{"id":"https://openalex.org/W1562896382","doi":"https://doi.org/10.1023/a:1025399807998","title":"A Level Set Approach for the Numerical Simulation of Dendritic Growth","display_name":"A Level Set Approach for the Numerical Simulation of Dendritic Growth","publication_year":2003,"publication_date":"2003-09-19","ids":{"openalex":"https://openalex.org/W1562896382","doi":"https://doi.org/10.1023/a:1025399807998","mag":"1562896382"},"language":"en","primary_location":{"id":"doi:10.1023/a:1025399807998","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1025399807998","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081112761","display_name":"Fr\u00e9d\u00e9ric Gibou","orcid":"https://orcid.org/0000-0001-7022-5262"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Fr\u00e9d\u00e9ric Gibou","raw_affiliation_strings":["Mathematics Department & Computer Science Department, Stanford University, Stanford, California, 94305","Mathematics Department & Computer Science Department, Stanford University, Stanford, California 94305. fgibou@math.Stanford.edu"],"affiliations":[{"raw_affiliation_string":"Mathematics Department & Computer Science Department, Stanford University, Stanford, California, 94305","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Mathematics Department & Computer Science Department, Stanford University, Stanford, California 94305. fgibou@math.Stanford.edu","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076561653","display_name":"Ronald Fedkiw","orcid":"https://orcid.org/0009-0008-6853-2499"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ronald Fedkiw","raw_affiliation_strings":["Computer Science Department, Stanford University, Stanford, California, 94305","Computer Science Department Stanford University Stanford, California 94305"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Stanford University, Stanford, California, 94305","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Computer Science Department Stanford University Stanford, California 94305","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064328044","display_name":"Russel E. Caflisch","orcid":"https://orcid.org/0000-0003-3121-1188"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Russel Caflisch","raw_affiliation_strings":["Mathematics Department, University of California, Los Angeles, California, 90095-1555","Mathematics Department, University of California, Los Angeles, California 90095-1555#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of California, Los Angeles, California, 90095-1555","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Mathematics Department, University of California, Los Angeles, California 90095-1555#TAB#","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002037883","display_name":"Stanley Osher","orcid":"https://orcid.org/0000-0002-7900-4658"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stanley Osher","raw_affiliation_strings":["Mathematics Department, University of California, Los Angeles, California, 90095-1555","Mathematics Department, University of California, Los Angeles, California 90095-1555#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of California, Los Angeles, California, 90095-1555","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Mathematics Department, University of California, Los Angeles, California 90095-1555#TAB#","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081112761"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":7.5247,"has_fulltext":false,"cited_by_count":179,"citation_normalized_percentile":{"value":0.9789194,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"19","issue":"1-3","first_page":"183","last_page":"199"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11201","display_name":"Metallurgy and Material Forming","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.79134202003479},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7427228689193726},{"id":"https://openalex.org/keywords/dendrite","display_name":"Dendrite (mathematics)","score":0.6093854904174805},{"id":"https://openalex.org/keywords/level-set-method","display_name":"Level set method","score":0.526687741279602},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.5077837109565735},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.498246431350708},{"id":"https://openalex.org/keywords/level-set","display_name":"Level set (data structures)","score":0.476900577545166},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41000956296920776},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.34091857075691223},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1143147349357605},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.07305383682250977},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06868183612823486}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.79134202003479},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7427228689193726},{"id":"https://openalex.org/C84248122","wikidata":"https://www.wikidata.org/wiki/Q5256671","display_name":"Dendrite (mathematics)","level":2,"score":0.6093854904174805},{"id":"https://openalex.org/C125269122","wikidata":"https://www.wikidata.org/wiki/Q1751397","display_name":"Level set method","level":4,"score":0.526687741279602},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.5077837109565735},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.498246431350708},{"id":"https://openalex.org/C153008295","wikidata":"https://www.wikidata.org/wiki/Q6535093","display_name":"Level set (data structures)","level":2,"score":0.476900577545166},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41000956296920776},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34091857075691223},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1143147349357605},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.07305383682250977},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06868183612823486},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1025399807998","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1025399807998","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1506342804","https://openalex.org/W1968617583","https://openalex.org/W1986750656","https://openalex.org/W1991113069","https://openalex.org/W1994875376","https://openalex.org/W2005316292","https://openalex.org/W2009181446","https://openalex.org/W2013771528","https://openalex.org/W2029495360","https://openalex.org/W2039150507","https://openalex.org/W2042226984","https://openalex.org/W2045545335","https://openalex.org/W2045618004","https://openalex.org/W2045849310","https://openalex.org/W2054320306","https://openalex.org/W2056528953","https://openalex.org/W2060003021","https://openalex.org/W2068404126","https://openalex.org/W2073589858","https://openalex.org/W2074865604","https://openalex.org/W2076863382","https://openalex.org/W2079578802","https://openalex.org/W2080050826","https://openalex.org/W2083279088","https://openalex.org/W2084053156","https://openalex.org/W2093834886","https://openalex.org/W2132363464","https://openalex.org/W2170090616","https://openalex.org/W2245672305","https://openalex.org/W2798909945","https://openalex.org/W2998376235","https://openalex.org/W6661947225"],"related_works":["https://openalex.org/W2367921179","https://openalex.org/W3080476861","https://openalex.org/W657288383","https://openalex.org/W2098360446","https://openalex.org/W1980083116","https://openalex.org/W2233054077","https://openalex.org/W1966783661","https://openalex.org/W2122184585","https://openalex.org/W383961223","https://openalex.org/W1979393293"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":11}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2016-06-24T00:00:00"}
