{"id":"https://openalex.org/W3147774872","doi":"https://doi.org/10.1007/s10915-022-01853-4","title":"A Decision-Making Machine Learning Approach in Hermite Spectral Approximations of Partial Differential Equations","display_name":"A Decision-Making Machine Learning Approach in Hermite Spectral Approximations of Partial Differential Equations","publication_year":2022,"publication_date":"2022-05-17","ids":{"openalex":"https://openalex.org/W3147774872","doi":"https://doi.org/10.1007/s10915-022-01853-4","mag":"3147774872"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-022-01853-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-022-01853-4","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":"http://hdl.handle.net/11380/1276679","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016597542","display_name":"Lorella Fatone","orcid":"https://orcid.org/0000-0001-7163-5490"},"institutions":[{"id":"https://openalex.org/I112859197","display_name":"Universit\u00e0 di Camerino","ror":"https://ror.org/0005w8d69","country_code":"IT","type":"education","lineage":["https://openalex.org/I112859197"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"L. Fatone","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 degli Studi di Camerino, Via Madonna delle Carceri 9, 62032, Camerino, Italy","Dipartimento di Matematica, Universit\u00e0 degli Studi di Camerino, Camerino, Italy"],"raw_orcid":"https://orcid.org/0000-0001-7163-5490","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 degli Studi di Camerino, Via Madonna delle Carceri 9, 62032, Camerino, Italy","institution_ids":["https://openalex.org/I112859197"]},{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 degli Studi di Camerino, Camerino, Italy","institution_ids":["https://openalex.org/I112859197"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042821533","display_name":"Daniele Funaro","orcid":"https://orcid.org/0000-0001-7858-4542"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"education","lineage":["https://openalex.org/I122346577"]},{"id":"https://openalex.org/I4210137033","display_name":"Istituto di Matematica Applicata e Tecnologie Informatiche","ror":"https://ror.org/03m0n3c07","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210137033","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"D. Funaro","raw_affiliation_strings":["Dipartimento di Scienze Chimiche e Geologiche, Universit\u00e0 degli Studi di Modena e Reggio Emilia, Via Campi 103, 41125, Modena, Italy","Istituto di Matematica Applicata e Tecnologie Informatiche, Consiglio Nazionale delle Ricerche, Via Ferrata 1, 27100, Pavia, Italy","Dipartimento di Scienze Chimiche e Geologiche, Universit\u00e0 degli Studi di Modena e Reggio Emilia, Modena, Italy","Istituto di Matematica Applicata e Tecnologie Informatiche, Consiglio Nazionale delle Ricerche, Pavia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Chimiche e Geologiche, Universit\u00e0 degli Studi di Modena e Reggio Emilia, Via Campi 103, 41125, Modena, Italy","institution_ids":["https://openalex.org/I122346577"]},{"raw_affiliation_string":"Istituto di Matematica Applicata e Tecnologie Informatiche, Consiglio Nazionale delle Ricerche, Via Ferrata 1, 27100, Pavia, Italy","institution_ids":["https://openalex.org/I4210137033"]},{"raw_affiliation_string":"Dipartimento di Scienze Chimiche e Geologiche, Universit\u00e0 degli Studi di Modena e Reggio Emilia, Modena, Italy","institution_ids":["https://openalex.org/I122346577"]},{"raw_affiliation_string":"Istituto di Matematica Applicata e Tecnologie Informatiche, Consiglio Nazionale delle Ricerche, Pavia, Italy","institution_ids":["https://openalex.org/I4210137033"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014223403","display_name":"Gianmarco Manzini","orcid":"https://orcid.org/0000-0003-3626-3112"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Manzini","raw_affiliation_strings":["Applied Mathematics and Plasma Physics (T-5) Group, Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, USA","Applied Mathematics and Plasma Physics (T-5) Group, Theoretical Division, Los Alamos National Laboratory, Los Alamos, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Mathematics and Plasma Physics (T-5) Group, Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, USA","institution_ids":["https://openalex.org/I1343871089"]},{"raw_affiliation_string":"Applied Mathematics and Plasma Physics (T-5) Group, Theoretical Division, Los Alamos National Laboratory, Los Alamos, USA","institution_ids":["https://openalex.org/I1343871089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016597542"],"corresponding_institution_ids":["https://openalex.org/I112859197"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5007,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.595578,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"92","issue":"1","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":0.9993000030517578,"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":0.9993000030517578,"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":0.9864000082015991,"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/T11890","display_name":"Scientific Measurement and Uncertainty Evaluation","score":0.9739999771118164,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.7094751596450806},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7083412408828735},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6792811155319214},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5704771280288696},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5133199095726013},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4946608245372772},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4697725176811218},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.45089367032051086},{"id":"https://openalex.org/keywords/function-approximation","display_name":"Function approximation","score":0.44665923714637756},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42144137620925903},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.30198928713798523},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3007243275642395},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2422364354133606},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22213539481163025}],"concepts":[{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.7094751596450806},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7083412408828735},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6792811155319214},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5704771280288696},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5133199095726013},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4946608245372772},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4697725176811218},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.45089367032051086},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.44665923714637756},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42144137620925903},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.30198928713798523},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3007243275642395},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2422364354133606},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22213539481163025},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10915-022-01853-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-022-01853-4","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:iris.unimore.it:11380/1276679","is_oa":true,"landing_page_url":"http://hdl.handle.net/11380/1276679","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:it.cnr:prodotti:485706","is_oa":false,"landing_page_url":"http://www.cnr.it/prodotto/i/485706","pdf_url":null,"source":{"id":"https://openalex.org/S7407055101","display_name":"CNR ExploRA","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"info:cnr-pdr/source/autori:L. Fatone, D. Funaro, and G. Manzini/titolo:A decision-making machine learning approach in Hermite spectral approximations of partial differential equations/doi:10.1007%2Fs10915-022-01853-4/rivista:Journal of scientific computing/anno:2022/pagina_da:/pagina_a:/intervallo_pagine:/volume:92","raw_type":"Articolo in rivista"},{"id":"pmh:oai:osti.gov:1923631","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1923631","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},{"id":"pmh:oai:pubblicazioni.unicam.it:11581/465373","is_oa":true,"landing_page_url":"https://hdl.handle.net/11581/465373","pdf_url":null,"source":{"id":"https://openalex.org/S4306400819","display_name":"Unicam Scientific Publications (University of Camerino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I112859197","host_organization_name":"Universit\u00e0 di Camerino","host_organization_lineage":["https://openalex.org/I112859197"],"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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.unimore.it:11380/1276679","is_oa":true,"landing_page_url":"http://hdl.handle.net/11380/1276679","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.8299999833106995,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W5594912","https://openalex.org/W56743589","https://openalex.org/W195150910","https://openalex.org/W391985582","https://openalex.org/W640428934","https://openalex.org/W1025628748","https://openalex.org/W1530699444","https://openalex.org/W1548913980","https://openalex.org/W1596717185","https://openalex.org/W1912930600","https://openalex.org/W1964357740","https://openalex.org/W1975666830","https://openalex.org/W2013282326","https://openalex.org/W2022382654","https://openalex.org/W2028522134","https://openalex.org/W2059559601","https://openalex.org/W2072022733","https://openalex.org/W2073492708","https://openalex.org/W2078959912","https://openalex.org/W2102871258","https://openalex.org/W2102909657","https://openalex.org/W2103496339","https://openalex.org/W2123224804","https://openalex.org/W2131947874","https://openalex.org/W2137226992","https://openalex.org/W2153635508","https://openalex.org/W2156909104","https://openalex.org/W2158581396","https://openalex.org/W2164096571","https://openalex.org/W2168029744","https://openalex.org/W2339215870","https://openalex.org/W2505225485","https://openalex.org/W2538218618","https://openalex.org/W2565403309","https://openalex.org/W2567496922","https://openalex.org/W2749028154","https://openalex.org/W2795198473","https://openalex.org/W2873839375","https://openalex.org/W2889232881","https://openalex.org/W2899283552","https://openalex.org/W2963430769","https://openalex.org/W2991550674","https://openalex.org/W2998973082","https://openalex.org/W3010839048","https://openalex.org/W3021821037","https://openalex.org/W3048522452","https://openalex.org/W3048778144","https://openalex.org/W3093786597","https://openalex.org/W3101749733","https://openalex.org/W3102139197","https://openalex.org/W3167156241","https://openalex.org/W4230674625","https://openalex.org/W4253937035","https://openalex.org/W4301244162"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W1971388572","https://openalex.org/W1507702947"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
