{"id":"https://openalex.org/W2770957088","doi":"https://doi.org/10.1007/s11424-017-6159-8","title":"Error Formulas for Lagrange Projectors Determined by Cartesian Sets","display_name":"Error Formulas for Lagrange Projectors Determined by Cartesian Sets","publication_year":2017,"publication_date":"2017-11-17","ids":{"openalex":"https://openalex.org/W2770957088","doi":"https://doi.org/10.1007/s11424-017-6159-8","mag":"2770957088"},"language":"en","primary_location":{"id":"doi:10.1007/s11424-017-6159-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-017-6159-8","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"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 Systems Science and Complexity","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/A5100356599","display_name":"Zhe Li","orcid":"https://orcid.org/0000-0001-5424-2695"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I106645853","display_name":"Changchun University of Science and Technology","ror":"https://ror.org/007mntk44","country_code":"CN","type":"education","lineage":["https://openalex.org/I106645853"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhe Li","raw_affiliation_strings":["Key Laboratory of Symbolic Computation and Knowledge Engineering, Jilin University, Changchun, 130012, China","School of Science, Changchun University of Science and Technology, Changchun, 130022, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Symbolic Computation and Knowledge Engineering, Jilin University, Changchun, 130012, China","institution_ids":["https://openalex.org/I194450716"]},{"raw_affiliation_string":"School of Science, Changchun University of Science and Technology, Changchun, 130022, China","institution_ids":["https://openalex.org/I106645853"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080600704","display_name":"Shugong Zhang","orcid":"https://orcid.org/0000-0002-3819-5961"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shugong Zhang","raw_affiliation_strings":["School of Mathematics, Key Laboratory of Symbolic Computation and Knowledge Engineering (Ministry of Education), Jilin University, Changchun, 130012, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Key Laboratory of Symbolic Computation and Knowledge Engineering (Ministry of Education), Jilin University, Changchun, 130012, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103856043","display_name":"Tian Dong","orcid":null},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tian Dong","raw_affiliation_strings":["School of Mathematics, Key Laboratory of Symbolic Computation and Knowledge Engineering (Ministry of Education), Jilin University, Changchun, 130012, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Key Laboratory of Symbolic Computation and Knowledge Engineering (Ministry of Education), Jilin University, Changchun, 130012, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079322644","display_name":"Yihe Gong","orcid":null},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I179060312","display_name":"Northeast Electric Power University","ror":"https://ror.org/00zqaxa34","country_code":"CN","type":"education","lineage":["https://openalex.org/I179060312"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yihe Gong","raw_affiliation_strings":["Northeast Electric Power University, Jilin, 132012, China","School of Mathematics, Jilin University, Changchun, 130012, China"],"affiliations":[{"raw_affiliation_string":"Northeast Electric Power University, Jilin, 132012, China","institution_ids":["https://openalex.org/I179060312"]},{"raw_affiliation_string":"School of Mathematics, Jilin University, Changchun, 130012, China","institution_ids":["https://openalex.org/I194450716"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100356599"],"corresponding_institution_ids":["https://openalex.org/I106645853","https://openalex.org/I194450716"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.2463,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.57422948,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"31","issue":"4","first_page":"1090","last_page":"1102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9933000206947327,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9915000200271606,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.7565822601318359},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.6719512939453125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5396762490272522},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.43541547656059265},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3658154606819153},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.34646227955818176},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3455091118812561},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3375956118106842},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33120423555374146},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3042483329772949},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14453226327896118}],"concepts":[{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.7565822601318359},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.6719512939453125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5396762490272522},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.43541547656059265},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3658154606819153},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.34646227955818176},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3455091118812561},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3375956118106842},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33120423555374146},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3042483329772949},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14453226327896118},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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:10.1007/s11424-017-6159-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-017-6159-8","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"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 Systems Science and Complexity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W2629360","https://openalex.org/W71485254","https://openalex.org/W116121865","https://openalex.org/W202738479","https://openalex.org/W576702438","https://openalex.org/W1561837382","https://openalex.org/W1976243305","https://openalex.org/W1999119976","https://openalex.org/W2008278996","https://openalex.org/W2010465428","https://openalex.org/W2028981130","https://openalex.org/W2038773382","https://openalex.org/W2045932400","https://openalex.org/W2056493170","https://openalex.org/W2075498078","https://openalex.org/W2077768738","https://openalex.org/W2094319117","https://openalex.org/W2123585176","https://openalex.org/W2135359007","https://openalex.org/W2136650537","https://openalex.org/W2142863015","https://openalex.org/W2264065105","https://openalex.org/W2398942003","https://openalex.org/W2401838516","https://openalex.org/W2507581760","https://openalex.org/W2963184464","https://openalex.org/W4236478587"],"related_works":["https://openalex.org/W2352472571","https://openalex.org/W1020620338","https://openalex.org/W1996592923","https://openalex.org/W2039329986","https://openalex.org/W2486990811","https://openalex.org/W2355290017","https://openalex.org/W1036286070","https://openalex.org/W4200286425","https://openalex.org/W2095746132","https://openalex.org/W3121012399"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
