{"id":"https://openalex.org/W3141362017","doi":"https://doi.org/10.1007/s10915-021-01467-2","title":"Non-Intrusive Reduced-Order Modeling of Parameterized Electromagnetic Scattering Problems using Cubic Spline Interpolation","display_name":"Non-Intrusive Reduced-Order Modeling of Parameterized Electromagnetic Scattering Problems using Cubic Spline Interpolation","publication_year":2021,"publication_date":"2021-04-03","ids":{"openalex":"https://openalex.org/W3141362017","doi":"https://doi.org/10.1007/s10915-021-01467-2","mag":"3141362017"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01467-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01467-2","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":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-03437698/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100685193","display_name":"Kun Li","orcid":"https://orcid.org/0009-0002-1943-5437"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kun Li","raw_affiliation_strings":["School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, People\u2019s Republic of China","Southwestern University of Finance and Economics [Chengdu, China] ( 55 Guanghuacun St, Qingyang, Chengdu, Sichuan, China, 610072 - China)"],"affiliations":[{"raw_affiliation_string":"School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, People\u2019s Republic of China","institution_ids":["https://openalex.org/I204831749"]},{"raw_affiliation_string":"Southwestern University of Finance and Economics [Chengdu, China] ( 55 Guanghuacun St, Qingyang, Chengdu, Sichuan, China, 610072 - China)","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065782725","display_name":"Ting\u2010Zhu Huang","orcid":"https://orcid.org/0000-0001-7766-230X"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ting-Zhu Huang","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, People\u2019s Republic of China","UESTC - School of Mathematical Sciences [Chengdu] (Chengdu, Sichuan, P. R. China - China)"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, People\u2019s Republic of China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"UESTC - School of Mathematical Sciences [Chengdu] (Chengdu, Sichuan, P. R. China - China)","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004625661","display_name":"Liang Li","orcid":"https://orcid.org/0000-0002-3847-0310"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Li","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, People\u2019s Republic of China","UESTC - School of Mathematical Sciences [Chengdu] (Chengdu, Sichuan, P. R. China - China)"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, People\u2019s Republic of China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"UESTC - School of Mathematical Sciences [Chengdu] (Chengdu, Sichuan, P. R. China - China)","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013890431","display_name":"St\u00e9phane Lanteri","orcid":"https://orcid.org/0000-0001-6394-0487"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"St\u00e9phane Lanteri","raw_affiliation_strings":["INRIA, 2004 Route des Lucioles, BP 93, 06902, Sophia Antipolis Cedex, France","ATLANTIS - Mod\u00e9lisation et m\u00e9thodes num\u00e9riques pour le calcul d'interactions onde-mati\u00e8re nanostructur\u00e9e (2004 route des Lucioles BP 93 06902 Sophia Antipolis  - France)"],"affiliations":[{"raw_affiliation_string":"INRIA, 2004 Route des Lucioles, BP 93, 06902, Sophia Antipolis Cedex, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"ATLANTIS - Mod\u00e9lisation et m\u00e9thodes num\u00e9riques pour le calcul d'interactions onde-mati\u00e8re nanostructur\u00e9e (2004 route des Lucioles BP 93 06902 Sophia Antipolis  - France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100685193"],"corresponding_institution_ids":["https://openalex.org/I204831749"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.8378,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.85410874,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"87","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"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":0.9998999834060669,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9945999979972839,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7116934061050415},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.5377073287963867},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5286063551902771},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.5193708539009094},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5098287463188171},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.47996091842651367},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.46456968784332275},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.4602997899055481},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.45641380548477173},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.44084984064102173},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.43510323762893677},{"id":"https://openalex.org/keywords/coefficient-matrix","display_name":"Coefficient matrix","score":0.4217385947704315},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4200052320957184},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4191421866416931},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.386116087436676},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3114479184150696},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.22400951385498047},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.17501431703567505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1548592746257782}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7116934061050415},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.5377073287963867},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5286063551902771},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.5193708539009094},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5098287463188171},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.47996091842651367},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.46456968784332275},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.4602997899055481},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.45641380548477173},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.44084984064102173},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.43510323762893677},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.4217385947704315},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4200052320957184},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4191421866416931},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.386116087436676},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3114479184150696},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.22400951385498047},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.17501431703567505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1548592746257782},{"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/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-021-01467-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01467-2","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:HAL:hal-03437698v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03437698","pdf_url":"https://inria.hal.science/hal-03437698/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Scientific Computing, 2021, 87 (2), ⟨10.1007/s10915-021-01467-2⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03437698v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03437698","pdf_url":"https://inria.hal.science/hal-03437698/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Scientific Computing, 2021, 87 (2), ⟨10.1007/s10915-021-01467-2⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2751002267","display_name":null,"funder_award_id":"61772003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3085993365","display_name":null,"funder_award_id":"(Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5760752404","display_name":null,"funder_award_id":"Projects","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7726157001","display_name":null,"funder_award_id":"Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3141362017.pdf"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W1496311819","https://openalex.org/W1583515859","https://openalex.org/W1608707775","https://openalex.org/W1633869374","https://openalex.org/W1910956624","https://openalex.org/W1970257975","https://openalex.org/W1971739605","https://openalex.org/W1997870068","https://openalex.org/W2003371951","https://openalex.org/W2004026774","https://openalex.org/W2010336595","https://openalex.org/W2017745440","https://openalex.org/W2035934750","https://openalex.org/W2062501855","https://openalex.org/W2090292347","https://openalex.org/W2097652335","https://openalex.org/W2108311308","https://openalex.org/W2113794357","https://openalex.org/W2125166708","https://openalex.org/W2131569604","https://openalex.org/W2133041109","https://openalex.org/W2142063750","https://openalex.org/W2152896489","https://openalex.org/W2157928602","https://openalex.org/W2290405584","https://openalex.org/W2290969910","https://openalex.org/W2323980249","https://openalex.org/W2333312111","https://openalex.org/W2505672291","https://openalex.org/W2614570149","https://openalex.org/W2751987614","https://openalex.org/W2765643323","https://openalex.org/W2766298346","https://openalex.org/W2772709428","https://openalex.org/W2773460030","https://openalex.org/W2773988353","https://openalex.org/W2782277020","https://openalex.org/W2788980797","https://openalex.org/W2801348038","https://openalex.org/W2809491586","https://openalex.org/W2811395263","https://openalex.org/W2885469054","https://openalex.org/W2887222092","https://openalex.org/W2951128833","https://openalex.org/W2954161677","https://openalex.org/W2962677722","https://openalex.org/W2963509795","https://openalex.org/W2966338015","https://openalex.org/W2989594843","https://openalex.org/W2990024126","https://openalex.org/W3010724473","https://openalex.org/W3012617434","https://openalex.org/W3032947789","https://openalex.org/W3033721662","https://openalex.org/W3035605739","https://openalex.org/W3094159930","https://openalex.org/W6601517772"],"related_works":["https://openalex.org/W3121932492","https://openalex.org/W4232638561","https://openalex.org/W1997544008","https://openalex.org/W2070124887","https://openalex.org/W1607100495","https://openalex.org/W3004137470","https://openalex.org/W131378092","https://openalex.org/W1598328844","https://openalex.org/W4221140916","https://openalex.org/W2181942109"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}