable explicit operator splitting methods for phase-field models. J. Comput. Phys. 303, 45\u201365 (2015)","journal-title":"J. Comput. Phys."},{"key":"340_CR27","doi-asserted-by":"publisher","first-page":"372","DOI":"10.1007\/BF02512373","volume":"38","author":"AA Medovikov","year":"1998","unstructured":"Medovikov, A.A.: High order explicit methods for parabolic equations. BIT Numer. Math. 38, 372\u2013390 (1998)","journal-title":"BIT Numer. Math."},{"key":"340_CR28","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1007\/s00332-004-0634-9","volume":"14","author":"B Li","year":"2004","unstructured":"Li, B., Liu, J.-G.: Epitaxial growth without slope selection: energetics, coarsening, and dynamic scaling. J. Nonlinear Sci. 14, 429\u2013451 (2004)","journal-title":"J. Nonlinear Sci."},{"key":"340_CR29","doi-asserted-by":"publisher","first-page":"1759","DOI":"10.1137\/050628143","volume":"44","author":"C Xu","year":"2006","unstructured":"Xu, C., Tang, T.: Stability analysis of large time-stepping methods for epitaxial growth models. SIAM J. Numer. Anal. 44, 1759\u20131779 (2006)","journal-title":"SIAM J. Numer. Anal."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-016-0340-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-016-0340-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-016-0340-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,4,26]],"date-time":"2017-04-26T09:33:07Z","timestamp":1493199187000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-016-0340-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1,2]]},"references-count":29,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,6]]}},"alternative-id":["340"],"URL":"https:\/\/doi.org\/10.1007\/s10915-016-0340-4","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1,2]]}}}