{"id":"https://openalex.org/W1993071996","doi":"https://doi.org/10.1007/s10444-008-9071-x","title":"On convergent numerical algorithms for unsymmetric collocation","display_name":"On convergent numerical algorithms for unsymmetric collocation","publication_year":2008,"publication_date":"2008-05-06","ids":{"openalex":"https://openalex.org/W1993071996","doi":"https://doi.org/10.1007/s10444-008-9071-x","mag":"1993071996"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-008-9071-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-008-9071-x","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational 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/A5033768238","display_name":"Cheng-Feng Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I142974352","display_name":"National Sun Yat-sen University","ror":"https://ror.org/00mjawt10","country_code":"TW","type":"education","lineage":["https://openalex.org/I142974352"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Cheng-Feng Lee","raw_affiliation_strings":["Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan","National Sun Yat\u2010sen University"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan","institution_ids":["https://openalex.org/I142974352"]},{"raw_affiliation_string":"National Sun Yat\u2010sen University","institution_ids":["https://openalex.org/I142974352"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047350288","display_name":"Leevan Ling","orcid":"https://orcid.org/0000-0003-1779-0101"},"institutions":[{"id":"https://openalex.org/I141568987","display_name":"Hong Kong Baptist University","ror":"https://ror.org/0145fw131","country_code":"HK","type":"education","lineage":["https://openalex.org/I141568987"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Leevan Ling","raw_affiliation_strings":["Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong","Hong Kong Baptist University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong","institution_ids":["https://openalex.org/I141568987"]},{"raw_affiliation_string":"Hong Kong Baptist University","institution_ids":["https://openalex.org/I141568987"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085097073","display_name":"Robert Schaback","orcid":"https://orcid.org/0000-0001-7828-4355"},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Robert Schaback","raw_affiliation_strings":["Institut f\u00fcr Numerische und Angewandte Mathematik, Georg-August-Universit\u00e4t G\u00f6ttingen, Lotzestra\u00dfe 16-18, 37083, G\u00f6ttingen, Germany","Georg-August Universit\u00e4t G\u00f6ttingen"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Numerische und Angewandte Mathematik, Georg-August-Universit\u00e4t G\u00f6ttingen, Lotzestra\u00dfe 16-18, 37083, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]},{"raw_affiliation_string":"Georg-August Universit\u00e4t G\u00f6ttingen","institution_ids":["https://openalex.org/I74656192"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033768238"],"corresponding_institution_ids":["https://openalex.org/I142974352"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":13.3094,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.99158713,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"30","issue":"4","first_page":"339","last_page":"354"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9987000226974487,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9962000250816345,"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/collocation","display_name":"Collocation (remote sensing)","score":0.6645249724388123},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.663235604763031},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6313976645469666},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6202685832977295},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5772905945777893},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.5448300242424011},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5003509521484375},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.4626515805721283},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.421977698802948},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.41162610054016113},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3864685297012329},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27836257219314575},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10372588038444519}],"concepts":[{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.6645249724388123},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.663235604763031},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6313976645469666},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6202685832977295},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5772905945777893},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.5448300242424011},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5003509521484375},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.4626515805721283},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.421977698802948},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.41162610054016113},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3864685297012329},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27836257219314575},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10372588038444519},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10444-008-9071-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-008-9071-x","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkbu.edu.hk:math_ja-1009","is_oa":false,"landing_page_url":"https://repository.hkbu.edu.hk/math_ja/11","pdf_url":null,"source":{"id":"https://openalex.org/S4377196872","display_name":"HKBU Institutional Repository (Hong Kong Baptist University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I141568987","host_organization_name":"Hong Kong Baptist University","host_organization_lineage":["https://openalex.org/I141568987"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Mathematics Journal Articles","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W42253513","https://openalex.org/W112187595","https://openalex.org/W1966022222","https://openalex.org/W1966421357","https://openalex.org/W1968228366","https://openalex.org/W1972998910","https://openalex.org/W1974322848","https://openalex.org/W1974725223","https://openalex.org/W1974937117","https://openalex.org/W1978872954","https://openalex.org/W1988091870","https://openalex.org/W1989242344","https://openalex.org/W1996488362","https://openalex.org/W1999025826","https://openalex.org/W2001442636","https://openalex.org/W2005211046","https://openalex.org/W2010223115","https://openalex.org/W2014377581","https://openalex.org/W2015958183","https://openalex.org/W2023542601","https://openalex.org/W2035356959","https://openalex.org/W2035998691","https://openalex.org/W2038688690","https://openalex.org/W2045574335","https://openalex.org/W2046411375","https://openalex.org/W2047877145","https://openalex.org/W2052845102","https://openalex.org/W2053567007","https://openalex.org/W2055528045","https://openalex.org/W2056649561","https://openalex.org/W2070525652","https://openalex.org/W2088822475","https://openalex.org/W2093877498","https://openalex.org/W2096264941","https://openalex.org/W2103935564","https://openalex.org/W2108038293","https://openalex.org/W2170668759","https://openalex.org/W2767051094","https://openalex.org/W2782176409","https://openalex.org/W4231592336"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W2370840338","https://openalex.org/W2745001401","https://openalex.org/W4321353415","https://openalex.org/W2130974462","https://openalex.org/W972276598","https://openalex.org/W2388641108","https://openalex.org/W3097031132","https://openalex.org/W65318257","https://openalex.org/W2248846581"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}