{"id":"https://openalex.org/W2144116067","doi":"https://doi.org/10.1007/s10915-013-9722-z","title":"Two-Step Greedy Algorithm for Reduced Order Quadratures","display_name":"Two-Step Greedy Algorithm for Reduced Order Quadratures","publication_year":2013,"publication_date":"2013-05-15","ids":{"openalex":"https://openalex.org/W2144116067","doi":"https://doi.org/10.1007/s10915-013-9722-z","mag":"2144116067"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-013-9722-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9722-z","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1210.0577","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021343350","display_name":"Harbir Antil","orcid":"https://orcid.org/0000-0002-6641-1449"},"institutions":[{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Harbir Antil","raw_affiliation_strings":["Department of Mathematical Sciences, George Mason University, Fairfax, VA, 22030, USA","Department of Mathematical Sciences, George Mason University, Fairfax, USA 22030#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, George Mason University, Fairfax, VA, 22030, USA","institution_ids":["https://openalex.org/I162714631"]},{"raw_affiliation_string":"Department of Mathematical Sciences, George Mason University, Fairfax, USA 22030#TAB#","institution_ids":["https://openalex.org/I162714631"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061276904","display_name":"Scott E. Field","orcid":"https://orcid.org/0000-0002-6037-3277"},"institutions":[{"id":"https://openalex.org/I4210112515","display_name":"Joint Space Science Institute","ror":"https://ror.org/01wjew854","country_code":"US","type":"facility","lineage":["https://openalex.org/I4210112515"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Scott E. Field","raw_affiliation_strings":["Department of Physics, Joint Space Science Institute, Maryland Center for Fundamental Physics, University of Maryland, College Park, MD, 20742, USA","Department of Physics, Joint Space Science Institute, Maryland Center for Fundamental Physics, University of Maryland, College Park, USA 20742#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Joint Space Science Institute, Maryland Center for Fundamental Physics, University of Maryland, College Park, MD, 20742, USA","institution_ids":["https://openalex.org/I4210112515","https://openalex.org/I66946132"]},{"raw_affiliation_string":"Department of Physics, Joint Space Science Institute, Maryland Center for Fundamental Physics, University of Maryland, College Park, USA 20742#TAB#","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048571640","display_name":"Frank Herrmann","orcid":"https://orcid.org/0000-0003-4939-0479"},"institutions":[{"id":"https://openalex.org/I4210112515","display_name":"Joint Space Science Institute","ror":"https://ror.org/01wjew854","country_code":"US","type":"facility","lineage":["https://openalex.org/I4210112515"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Frank Herrmann","raw_affiliation_strings":["Center for Scientific Computation and Mathematical Modeling, Department of Physics, Joint Space Science Institute, Maryland Center for Fundamental Physics, University of Maryland, College Park, MD, 20742, USA","Center for Scientific Computation and Mathematical Modeling, Department of Physics, Joint Space Science Institute, Maryland Center for Fundamental Physics, University of Maryland, College Park, US ...#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Scientific Computation and Mathematical Modeling, Department of Physics, Joint Space Science Institute, Maryland Center for Fundamental Physics, University of Maryland, College Park, MD, 20742, USA","institution_ids":["https://openalex.org/I4210112515","https://openalex.org/I66946132"]},{"raw_affiliation_string":"Center for Scientific Computation and Mathematical Modeling, Department of Physics, Joint Space Science Institute, Maryland Center for Fundamental Physics, University of Maryland, College Park, US ...#TAB#","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040883953","display_name":"Ricardo H. Nochetto","orcid":"https://orcid.org/0009-0002-8895-1144"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ricardo H. Nochetto","raw_affiliation_strings":["Department of Mathematics, and Institute of Physical Science and Technology, University of Maryland, College Park, MD, 20742, USA","Department of Mathematics and Institute of Physical Science and Technology, University of Maryland, College Park, USA 20742#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, and Institute of Physical Science and Technology, University of Maryland, College Park, MD, 20742, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Department of Mathematics and Institute of Physical Science and Technology, University of Maryland, College Park, USA 20742#TAB#","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042701304","display_name":"Manuel Tiglio","orcid":"https://orcid.org/0000-0003-0451-9611"},"institutions":[{"id":"https://openalex.org/I4210112515","display_name":"Joint Space Science Institute","ror":"https://ror.org/01wjew854","country_code":"US","type":"facility","lineage":["https://openalex.org/I4210112515"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Manuel Tiglio","raw_affiliation_strings":["Center for Scientific Computation and Mathematical Modeling, Department of Physics, Joint Space Science Institute, Maryland Center for Fundamental Physics, University of Maryland, College Park, MD, 20742, USA","Center for Scientific Computation and Mathematical Modeling, Department of Physics, Joint Space Science Institute, Maryland Center for Fundamental Physics, University of Maryland, College Park, US ...#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Scientific Computation and Mathematical Modeling, Department of Physics, Joint Space Science Institute, Maryland Center for Fundamental Physics, University of Maryland, College Park, MD, 20742, USA","institution_ids":["https://openalex.org/I4210112515","https://openalex.org/I66946132"]},{"raw_affiliation_string":"Center for Scientific Computation and Mathematical Modeling, Department of Physics, Joint Space Science Institute, Maryland Center for Fundamental Physics, University of Maryland, College Park, US ...#TAB#","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.9979,"has_fulltext":true,"cited_by_count":52,"citation_normalized_percentile":{"value":0.91622062,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"57","issue":"3","first_page":"604","last_page":"637"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9944999814033508,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9839000105857849,"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":0.7880244255065918},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5382947325706482},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5327150225639343},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5296881794929504},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.515652060508728},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5028566718101501},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.49139466881752014},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.48255056142807007},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.47059428691864014},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.464069664478302},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45353221893310547},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.43308985233306885},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38621440529823303},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1576356291770935},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13660475611686707},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1125408411026001},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09063220024108887}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7880244255065918},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5382947325706482},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5327150225639343},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5296881794929504},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.515652060508728},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5028566718101501},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.49139466881752014},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.48255056142807007},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.47059428691864014},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.464069664478302},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45353221893310547},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.43308985233306885},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38621440529823303},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1576356291770935},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13660475611686707},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1125408411026001},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09063220024108887},{"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/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"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/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-013-9722-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9722-z","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"},{"id":"pmh:oai:arXiv.org:1210.0577","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1210.0577","pdf_url":"https://arxiv.org/pdf/1210.0577","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:1210.0577","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1210.0577","pdf_url":"https://arxiv.org/pdf/1210.0577","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":[{"id":"https://openalex.org/G1982444883","display_name":null,"funder_award_id":"DMS-1109325","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2452578372","display_name":null,"funder_award_id":"PHY1125915","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G432134336","display_name":null,"funder_award_id":"1109325","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6990594587","display_name":null,"funder_award_id":"0807811","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2144116067.pdf","grobid_xml":"https://content.openalex.org/works/W2144116067.grobid-xml"},"referenced_works_count":69,"referenced_works":["https://openalex.org/W201848369","https://openalex.org/W1500592341","https://openalex.org/W1521990686","https://openalex.org/W1530197435","https://openalex.org/W1544770564","https://openalex.org/W1601707951","https://openalex.org/W1965995299","https://openalex.org/W1966166722","https://openalex.org/W1978916504","https://openalex.org/W1985112657","https://openalex.org/W2003815348","https://openalex.org/W2004485838","https://openalex.org/W2004587738","https://openalex.org/W2006360576","https://openalex.org/W2008831524","https://openalex.org/W2010085272","https://openalex.org/W2015844661","https://openalex.org/W2015915693","https://openalex.org/W2017275814","https://openalex.org/W2021411519","https://openalex.org/W2027395604","https://openalex.org/W2033442379","https://openalex.org/W2039055345","https://openalex.org/W2039998205","https://openalex.org/W2043645849","https://openalex.org/W2047446109","https://openalex.org/W2047591100","https://openalex.org/W2049753327","https://openalex.org/W2051539854","https://openalex.org/W2052690618","https://openalex.org/W2055158898","https://openalex.org/W2060006233","https://openalex.org/W2064703337","https://openalex.org/W2070717869","https://openalex.org/W2077590995","https://openalex.org/W2082839315","https://openalex.org/W2094666253","https://openalex.org/W2096804551","https://openalex.org/W2106082434","https://openalex.org/W2110649199","https://openalex.org/W2122674116","https://openalex.org/W2124236693","https://openalex.org/W2126106500","https://openalex.org/W2126774097","https://openalex.org/W2128918391","https://openalex.org/W2142520301","https://openalex.org/W2153135464","https://openalex.org/W2153281278","https://openalex.org/W2170943247","https://openalex.org/W2244710949","https://openalex.org/W2331834750","https://openalex.org/W2341283081","https://openalex.org/W2565472021","https://openalex.org/W2595976380","https://openalex.org/W2924040522","https://openalex.org/W2952023275","https://openalex.org/W3004696454","https://openalex.org/W3027672607","https://openalex.org/W3103673606","https://openalex.org/W3104872882","https://openalex.org/W3106384049","https://openalex.org/W3122428211","https://openalex.org/W3128688983","https://openalex.org/W4240596267","https://openalex.org/W4241741064","https://openalex.org/W4248468406","https://openalex.org/W4250456029","https://openalex.org/W4299521717","https://openalex.org/W6817121813"],"related_works":["https://openalex.org/W2006953814","https://openalex.org/W2542637001","https://openalex.org/W1972782945","https://openalex.org/W3212981098","https://openalex.org/W4221090543","https://openalex.org/W2130622405","https://openalex.org/W2109887391","https://openalex.org/W1819996744","https://openalex.org/W2154858558","https://openalex.org/W1816864220"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-13T07:54:00.901334","created_date":"2025-10-10T00:00:00"}
