{"id":"https://openalex.org/W1968767963","doi":"https://doi.org/10.1007/s10915-010-9367-0","title":"Composite Laguerre-Legendre Spectral Method for\u00a0Fourth-Order Exterior Problems","display_name":"Composite Laguerre-Legendre Spectral Method for\u00a0Fourth-Order Exterior Problems","publication_year":2010,"publication_date":"2010-04-29","ids":{"openalex":"https://openalex.org/W1968767963","doi":"https://doi.org/10.1007/s10915-010-9367-0","mag":"1968767963"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-010-9367-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-010-9367-0","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/A5112630309","display_name":"Ben\u2010yu Guo","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"]},{"id":"https://openalex.org/I4210160248","display_name":"Shanghai Universities E-Institute for Chemical Biology","ror":"https://ror.org/03h7eyw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210160248"]},{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ben-Yu Guo","raw_affiliation_strings":["Computational Division of Computational Science of E-Institute of Shanghai Universities, Shanghai, China","Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China","Scientific Computing Key Laboratory of Shanghai Universities, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Computational Division of Computational Science of E-Institute of Shanghai Universities, Shanghai, China","institution_ids":["https://openalex.org/I4210160248"]},{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China","institution_ids":["https://openalex.org/I21945476"]},{"raw_affiliation_string":"Scientific Computing Key Laboratory of Shanghai Universities, Shanghai, China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101601592","display_name":"Tian\u2010jun Wang","orcid":"https://orcid.org/0000-0002-8366-400X"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tian-Jun Wang","raw_affiliation_strings":["Department of Mathematics and Physics, Henan University of Science and Technology, LuoYang, 471003, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, Henan University of Science and Technology, LuoYang, 471003, China","institution_ids":["https://openalex.org/I167383011"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112630309"],"corresponding_institution_ids":["https://openalex.org/I113940042","https://openalex.org/I21945476","https://openalex.org/I4210160248"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.8477,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.89666137,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"44","issue":"3","first_page":"255","last_page":"285"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9994999766349792,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9973999857902527,"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/legendre-polynomials","display_name":"Legendre polynomials","score":0.8738210201263428},{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.8721410036087036},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8304745554924011},{"id":"https://openalex.org/keywords/rectangle","display_name":"Rectangle","score":0.742103099822998},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6101939678192139},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5598903298377991},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.5264770984649658},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.5123809576034546},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5018675327301025},{"id":"https://openalex.org/keywords/composite-number","display_name":"Composite number","score":0.4696319103240967},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4541057050228119},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.42083433270454407},{"id":"https://openalex.org/keywords/legendre-function","display_name":"Legendre function","score":0.4115101397037506},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2320663332939148},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2141295075416565},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.07834747433662415}],"concepts":[{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.8738210201263428},{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.8721410036087036},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8304745554924011},{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.742103099822998},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6101939678192139},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5598903298377991},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.5264770984649658},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.5123809576034546},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5018675327301025},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.4696319103240967},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4541057050228119},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.42083433270454407},{"id":"https://openalex.org/C153262748","wikidata":"https://www.wikidata.org/wiki/Q17098449","display_name":"Legendre function","level":3,"score":0.4115101397037506},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2320663332939148},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2141295075416565},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.07834747433662415},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-010-9367-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-010-9367-0","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5699999928474426}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1549252824","https://openalex.org/W1971462346","https://openalex.org/W1973549424","https://openalex.org/W1975666830","https://openalex.org/W1985849492","https://openalex.org/W2004604097","https://openalex.org/W2007254031","https://openalex.org/W2013282326","https://openalex.org/W2021084174","https://openalex.org/W2026813480","https://openalex.org/W2028522134","https://openalex.org/W2031567600","https://openalex.org/W2036854337","https://openalex.org/W2065522541","https://openalex.org/W2072309170","https://openalex.org/W2074630359","https://openalex.org/W2075173897","https://openalex.org/W2082849992","https://openalex.org/W2133964250","https://openalex.org/W2259868474","https://openalex.org/W3021821037","https://openalex.org/W4244929291","https://openalex.org/W4247375400","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2107577789","https://openalex.org/W2022839532","https://openalex.org/W35358014","https://openalex.org/W2354801575","https://openalex.org/W1989326461","https://openalex.org/W2080945738","https://openalex.org/W2042230534","https://openalex.org/W1968767963","https://openalex.org/W4321384249","https://openalex.org/W2004984712"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}