{"id":"https://openalex.org/W2070308127","doi":"https://doi.org/10.1137/s0036139903438545","title":"Constructing Multiply Connected Quadrature Domains","display_name":"Constructing Multiply Connected Quadrature Domains","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2070308127","doi":"https://doi.org/10.1137/s0036139903438545","mag":"2070308127"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139903438545","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139903438545","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/A5076056301","display_name":"Darren Crowdy","orcid":"https://orcid.org/0000-0002-7162-0181"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Darren Crowdy","raw_affiliation_strings":["Imperial College London,#TAB#"],"affiliations":[{"raw_affiliation_string":"Imperial College London,#TAB#","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012453438","display_name":"J. S. Marshall","orcid":"https://orcid.org/0000-0002-5293-4484"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jonathan Marshall","raw_affiliation_strings":["Imperial College London,#TAB#"],"affiliations":[{"raw_affiliation_string":"Imperial College London,#TAB#","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076056301"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":6.563,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.97058982,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"64","issue":"4","first_page":"1334","last_page":"1359"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991000294685364,"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/T11558","display_name":"Composite Material Mechanics","score":0.994700014591217,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.7945048809051514},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.7216035723686218},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6065307855606079},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5741944909095764},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5094431042671204},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3868996500968933},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37865158915519714},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17318233847618103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1462959349155426},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.10228070616722107}],"concepts":[{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.7945048809051514},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.7216035723686218},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6065307855606079},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5741944909095764},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5094431042671204},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3868996500968933},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37865158915519714},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17318233847618103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1462959349155426},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.10228070616722107},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0036139903438545","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139903438545","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.95.5289","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.95.5289","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ma.ic.ac.uk/~dgcrowdy/_publications/PubFiles/Paper1.pdf","raw_type":"text"},{"id":"pmh:oai:bibcyt.ucla.edu.ve:T070300013504/14","is_oa":false,"landing_page_url":"http://bibcyt.ucla.edu.ve/cgi-win/be_alex.exe?Acceso=T070300013504/14&Nombrebd=Bciucla","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W55829703","https://openalex.org/W84515655","https://openalex.org/W629360272","https://openalex.org/W1576071247","https://openalex.org/W1590419096","https://openalex.org/W1608781217","https://openalex.org/W1999124534","https://openalex.org/W2038632320","https://openalex.org/W2040345644","https://openalex.org/W2040676785","https://openalex.org/W2046557699","https://openalex.org/W2047959295","https://openalex.org/W2048408585","https://openalex.org/W2057819702","https://openalex.org/W2062797762","https://openalex.org/W2102128834","https://openalex.org/W2119675421","https://openalex.org/W2125023945","https://openalex.org/W2134210400","https://openalex.org/W2140982761","https://openalex.org/W2151702432","https://openalex.org/W2168021114","https://openalex.org/W2171294641","https://openalex.org/W2519782745","https://openalex.org/W3147526524","https://openalex.org/W4230623248","https://openalex.org/W4240241239","https://openalex.org/W4249460882"],"related_works":["https://openalex.org/W4311883357","https://openalex.org/W94411513","https://openalex.org/W2377770720","https://openalex.org/W2113626999","https://openalex.org/W160889949","https://openalex.org/W2364696089","https://openalex.org/W309910862","https://openalex.org/W4210637712","https://openalex.org/W2369004811","https://openalex.org/W2015716952"],"abstract_inverted_index":{"Multiply":[0],"connected":[1,40],"bounded":[2],"quadrature":[3,12,41],"domains,":[4],"with":[5,75],"finite":[6],"connectivity,":[7],"are":[8,18],"reconstructed":[9],"from":[10],"their":[11],"data":[13],"using":[14],"conformal":[15,34],"mappings":[16],"that":[17],"ratios":[19],"of":[20,22,32,51,56,65,68],"products":[21],"Schottky--Klein":[23],"prime":[24],"functions.":[25],"This":[26],"method":[27,58],"provides":[28],"the":[29,33,45,57,62],"natural":[30],"generalization":[31],"maps":[35],"to":[36],"simply":[37],"and":[38,97],"doubly":[39],"domains":[42],"constructed":[43],"by":[44,61,73,81],"first":[46],"author":[47],"in":[48],"a":[49,66],"number":[50],"physical":[52],"applications.":[53],"The":[54],"efficacy":[55],"is":[59],"demonstrated":[60],"explicit":[63],"construction":[64],"range":[67],"examples":[69],"as":[70,72],"well":[71],"comparison":[74],"alternative":[76],"constructive":[77],"methods":[78],"recently":[79],"introduced":[80],"Crowdy":[82],"[R.":[83],"Soc.":[84],"Lond.":[85],"Proc.":[86],"Ser.":[87],"A":[88],"Math.":[89],"Phys.":[90],"Eng.":[91],"Sci.,":[92],"457":[93],"(2001),":[94,104],"pp.":[95,105],"2337--2359]":[96],"Richardson":[98],"[European":[99],"J.":[100],"Appl.":[101],"Math.,":[102],"12":[103],"571--599].":[106]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
