{"id":"https://openalex.org/W2094663607","doi":"https://doi.org/10.1090/s0025-5718-10-02329-x","title":"Spectral method on quadrilaterals","display_name":"Spectral method on quadrilaterals","publication_year":2010,"publication_date":"2010-04-08","ids":{"openalex":"https://openalex.org/W2094663607","doi":"https://doi.org/10.1090/s0025-5718-10-02329-x","mag":"2094663607"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-10-02329-x","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-10-02329-x","pdf_url":"https://www.ams.org/mcom/2010-79-272/S0025-5718-10-02329-X/S0025-5718-10-02329-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.ams.org/mcom/2010-79-272/S0025-5718-10-02329-X/S0025-5718-10-02329-X.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111820508","display_name":"Guo Ben\u2010yu","orcid":null},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guo Ben-yu","raw_affiliation_strings":["Department of Mathematics, Shanghai Normal University, 200234, Shanghai, People\u00e2\u0080\u0099s Republic of China","Department of Mathematics, Shanghai Normal University, 200234, Shanghai, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, 200234, Shanghai, People\u00e2\u0080\u0099s Republic of China","institution_ids":["https://openalex.org/I21945476"]},{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, 200234, Shanghai, People\u2019s Republic of China","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jia Hong-li","orcid":null},"institutions":[{"id":"https://openalex.org/I181326427","display_name":"Donghua University","ror":"https://ror.org/035psfh38","country_code":"CN","type":"education","lineage":["https://openalex.org/I181326427"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jia Hong-li","raw_affiliation_strings":["Department of Mathematics, Donghua University, 200065, Shanghai, People\u00e2\u0080\u0099s Republic of China","Department of Mathematics, Donghua University, 200065, Shanghai, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Donghua University, 200065, Shanghai, People\u00e2\u0080\u0099s Republic of China","institution_ids":["https://openalex.org/I181326427"]},{"raw_affiliation_string":"Department of Mathematics, Donghua University, 200065, Shanghai, People\u2019s Republic of China","institution_ids":["https://openalex.org/I181326427"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.4426,"has_fulltext":true,"cited_by_count":31,"citation_normalized_percentile":{"value":0.92727474,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"79","issue":"272","first_page":"2237","last_page":"2264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"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/T10514","display_name":"Numerical methods in engineering","score":0.9993000030517578,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8622035384178162},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.839257538318634},{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.8137391805648804},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.6372285485267639},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.6014955043792725},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.5123935341835022},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.505824089050293},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46887636184692383},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.44403403997421265},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41377022862434387},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2382710576057434},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1574937403202057},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.12044587731361389}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8622035384178162},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.839257538318634},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.8137391805648804},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.6372285485267639},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.6014955043792725},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.5123935341835022},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.505824089050293},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46887636184692383},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.44403403997421265},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41377022862434387},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2382710576057434},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1574937403202057},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.12044587731361389},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/s0025-5718-10-02329-x","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-10-02329-x","pdf_url":"https://www.ams.org/mcom/2010-79-272/S0025-5718-10-02329-X/S0025-5718-10-02329-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.206.316","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.206.316","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/journals/mcom/0000-000-00/S0025-5718-10-02329-X/S0025-5718-10-02329-X.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-10-02329-x","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-10-02329-x","pdf_url":"https://www.ams.org/mcom/2010-79-272/S0025-5718-10-02329-X/S0025-5718-10-02329-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2259390943","display_name":null,"funder_award_id":"E03004","funder_id":"https://openalex.org/F4320335766","funder_display_name":"Shanghai Leading Academic Discipline Project"},{"id":"https://openalex.org/G3054894371","display_name":null,"funder_award_id":"E03004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3099179793","display_name":null,"funder_award_id":"075105118","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G351123532","display_name":null,"funder_award_id":"075105118","funder_id":"https://openalex.org/F4320335766","funder_display_name":"Shanghai Leading Academic Discipline Project"},{"id":"https://openalex.org/G519157268","display_name":null,"funder_award_id":"075105118","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G5363042193","display_name":null,"funder_award_id":"S30405","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6291973456","display_name":null,"funder_award_id":"S30405","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G8185224513","display_name":null,"funder_award_id":"S30405","funder_id":"https://openalex.org/F4320335766","funder_display_name":"Shanghai Leading Academic Discipline Project"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321885","display_name":"Science and Technology Commission of Shanghai Municipality","ror":"https://ror.org/03kt66j61"},{"id":"https://openalex.org/F4320335766","display_name":"Shanghai Leading Academic Discipline Project","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2094663607.pdf","grobid_xml":"https://content.openalex.org/works/W2094663607.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W321261355","https://openalex.org/W340117302","https://openalex.org/W837422817","https://openalex.org/W1503836418","https://openalex.org/W1805381866","https://openalex.org/W1912930600","https://openalex.org/W1971462346","https://openalex.org/W1983731610","https://openalex.org/W1987023524","https://openalex.org/W2028522134","https://openalex.org/W2036854337","https://openalex.org/W2044355921","https://openalex.org/W2075173897","https://openalex.org/W2133964250","https://openalex.org/W2146686865","https://openalex.org/W2155759143","https://openalex.org/W2479395228","https://openalex.org/W3021821037","https://openalex.org/W3150423993","https://openalex.org/W4211228115","https://openalex.org/W4239114676","https://openalex.org/W4247375400","https://openalex.org/W4254461743","https://openalex.org/W4300846967"],"related_works":["https://openalex.org/W3022026097","https://openalex.org/W4301495576","https://openalex.org/W2030874730","https://openalex.org/W1978484384","https://openalex.org/W1992683865","https://openalex.org/W2365959816","https://openalex.org/W3048823941","https://openalex.org/W1976312688","https://openalex.org/W3024058709","https://openalex.org/W1550587116"],"abstract_inverted_index":{"In":[0],"this":[1,93],"paper,":[2],"we":[3,50],"investigate":[4,77],"the":[5,26,36,73,78],"spectral":[6,37,52,61,79,87],"method":[7,38,80],"on":[8,25,44,81],"quadrilaterals.":[9,45],"We":[10,75],"introduce":[11],"an":[12],"orthogonal":[13,28],"family":[14],"of":[15,48,92],"functions":[16],"induced":[17],"by":[18],"Legendre":[19],"polynomials,":[20],"and":[21,58],"establish":[22],"some":[23],"results":[24,31,69,91],"corresponding":[27],"approximation.":[29],"These":[30],"play":[32],"important":[33],"roles":[34],"in":[35,63],"for":[39,54],"partial":[40],"differential":[41],"equations":[42],"defined":[43],"As":[46],"examples":[47],"applications,":[49],"provide":[51],"schemes":[53],"two":[55],"model":[56],"problems":[57],"prove":[59],"their":[60],"accuracy":[62],"Jacobi":[64],"weighted":[65],"Sobolev":[66],"space.":[67],"Numerical":[68],"coincide":[70],"well":[71],"with":[72],"analysis.":[74],"also":[76,96],"convex":[82],"polygons":[83],"whose":[84],"solutions":[85],"possess":[86],"accuracy.":[88],"The":[89],"approximation":[90],"paper":[94],"are":[95],"applicable":[97],"to":[98],"other":[99],"problems.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}