{"id":"https://openalex.org/W4317797605","doi":"https://doi.org/10.1007/s10208-023-09606-x","title":"Optimal Polynomial Meshes Exist on any Multivariate Convex Domain","display_name":"Optimal Polynomial Meshes Exist on any Multivariate Convex Domain","publication_year":2023,"publication_date":"2023-01-23","ids":{"openalex":"https://openalex.org/W4317797605","doi":"https://doi.org/10.1007/s10208-023-09606-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-023-09606-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-023-09606-x","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2205.14111","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101739624","display_name":"Feng Dai","orcid":"https://orcid.org/0000-0003-3127-0874"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Feng Dai","raw_affiliation_strings":["Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052358842","display_name":"Andriy Prymak","orcid":"https://orcid.org/0000-0002-5022-0154"},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Andriy Prymak","raw_affiliation_strings":["Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2, Canada","institution_ids":["https://openalex.org/I46247651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052358842"],"corresponding_institution_ids":["https://openalex.org/I46247651"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.3609,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.91712073,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"24","issue":"3","first_page":"989","last_page":"1018"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11822","display_name":"Analytic and geometric function theory","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.8104629516601562},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.807602047920227},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.7007488012313843},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6074926257133484},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5648009181022644},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.5539617538452148},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.544039249420166},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5186447501182556},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4671928882598877},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3224064111709595},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.28551551699638367},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25084787607192993},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.217983216047287},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05115500092506409}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8104629516601562},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.807602047920227},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.7007488012313843},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6074926257133484},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5648009181022644},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.5539617538452148},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.544039249420166},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5186447501182556},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4671928882598877},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3224064111709595},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.28551551699638367},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25084787607192993},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.217983216047287},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05115500092506409}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10208-023-09606-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-023-09606-x","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2205.14111","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2205.14111","pdf_url":"https://arxiv.org/pdf/2205.14111","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2205.14111","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2205.14111","pdf_url":"https://arxiv.org/pdf/2205.14111","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1963612676","https://openalex.org/W1973793989","https://openalex.org/W2003971308","https://openalex.org/W2041865361","https://openalex.org/W2047771459","https://openalex.org/W2049880347","https://openalex.org/W2097221822","https://openalex.org/W2276261864","https://openalex.org/W2276593316","https://openalex.org/W2314815589","https://openalex.org/W2470922878","https://openalex.org/W2599333814","https://openalex.org/W2963320257","https://openalex.org/W2963338165","https://openalex.org/W2965285632","https://openalex.org/W3013837412","https://openalex.org/W4213134887","https://openalex.org/W4361793249"],"related_works":["https://openalex.org/W4226058339","https://openalex.org/W4221156915","https://openalex.org/W2341883566","https://openalex.org/W2076059647","https://openalex.org/W2952186610","https://openalex.org/W1984154489","https://openalex.org/W2971022007","https://openalex.org/W4301271320","https://openalex.org/W1967098823","https://openalex.org/W86764353"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-01-20T17:24:06.736184","created_date":"2025-10-10T00:00:00"}