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We also provide some numerical simulations.<\/jats:p>","DOI":"10.1137\/060678282","type":"journal-article","created":{"date-parts":[[2008,7,10]],"date-time":"2008-07-10T14:11:44Z","timestamp":1215699104000},"page":"2715-2741","source":"Crossref","is-referenced-by-count":4,"title":["An Error Estimate for a New Scheme for Mean Curvature Motion"],"prefix":"10.1137","volume":"46","author":[{"given":"N.","family":"Forcadel","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2008,7,2]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2006.03.002"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-006-0030-5"},{"key":"R3","first-page":"371","volume":"85","author":"Alvarez O.","year":"2006","journal-title":"Arch. Ration. 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Application to dislocations dynamics\n                      , J. Eur. Math. Soc., to appear."},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.4171\/IFB\/15"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1051\/m2an:1999141"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.4171\/IFB\/24"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492904000224"},{"key":"R18","doi-asserted-by":"crossref","unstructured":"C. M. Elliott,\n                      Approximation of curvature dependent interface motion\n                      , in The State of the Art in Numerical Analysis (York, 1996), Inst. Math. Appl. Conf. Ser. New Ser. 63, Oxford University Press, New York, 1997, pp. 407\u2013440.","DOI":"10.1093\/oso\/9780198500148.003.0016"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1512\/iumj.1993.42.42024"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.4310\/jdg\/1214446559"},{"key":"R21","unstructured":"H. Ishii,\n                      A generalization of the Bence, Merriman and Osher algorithm for motion by mean curvature\n                      , in Curvature Flows and Related Topics (Levico, 1994), GAKUTO Internat. Ser. Math. Sci. Appl. 5, Gakk\u014dtosho, Tokyo, 1995, pp. 111\u2013127."},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.2969\/jmsj\/05120267"},{"key":"R23","first-page":"245","volume":"9","author":"Krylov N. V.","year":"1997","journal-title":"Algebra i Analiz","ISSN":"https:\/\/id.crossref.org\/issn\/0234-0852","issn-type":"print"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1007\/s004400050264"},{"key":"R25","unstructured":"B. Merriman, J. Bence, and S. Osher,\n                      Diffusion generated motion by mean curvature\n                      , in Proceedings of the Computational Crystal Growers Workshop, J. 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