{"id":"https://openalex.org/W2021595223","doi":"https://doi.org/10.1137/s0036139903430835","title":"A Maximum Principle for Beltrami Color Flow","display_name":"A Maximum Principle for Beltrami Color Flow","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2021595223","doi":"https://doi.org/10.1137/s0036139903430835","mag":"2021595223"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139903430835","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139903430835","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on 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/A5030492352","display_name":"Lorina Dascal","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lorina Dascal","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5030076264","display_name":"Nir Sochen","orcid":"https://orcid.org/0000-0001-7805-5560"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nir A. Sochen","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030492352"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8251,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72833913,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"65","issue":"5","first_page":"1615","last_page":"1632"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9944999814033508,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9944999814033508,"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"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9864000082015991,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/maximum-principle","display_name":"Maximum principle","score":0.7829820513725281},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7484865784645081},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6577031016349792},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.6471092700958252},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5155291557312012},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4704120457172394},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4199501574039459},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36986681818962097},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33116263151168823},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.17282989621162415},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1458127796649933},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1445823311805725},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11313000321388245},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.057897090911865234}],"concepts":[{"id":"https://openalex.org/C31010330","wikidata":"https://www.wikidata.org/wiki/Q1914255","display_name":"Maximum principle","level":3,"score":0.7829820513725281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7484865784645081},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6577031016349792},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.6471092700958252},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5155291557312012},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4704120457172394},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4199501574039459},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36986681818962097},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33116263151168823},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.17282989621162415},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1458127796649933},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1445823311805725},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11313000321388245},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.057897090911865234},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139903430835","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139903430835","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.46000000834465027,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W597535747","https://openalex.org/W1480546554","https://openalex.org/W1571699948","https://openalex.org/W1753871439","https://openalex.org/W1966786995","https://openalex.org/W1983415051","https://openalex.org/W2022735534","https://openalex.org/W2028402761","https://openalex.org/W2046904024","https://openalex.org/W2065164181","https://openalex.org/W2066637591","https://openalex.org/W2103559027","https://openalex.org/W2104404402","https://openalex.org/W2147469781","https://openalex.org/W2150134853","https://openalex.org/W2795744704","https://openalex.org/W3011612142","https://openalex.org/W3211330693"],"related_works":["https://openalex.org/W2771042763","https://openalex.org/W4211240924","https://openalex.org/W2031281152","https://openalex.org/W4302321938","https://openalex.org/W2031042701","https://openalex.org/W4292923857","https://openalex.org/W2155570364","https://openalex.org/W2078009219","https://openalex.org/W86235861","https://openalex.org/W1577749127"],"abstract_inverted_index":{"We":[0,25],"study,":[1],"in":[2,27,42,64],"this":[3,35],"work,":[4],"the":[5,9,14,17,28,31,39,43,46,50,54,66],"maximum":[6,40,67],"principle":[7,41],"for":[8],"Beltrami":[10],"color":[11],"flow":[12],"and":[13,37,45],"stability":[15,76],"of":[16,34],"flow's":[18],"numerical":[19,81],"approximation":[20],"by":[21,79],"finite":[22],"difference":[23],"schemes.":[24],"discuss,":[26],"continuous":[29],"case,":[30,52],"theoretical":[32,75],"properties":[33],"system":[36],"prove":[38],"strong":[44],"weak":[47],"formulations.":[48],"In":[49],"discrete":[51],"all":[53],"second":[55],"order":[56],"explicit":[57],"schemes":[58,71],"that":[59],"are":[60],"currently":[61],"used":[62],"violate,":[63],"general,":[65],"principle.":[68],"For":[69],"these":[70],"we":[72],"give":[73],"a":[74],"proof,":[77],"accompanied":[78],"several":[80],"examples.":[82]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}