{"id":"https://openalex.org/W3144450689","doi":"https://doi.org/10.1007/s40314-021-01494-7","title":"Some algorithms for the mean curvature flow under topological changes","display_name":"Some algorithms for the mean curvature flow under topological changes","publication_year":2021,"publication_date":"2021-04-05","ids":{"openalex":"https://openalex.org/W3144450689","doi":"https://doi.org/10.1007/s40314-021-01494-7","mag":"3144450689"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-021-01494-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01494-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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/A5080631686","display_name":"Arthur Bousquet","orcid":null},"institutions":[{"id":"https://openalex.org/I162514690","display_name":"Lake Forest College","ror":"https://ror.org/04rmtzr09","country_code":"US","type":"education","lineage":["https://openalex.org/I162514690"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Arthur Bousquet","raw_affiliation_strings":["Department of Mathematics, Lake Forest College, Lake Forest, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lake Forest College, Lake Forest, IL, USA","institution_ids":["https://openalex.org/I162514690"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100416178","display_name":"Yukun Li","orcid":"https://orcid.org/0000-0002-8192-6475"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yukun Li","raw_affiliation_strings":["Department of Mathematics, University of Central Florida, Orlando, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Central Florida, Orlando, FL, USA","institution_ids":["https://openalex.org/I106165777"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023762356","display_name":"Guanqian Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guanqian Wang","raw_affiliation_strings":["Department of Mathematics, University of Central Florida, Orlando, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Central Florida, Orlando, FL, USA","institution_ids":["https://openalex.org/I106165777"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080631686"],"corresponding_institution_ids":["https://openalex.org/I162514690"],"apc_list":null,"apc_paid":null,"fwci":0.0796,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.32103573,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"40","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9939000010490417,"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":0.9939000010490417,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.980400025844574,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9747999906539917,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mean-curvature-flow","display_name":"Mean curvature flow","score":0.6322624087333679},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5874421000480652},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.520209014415741},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5015144348144531},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4660096764564514},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.43448472023010254},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40474408864974976},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4022144079208374},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21338915824890137},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17113035917282104}],"concepts":[{"id":"https://openalex.org/C127813850","wikidata":"https://www.wikidata.org/wiki/Q6803617","display_name":"Mean curvature flow","level":4,"score":0.6322624087333679},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5874421000480652},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.520209014415741},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5015144348144531},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4660096764564514},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.43448472023010254},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40474408864974976},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4022144079208374},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21338915824890137},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17113035917282104}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-021-01494-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01494-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8500000238418579,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W640428934","https://openalex.org/W1260736669","https://openalex.org/W1539347723","https://openalex.org/W1850510102","https://openalex.org/W1966584387","https://openalex.org/W1982199944","https://openalex.org/W1991113069","https://openalex.org/W2012063891","https://openalex.org/W2023111506","https://openalex.org/W2023248330","https://openalex.org/W2040531056","https://openalex.org/W2041968314","https://openalex.org/W2042628437","https://openalex.org/W2048835264","https://openalex.org/W2048876667","https://openalex.org/W2051669046","https://openalex.org/W2062245988","https://openalex.org/W2066385667","https://openalex.org/W2082052570","https://openalex.org/W2084131634","https://openalex.org/W2092509712","https://openalex.org/W2141613219","https://openalex.org/W2146359766","https://openalex.org/W2284864789","https://openalex.org/W2299838116","https://openalex.org/W2490900071","https://openalex.org/W2492650665","https://openalex.org/W2620223939","https://openalex.org/W2955304117","https://openalex.org/W2962900479","https://openalex.org/W2963287455","https://openalex.org/W2963334563","https://openalex.org/W2963689320","https://openalex.org/W2963738215","https://openalex.org/W2969772683","https://openalex.org/W2976551932","https://openalex.org/W2992540614","https://openalex.org/W3022122637","https://openalex.org/W3103961823","https://openalex.org/W4253937035"],"related_works":["https://openalex.org/W2963557430","https://openalex.org/W4283838230","https://openalex.org/W2951043176","https://openalex.org/W4301906044","https://openalex.org/W2801665477","https://openalex.org/W2189579014","https://openalex.org/W2247556016","https://openalex.org/W2904574684","https://openalex.org/W1937932856","https://openalex.org/W2039387897"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
