{"id":"https://openalex.org/W2092171993","doi":"https://doi.org/10.1007/s10915-009-9319-8","title":"The L 2-Optimality of the IIPG Method for Odd Degrees of Polynomial Approximation in 1D","display_name":"The L 2-Optimality of the IIPG Method for Odd Degrees of Polynomial Approximation in 1D","publication_year":2009,"publication_date":"2009-07-29","ids":{"openalex":"https://openalex.org/W2092171993","doi":"https://doi.org/10.1007/s10915-009-9319-8","mag":"2092171993"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-009-9319-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-009-9319-8","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/A5023276584","display_name":"V\u00edt Dolej\u0161\u00ed","orcid":"https://orcid.org/0000-0001-6356-934X"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"V\u00edt Dolej\u0161\u00ed","raw_affiliation_strings":["Faculty of Mathematics and Physics, Charles University Prague, Sokolovsk\u00e1 83, 186\u200975, Prague 8, Czech Republic","Faculty of Mathematics and Physics, Charles University Prague, Prague 8, Czech Republic 186-75#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Physics, Charles University Prague, Sokolovsk\u00e1 83, 186\u200975, Prague 8, Czech Republic","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Faculty of Mathematics and Physics, Charles University Prague, Prague 8, Czech Republic 186-75#TAB#","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048400968","display_name":"Oto Havle","orcid":null},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Oto Havle","raw_affiliation_strings":["Faculty of Mathematics and Physics, Charles University Prague, Sokolovsk\u00e1 83, 186\u200975, Prague 8, Czech Republic","Faculty of Mathematics and Physics, Charles University Prague, Prague 8, Czech Republic 186-75#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Physics, Charles University Prague, Sokolovsk\u00e1 83, 186\u200975, Prague 8, Czech Republic","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Faculty of Mathematics and Physics, Charles University Prague, Prague 8, Czech Republic 186-75#TAB#","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023276584"],"corresponding_institution_ids":["https://openalex.org/I21250087"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0697,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.79067594,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"42","issue":"1","first_page":"122","last_page":"143"},"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":1.0,"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":1.0,"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":0.9984999895095825,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8745627403259277},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6503924131393433},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6053441166877747},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5847864747047424},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5617989897727966},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.548466145992279},{"id":"https://openalex.org/keywords/uniform-norm","display_name":"Uniform norm","score":0.47760626673698425},{"id":"https://openalex.org/keywords/superconvergence","display_name":"Superconvergence","score":0.4652840197086334},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4320406913757324},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.42969366908073425},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.41776782274246216},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36827969551086426},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33542758226394653},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.22902175784111023},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15390044450759888}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8745627403259277},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6503924131393433},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6053441166877747},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5847864747047424},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5617989897727966},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.548466145992279},{"id":"https://openalex.org/C146324458","wikidata":"https://www.wikidata.org/wiki/Q1202673","display_name":"Uniform norm","level":2,"score":0.47760626673698425},{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.4652840197086334},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4320406913757324},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.42969366908073425},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.41776782274246216},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36827969551086426},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33542758226394653},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.22902175784111023},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15390044450759888},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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},{"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/s10915-009-9319-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-009-9319-8","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W40513484","https://openalex.org/W140909251","https://openalex.org/W222841820","https://openalex.org/W1972960967","https://openalex.org/W1979428605","https://openalex.org/W1979771104","https://openalex.org/W2029725158","https://openalex.org/W2030372536","https://openalex.org/W2054295668","https://openalex.org/W2065451462","https://openalex.org/W2102096503","https://openalex.org/W2105474364","https://openalex.org/W2130350269","https://openalex.org/W4230445183","https://openalex.org/W4233665781"],"related_works":["https://openalex.org/W2094577950","https://openalex.org/W2031157121","https://openalex.org/W1565666028","https://openalex.org/W2891538916","https://openalex.org/W2160252404","https://openalex.org/W4230524683","https://openalex.org/W2386448237","https://openalex.org/W2035611149","https://openalex.org/W1974112851","https://openalex.org/W2963049391"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}