{"id":"https://openalex.org/W7171693348","doi":"https://doi.org/10.1016/j.camwa.2026.07.017","title":"Hyperbolic mean curvature flow computed by physics-informed neural networks","display_name":"Hyperbolic mean curvature flow computed by physics-informed neural networks","publication_year":2026,"publication_date":"2026-07-29","ids":{"openalex":"https://openalex.org/W7171693348","doi":"https://doi.org/10.1016/j.camwa.2026.07.017"},"language":"en","primary_location":{"id":"doi:10.1016/j.camwa.2026.07.017","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.camwa.2026.07.017","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Mathematics with Applications","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/A5123343343","display_name":"Shuangshuang Duan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shuangshuang Duan","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0000-9670-785X","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5143877024","display_name":"Chunlei He","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chunlei He","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028421196","display_name":"Shoujun Huang","orcid":"https://orcid.org/0000-0002-4385-6023"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shoujun Huang","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-4385-6023","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5072184948","display_name":"Dexing Kong","orcid":"https://orcid.org/0000-0001-9339-8086"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dexing Kong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3480,"currency":"USD","value_usd":3480},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.90608105,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"219","issue":null,"first_page":"250","last_page":"273"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9564999938011169,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9564999938011169,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.010400000028312206,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.0027000000700354576,"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/mean-curvature-flow","display_name":"Mean curvature flow","score":0.5375999808311462},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5303999781608582},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5026999711990356},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4767000079154968},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.36959999799728394}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.755299985408783},{"id":"https://openalex.org/C127813850","wikidata":"https://www.wikidata.org/wiki/Q6803617","display_name":"Mean curvature flow","level":4,"score":0.5375999808311462},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5303999781608582},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5026999711990356},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48019999265670776},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4767000079154968},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38850000500679016},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.36959999799728394},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2563000023365021},{"id":"https://openalex.org/C32209215","wikidata":"https://www.wikidata.org/wiki/Q5535483","display_name":"Geometric flow","level":3,"score":0.25609999895095825},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.250900000333786}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.camwa.2026.07.017","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.camwa.2026.07.017","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Mathematics with Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322819","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W284378916","https://openalex.org/W1559552747","https://openalex.org/W1932771679","https://openalex.org/W1992680517","https://openalex.org/W2008398007","https://openalex.org/W2078300181","https://openalex.org/W2094246409","https://openalex.org/W2094415838","https://openalex.org/W2113838539","https://openalex.org/W2115218270","https://openalex.org/W2158985775","https://openalex.org/W2609079954","https://openalex.org/W2749028154","https://openalex.org/W2760972773","https://openalex.org/W2899283552","https://openalex.org/W2963429298","https://openalex.org/W2963589548","https://openalex.org/W2973886134","https://openalex.org/W2997165591","https://openalex.org/W2998366519","https://openalex.org/W3015865829","https://openalex.org/W3023243091","https://openalex.org/W3035768640","https://openalex.org/W3115283966","https://openalex.org/W3119602513","https://openalex.org/W3126393581","https://openalex.org/W3133608513","https://openalex.org/W3171202467","https://openalex.org/W3185095713","https://openalex.org/W4247680473","https://openalex.org/W4377101680","https://openalex.org/W4384928116","https://openalex.org/W4387321532","https://openalex.org/W4392697352","https://openalex.org/W4392982945","https://openalex.org/W4398238760","https://openalex.org/W4401707330","https://openalex.org/W4407264263"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2026-07-30T00:00:00"}
