{"id":"https://openalex.org/W76303595","doi":"https://doi.org/10.1007/s10208-015-9274-8","title":"Sampling and Cubature on Sparse Grids Based on a B-spline Quasi-Interpolation","display_name":"Sampling and Cubature on Sparse Grids Based on a B-spline Quasi-Interpolation","publication_year":2015,"publication_date":"2015-11-18","ids":{"openalex":"https://openalex.org/W76303595","doi":"https://doi.org/10.1007/s10208-015-9274-8","mag":"76303595"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-015-9274-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-015-9274-8","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":["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/A5078668326","display_name":"\u00d0inh D\u0169ng","orcid":"https://orcid.org/0000-0003-2333-5623"},"institutions":[{"id":"https://openalex.org/I135822937","display_name":"Hanoi National University of Education","ror":"https://ror.org/0360g3z42","country_code":"VN","type":"education","lineage":["https://openalex.org/I135822937"]},{"id":"https://openalex.org/I177233841","display_name":"Vietnam National University, Hanoi","ror":"https://ror.org/02jmfj006","country_code":"VN","type":"education","lineage":["https://openalex.org/I177233841"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Dinh D\u0169ng","raw_affiliation_strings":["Information Technology Institute, Vietnam National University, Hanoi, 144 Xuan Thuy, Cau Giay, Hanoi, Vietnam","Information Technology Institute, Vietnam National University, Hanoi, Hanoi, Vietnam#TAB#"],"affiliations":[{"raw_affiliation_string":"Information Technology Institute, Vietnam National University, Hanoi, 144 Xuan Thuy, Cau Giay, Hanoi, Vietnam","institution_ids":["https://openalex.org/I135822937","https://openalex.org/I177233841"]},{"raw_affiliation_string":"Information Technology Institute, Vietnam National University, Hanoi, Hanoi, Vietnam#TAB#","institution_ids":["https://openalex.org/I177233841"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078668326"],"corresponding_institution_ids":["https://openalex.org/I135822937","https://openalex.org/I177233841"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.0464,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.95133531,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"16","issue":"5","first_page":"1193","last_page":"1240"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9998000264167786,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9998000264167786,"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9926999807357788,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9905999898910522,"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/mathematics","display_name":"Mathematics","score":0.7640225291252136},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.7176451683044434},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6626334190368652},{"id":"https://openalex.org/keywords/unit-cube","display_name":"Unit cube","score":0.5894486904144287},{"id":"https://openalex.org/keywords/unit-sphere","display_name":"Unit sphere","score":0.48591676354408264},{"id":"https://openalex.org/keywords/sparse-grid","display_name":"Sparse grid","score":0.4776947796344757},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4690062701702118},{"id":"https://openalex.org/keywords/uniform-norm","display_name":"Uniform norm","score":0.45429956912994385},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.43053779006004333},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.4186333417892456},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3444516360759735},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13142526149749756},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10924771428108215}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7640225291252136},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.7176451683044434},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6626334190368652},{"id":"https://openalex.org/C60432849","wikidata":"https://www.wikidata.org/wiki/Q2072112","display_name":"Unit cube","level":2,"score":0.5894486904144287},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.48591676354408264},{"id":"https://openalex.org/C156439662","wikidata":"https://www.wikidata.org/wiki/Q7573793","display_name":"Sparse grid","level":2,"score":0.4776947796344757},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4690062701702118},{"id":"https://openalex.org/C146324458","wikidata":"https://www.wikidata.org/wiki/Q1202673","display_name":"Uniform norm","level":2,"score":0.45429956912994385},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.43053779006004333},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.4186333417892456},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3444516360759735},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13142526149749756},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10924771428108215},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-015-9274-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-015-9274-8","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309617","display_name":"National Foundation for Science and Technology Development","ror":"https://ror.org/04rw64z44"},{"id":"https://openalex.org/F4320324338","display_name":"Vietnam Institute for Advanced Study in Mathematics","ror":"https://ror.org/00jn6x547"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W5088572","https://openalex.org/W37878551","https://openalex.org/W76303595","https://openalex.org/W108609485","https://openalex.org/W204604922","https://openalex.org/W560409768","https://openalex.org/W602313805","https://openalex.org/W1489213177","https://openalex.org/W1493969319","https://openalex.org/W1533889494","https://openalex.org/W1601678120","https://openalex.org/W1646309082","https://openalex.org/W1714077815","https://openalex.org/W1820164671","https://openalex.org/W1839061065","https://openalex.org/W1967026886","https://openalex.org/W1971161110","https://openalex.org/W1971760781","https://openalex.org/W1974854353","https://openalex.org/W2002274796","https://openalex.org/W2003379898","https://openalex.org/W2020990401","https://openalex.org/W2021382991","https://openalex.org/W2024729723","https://openalex.org/W2026461371","https://openalex.org/W2032872151","https://openalex.org/W2048708887","https://openalex.org/W2052806039","https://openalex.org/W2068953972","https://openalex.org/W2110888545","https://openalex.org/W2111657073","https://openalex.org/W2114888017","https://openalex.org/W2122862651","https://openalex.org/W2146547861","https://openalex.org/W2147211666","https://openalex.org/W2210428752","https://openalex.org/W2341171179","https://openalex.org/W2403013574","https://openalex.org/W2497677836","https://openalex.org/W2798679239","https://openalex.org/W2970070367","https://openalex.org/W3119524009","https://openalex.org/W4205354563","https://openalex.org/W4231475313","https://openalex.org/W4252664964","https://openalex.org/W4253840677","https://openalex.org/W4255975175","https://openalex.org/W4256555983","https://openalex.org/W4285719527","https://openalex.org/W6602007479"],"related_works":["https://openalex.org/W2480729894","https://openalex.org/W1545751447","https://openalex.org/W26985254","https://openalex.org/W2904804828","https://openalex.org/W3088374900","https://openalex.org/W2245990244","https://openalex.org/W1993171586","https://openalex.org/W4300476155","https://openalex.org/W3001669720","https://openalex.org/W4206236270"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
