{"id":"https://openalex.org/W2095886698","doi":"https://doi.org/10.1007/s10208-014-9197-9","title":"Extensions of Gauss Quadrature Via Linear Programming","display_name":"Extensions of Gauss Quadrature Via Linear Programming","publication_year":2014,"publication_date":"2014-03-25","ids":{"openalex":"https://openalex.org/W2095886698","doi":"https://doi.org/10.1007/s10208-014-9197-9","mag":"2095886698"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-014-9197-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-014-9197-9","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/A5051908963","display_name":"Ernest K. Ryu","orcid":"https://orcid.org/0000-0001-6820-9095"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ernest K. Ryu","raw_affiliation_strings":["Institute for Computational and Mathematical Engineering, Stanford University, Stanford, CA\u00a0, 94305, USA","Institute for Computational and Mathematical Engineering, Stanford University, Stanford, USA 94305#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute for Computational and Mathematical Engineering, Stanford University, Stanford, CA\u00a0, 94305, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Institute for Computational and Mathematical Engineering, Stanford University, Stanford, USA 94305#TAB#","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011176205","display_name":"Stephen Boyd","orcid":"https://orcid.org/0000-0001-8353-6000"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen P. Boyd","raw_affiliation_strings":["Electrical Engineering, Stanford University, Stanford, CA\u00a0, 94305, USA","Electrical Engineering, Stanford University, Stanford, USA 94305#TAB#"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering, Stanford University, Stanford, CA\u00a0, 94305, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Electrical Engineering, Stanford University, Stanford, USA 94305#TAB#","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051908963"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.6221,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.94145922,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"15","issue":"4","first_page":"953","last_page":"971"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9969000220298767,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.9943000078201294,"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/gauss\u2013kronrod-quadrature-formula","display_name":"Gauss\u2013Kronrod quadrature formula","score":0.9024386405944824},{"id":"https://openalex.org/keywords/tanh-sinh-quadrature","display_name":"Tanh-sinh quadrature","score":0.8875951170921326},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8288275003433228},{"id":"https://openalex.org/keywords/clenshaw\u2013curtis-quadrature","display_name":"Clenshaw\u2013Curtis quadrature","score":0.8280029296875},{"id":"https://openalex.org/keywords/gauss\u2013jacobi-quadrature","display_name":"Gauss\u2013Jacobi quadrature","score":0.8202424645423889},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.7961957454681396},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.7065763473510742},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.6906362771987915},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.5736382603645325},{"id":"https://openalex.org/keywords/gauss\u2013hermite-quadrature","display_name":"Gauss\u2013Hermite quadrature","score":0.5682522654533386},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.531197726726532},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5119661092758179},{"id":"https://openalex.org/keywords/gauss\u2013laguerre-quadrature","display_name":"Gauss\u2013Laguerre quadrature","score":0.498431921005249},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40456855297088623},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.3109701871871948},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.17463147640228271},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0905805230140686}],"concepts":[{"id":"https://openalex.org/C14103991","wikidata":"https://www.wikidata.org/wiki/Q5527852","display_name":"Gauss\u2013Kronrod quadrature formula","level":4,"score":0.9024386405944824},{"id":"https://openalex.org/C162046254","wikidata":"https://www.wikidata.org/wiki/Q7683194","display_name":"Tanh-sinh quadrature","level":5,"score":0.8875951170921326},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8288275003433228},{"id":"https://openalex.org/C172657837","wikidata":"https://www.wikidata.org/wiki/Q5131618","display_name":"Clenshaw\u2013Curtis quadrature","level":5,"score":0.8280029296875},{"id":"https://openalex.org/C54691486","wikidata":"https://www.wikidata.org/wiki/Q5527851","display_name":"Gauss\u2013Jacobi quadrature","level":5,"score":0.8202424645423889},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.7961957454681396},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.7065763473510742},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.6906362771987915},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.5736382603645325},{"id":"https://openalex.org/C167590341","wikidata":"https://www.wikidata.org/wiki/Q5527850","display_name":"Gauss\u2013Hermite quadrature","level":5,"score":0.5682522654533386},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.531197726726532},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5119661092758179},{"id":"https://openalex.org/C6866599","wikidata":"https://www.wikidata.org/wiki/Q4218412","display_name":"Gauss\u2013Laguerre quadrature","level":5,"score":0.498431921005249},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40456855297088623},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.3109701871871948},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.17463147640228271},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0905805230140686},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10208-014-9197-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-014-9197-9","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:CiteSeerX.psu:10.1.1.398.7840","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.398.7840","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://stanford.edu/~boyd/papers/pdf/gauss_quad_lp.pdf","raw_type":"text"},{"id":"pmh:oai:s-space.snu.ac.kr:10371/198499","is_oa":false,"landing_page_url":"https://hdl.handle.net/10371/198499","pdf_url":null,"source":{"id":"https://openalex.org/S4306401345","display_name":"Seoul National University Open Repository (Seoul National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139264467","host_organization_name":"Seoul National University","host_organization_lineage":["https://openalex.org/I139264467"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W23656998","https://openalex.org/W83112366","https://openalex.org/W280536263","https://openalex.org/W564963347","https://openalex.org/W586730548","https://openalex.org/W640584067","https://openalex.org/W1534416612","https://openalex.org/W1593542532","https://openalex.org/W1967344706","https://openalex.org/W1981295906","https://openalex.org/W1986931325","https://openalex.org/W1999767978","https://openalex.org/W2004791619","https://openalex.org/W2014114127","https://openalex.org/W2018639632","https://openalex.org/W2020328455","https://openalex.org/W2052963818","https://openalex.org/W2065451462","https://openalex.org/W2066578794","https://openalex.org/W2069877263","https://openalex.org/W2073732659","https://openalex.org/W2079135578","https://openalex.org/W2082108265","https://openalex.org/W2091183786","https://openalex.org/W2094438648","https://openalex.org/W2119862467","https://openalex.org/W2120062331","https://openalex.org/W2135046866","https://openalex.org/W2145096794","https://openalex.org/W2153793580","https://openalex.org/W2171502450","https://openalex.org/W2266946488","https://openalex.org/W2296319761","https://openalex.org/W2313299119","https://openalex.org/W2314359380","https://openalex.org/W2492581980","https://openalex.org/W2801179766","https://openalex.org/W3022398353","https://openalex.org/W3029645440","https://openalex.org/W4205552555","https://openalex.org/W4214940474","https://openalex.org/W4230445183","https://openalex.org/W4239806631","https://openalex.org/W4245533130","https://openalex.org/W4250589301","https://openalex.org/W4253214256","https://openalex.org/W4291236916"],"related_works":["https://openalex.org/W2289189603","https://openalex.org/W1661554543","https://openalex.org/W2014602125","https://openalex.org/W2317216161","https://openalex.org/W4390128132","https://openalex.org/W4389939969","https://openalex.org/W2765175526","https://openalex.org/W2148120208","https://openalex.org/W2469184508","https://openalex.org/W2012315814"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
