{"id":"https://openalex.org/W3159898731","doi":"https://doi.org/10.1007/s00366-021-01485-6","title":"Dynamic mode decomposition in adaptive mesh refinement and coarsening simulations","display_name":"Dynamic mode decomposition in adaptive mesh refinement and coarsening simulations","publication_year":2021,"publication_date":"2021-08-02","ids":{"openalex":"https://openalex.org/W3159898731","doi":"https://doi.org/10.1007/s00366-021-01485-6","mag":"3159898731","pmid":"https://pubmed.ncbi.nlm.nih.gov/34366524"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-021-01485-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-021-01485-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-021-01485-6.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00366-021-01485-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048380435","display_name":"Gabriel F. Barros","orcid":null},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Gabriel F. Barros","raw_affiliation_strings":["Department of Civil Engineering, COPPE/Federal University of Rio de Janeiro, P.O. Box 68506, 21945-970 Rio de Janeiro, RJ Brazil","#N##TAB##TAB##TAB##TAB# Universidade Federal do Rio de Janeiro#N##TAB##TAB##TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering, COPPE/Federal University of Rio de Janeiro, P.O. Box 68506, 21945-970 Rio de Janeiro, RJ Brazil","institution_ids":[]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Universidade Federal do Rio de Janeiro#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I122140584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006586739","display_name":"Mal\u00fa Grave","orcid":"https://orcid.org/0000-0002-7697-0658"},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Mal\u00fa Grave","raw_affiliation_strings":["Department of Civil Engineering, COPPE/Federal University of Rio de Janeiro, P.O. Box 68506, 21945-970 Rio de Janeiro, RJ Brazil","#N##TAB##TAB##TAB##TAB# Universidade Federal do Rio de Janeiro#N##TAB##TAB##TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering, COPPE/Federal University of Rio de Janeiro, P.O. Box 68506, 21945-970 Rio de Janeiro, RJ Brazil","institution_ids":[]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Universidade Federal do Rio de Janeiro#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I122140584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085271935","display_name":"Alex Viguerie","orcid":"https://orcid.org/0000-0002-8556-3499"},"institutions":[{"id":"https://openalex.org/I4210150763","display_name":"Gran Sasso Science Institute","ror":"https://ror.org/043qcb444","country_code":"IT","type":"education","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210150763"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alex Viguerie","raw_affiliation_strings":["Department of Mathematics, Gran Sasso Science Institute, Viale Francesco Crispi 7, L'Aquila, AQ 67100 Italy","Department of Mathematics, Gran Sasso Science Institute, L\u2019Aquila, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Gran Sasso Science Institute, Viale Francesco Crispi 7, L'Aquila, AQ 67100 Italy","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Gran Sasso Science Institute, L\u2019Aquila, Italy","institution_ids":["https://openalex.org/I4210150763"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020143872","display_name":"Alessandro Reali","orcid":"https://orcid.org/0000-0002-0639-7067"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Reali","raw_affiliation_strings":["Dipartimento di Ingegneria Civile ed Architettura, Universit\u00e0 di Pavia, Via Ferrata 3, Pavia, PV 27100 Italy","University of Pavia"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Civile ed Architettura, Universit\u00e0 di Pavia, Via Ferrata 3, Pavia, PV 27100 Italy","institution_ids":[]},{"raw_affiliation_string":"University of Pavia","institution_ids":["https://openalex.org/I25217355"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011203415","display_name":"\u00c1lvaro L. G. A. Coutinho","orcid":"https://orcid.org/0000-0002-4764-1142"},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Alvaro L. G. A. Coutinho","raw_affiliation_strings":["Department of Civil Engineering, COPPE/Federal University of Rio de Janeiro, P.O. Box 68506, 21945-970 Rio de Janeiro, RJ Brazil","#N##TAB##TAB##TAB##TAB# Universidade Federal do Rio de Janeiro#N##TAB##TAB##TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering, COPPE/Federal University of Rio de Janeiro, P.O. Box 68506, 21945-970 Rio de Janeiro, RJ Brazil","institution_ids":[]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Universidade Federal do Rio de Janeiro#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I122140584"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5048380435"],"corresponding_institution_ids":["https://openalex.org/I122140584"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0912,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.3848464,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"38","issue":"5","first_page":"4241","last_page":"4268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11371","display_name":"Wind and Air Flow Studies","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11371","display_name":"Wind and Air Flow Studies","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9954000115394592,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dynamic-mode-decomposition","display_name":"Dynamic mode decomposition","score":0.935448944568634},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6514605283737183},{"id":"https://openalex.org/keywords/adaptive-mesh-refinement","display_name":"Adaptive mesh refinement","score":0.6340486407279968},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.541731059551239},{"id":"https://openalex.org/keywords/snapshot","display_name":"Snapshot (computer storage)","score":0.5344212651252747},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.5267918705940247},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4914628267288208},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.4860842525959015},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.47309473156929016},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.41423410177230835},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.38128864765167236},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3704880475997925},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.23816201090812683},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19853147864341736},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19525370001792908},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.17439228296279907},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12138554453849792}],"concepts":[{"id":"https://openalex.org/C2777032711","wikidata":"https://www.wikidata.org/wiki/Q5318993","display_name":"Dynamic mode decomposition","level":2,"score":0.935448944568634},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6514605283737183},{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.6340486407279968},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.541731059551239},{"id":"https://openalex.org/C55282118","wikidata":"https://www.wikidata.org/wiki/Q252683","display_name":"Snapshot (computer storage)","level":2,"score":0.5344212651252747},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.5267918705940247},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4914628267288208},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.4860842525959015},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.47309473156929016},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.41423410177230835},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38128864765167236},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3704880475997925},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.23816201090812683},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19853147864341736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19525370001792908},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.17439228296279907},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12138554453849792},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1007/s00366-021-01485-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-021-01485-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-021-01485-6.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},{"id":"pmid:34366524","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34366524","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with computers","raw_type":null},{"id":"pmh:oai:arXiv.org:2104.14034","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.14034","pdf_url":"https://arxiv.org/pdf/2104.14034","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"},{"id":"mag:3159898731","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2104.14034.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:ora.uniurb.it:11576/2754802","is_oa":false,"landing_page_url":"https://hdl.handle.net/11576/2754802","pdf_url":null,"source":{"id":"https://openalex.org/S4377196377","display_name":"CINECA IRIS Institutional Research information system (University of Urbino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190397597","host_organization_name":"University of Urbino","host_organization_lineage":["https://openalex.org/I190397597"],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pubmedcentral.nih.gov:8328142","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8328142","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Eng Comput","raw_type":"Text"},{"id":"doi:10.48550/arxiv.2104.14034","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2104.14034","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.60692/gbrbj-5gr74","is_oa":true,"landing_page_url":"https://doi.org/10.60692/gbrbj-5gr74","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.60692/mprr0-y7423","is_oa":true,"landing_page_url":"https://doi.org/10.60692/mprr0-y7423","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1007/s00366-021-01485-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-021-01485-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-021-01485-6.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7799999713897705,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[{"id":"https://openalex.org/G120275728","display_name":null,"funder_award_id":"Univer","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G146285273","display_name":null,"funder_award_id":"FAPERJ","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G2984838246","display_name":null,"funder_award_id":"0173C478N","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G3288294548","display_name":null,"funder_award_id":"Code 001.","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G3331681876","display_name":null,"funder_award_id":"CAPES","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G3421998845","display_name":null,"funder_award_id":"Finance Code 001.","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G3457165266","display_name":null,"funder_award_id":"Brazil","funder_id":"https://openalex.org/F4320322749","funder_display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro"},{"id":"https://openalex.org/G3601516360","display_name":null,"funder_award_id":"Brazil","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G3883789297","display_name":null,"funder_award_id":"Code 00","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G3938906640","display_name":null,"funder_award_id":"(CAPES)","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G4175758497","display_name":null,"funder_award_id":"CAPES","funder_id":"https://openalex.org/F4320322749","funder_display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro"},{"id":"https://openalex.org/G4332196409","display_name":null,"funder_award_id":"Finance_Code_001","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G5079005330","display_name":null,"funder_award_id":"support","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G5139334624","display_name":null,"funder_award_id":"Coordena\u00e7\u00e3o","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G5511893307","display_name":null,"funder_award_id":"(CAPES)-Finance Code 001","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G5696276328","display_name":null,"funder_award_id":"Finance","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G6416464019","display_name":null,"funder_award_id":"20173C478N","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G692611148","display_name":null,"funder_award_id":"Brazil","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G7490553925","display_name":null,"funder_award_id":"Finance Code 001","funder_id":"https://openalex.org/F4320322749","funder_display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro"},{"id":"https://openalex.org/G8091430692","display_name":null,"funder_award_id":"(MIUR)","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G8837013128","display_name":null,"funder_award_id":"Code 0","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G963174003","display_name":null,"funder_award_id":"de Aperfei\u00e7","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"}],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322749","display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","ror":"https://ror.org/03kk0s825"},{"id":"https://openalex.org/F4320322874","display_name":"Universit\u00e0 degli Studi di Pavia","ror":"https://ror.org/00s6t1f81"},{"id":"https://openalex.org/F4320325035","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3159898731.pdf","grobid_xml":"https://content.openalex.org/works/W3159898731.grobid-xml"},"referenced_works_count":73,"referenced_works":["https://openalex.org/W413978409","https://openalex.org/W1499647280","https://openalex.org/W1508788122","https://openalex.org/W1552345433","https://openalex.org/W1591018827","https://openalex.org/W1633869374","https://openalex.org/W1978588246","https://openalex.org/W1985685378","https://openalex.org/W1995404822","https://openalex.org/W2004026774","https://openalex.org/W2014356541","https://openalex.org/W2017128321","https://openalex.org/W2023540108","https://openalex.org/W2066660517","https://openalex.org/W2070904851","https://openalex.org/W2071182807","https://openalex.org/W2080914886","https://openalex.org/W2080922987","https://openalex.org/W2090098022","https://openalex.org/W2104388595","https://openalex.org/W2111649122","https://openalex.org/W2112311198","https://openalex.org/W2112823474","https://openalex.org/W2117756735","https://openalex.org/W2141898902","https://openalex.org/W2146842127","https://openalex.org/W2164954534","https://openalex.org/W2170054433","https://openalex.org/W2173853623","https://openalex.org/W2212370034","https://openalex.org/W2283436362","https://openalex.org/W2287802986","https://openalex.org/W2290969910","https://openalex.org/W2341174028","https://openalex.org/W2395962256","https://openalex.org/W2405892775","https://openalex.org/W2488424576","https://openalex.org/W2499282314","https://openalex.org/W2516285675","https://openalex.org/W2531032231","https://openalex.org/W2582771730","https://openalex.org/W2582992792","https://openalex.org/W2592218863","https://openalex.org/W2600545102","https://openalex.org/W2766811357","https://openalex.org/W2798909945","https://openalex.org/W2890639593","https://openalex.org/W2899283552","https://openalex.org/W2915854813","https://openalex.org/W2963448313","https://openalex.org/W2963780177","https://openalex.org/W2973119841","https://openalex.org/W2980308966","https://openalex.org/W3004227146","https://openalex.org/W3004912322","https://openalex.org/W3030652498","https://openalex.org/W3033786537","https://openalex.org/W3040925541","https://openalex.org/W3043442870","https://openalex.org/W3048914250","https://openalex.org/W3102140816","https://openalex.org/W3105018376","https://openalex.org/W3107714133","https://openalex.org/W3118577024","https://openalex.org/W3135531418","https://openalex.org/W3192336450","https://openalex.org/W3194482401","https://openalex.org/W4210968171","https://openalex.org/W4210984103","https://openalex.org/W4224071957","https://openalex.org/W4236797139","https://openalex.org/W4238160257","https://openalex.org/W4312258136"],"related_works":["https://openalex.org/W3192166884","https://openalex.org/W3176354740","https://openalex.org/W3205592958","https://openalex.org/W3105778049","https://openalex.org/W3181221910","https://openalex.org/W3000696654","https://openalex.org/W2974003713","https://openalex.org/W3043552674","https://openalex.org/W3205904219","https://openalex.org/W3169732919","https://openalex.org/W3105691042","https://openalex.org/W2951061033","https://openalex.org/W2000186568","https://openalex.org/W2981114411","https://openalex.org/W3015646172","https://openalex.org/W3185809757","https://openalex.org/W3099688890","https://openalex.org/W3132239981","https://openalex.org/W1630910655"],"abstract_inverted_index":{"Dynamic":[0],"mode":[1],"decomposition":[2],"(DMD)":[3],"is":[4,123],"a":[5,17,30,38,74,129,136,142],"powerful":[6],"data-driven":[7],"method":[8,22],"used":[9],"to":[10,76,79,125,152,177],"extract":[11,80],"spatio-temporal":[12],"coherent":[13],"structures":[14],"that":[15,45],"dictate":[16],"given":[18],"dynamical":[19],"system.":[20],"The":[21,41,120],"consists":[23],"of":[24,114,160],"stacking":[25],"collected":[26],"temporal":[27],"snapshots":[28,46,102],"into":[29],"matrix":[31],"and":[32,88,141,156,168],"mapping":[33],"the":[34,48,53,100,106,112,149,154,165,169],"nonlinear":[35],"dynamics":[36,155],"using":[37],"linear":[39],"operator.":[40],"classical":[42],"procedure":[43],"considers":[44],"possess":[47],"same":[49,107],"dimensionality":[50],"for":[51,134,164],"all":[52],"observable":[54],"data.":[55],"However,":[56],"this":[57,98],"often":[58],"does":[59],"not":[60],"occur":[61],"in":[62,94,179],"numerical":[63],"simulations":[64],"with":[65,84],"adaptive":[66,101],"mesh":[67,86],"refinement/coarsening":[68],"schemes":[69],"(AMR/C).":[70],"This":[71],"paper":[72],"proposes":[73],"strategy":[75,122],"enable":[77],"DMD":[78,150],"features":[81],"from":[82],"observations":[83],"different":[85],"topologies":[87],"dimensions,":[89],"such":[90,117],"as":[91,118],"those":[92],"found":[93],"AMR/C":[95,127],"simulations.":[96],"For":[97],"purpose,":[99],"are":[103],"projected":[104],"onto":[105],"reference":[108],"function":[109],"space,":[110],"enabling":[111],"use":[113],"snapshot-based":[115],"methods":[116],"DMD.":[119],"present":[121],"applied":[124],"challenging":[126],"simulations:":[128],"continuous":[130],"diffusion-reaction":[131],"epidemiological":[132],"model":[133,167],"COVID-19,":[135],"density-driven":[137],"gravity":[138],"current":[139],"simulation,":[140],"bubble":[143,170],"rising":[144,171],"problem.":[145],"We":[146],"also":[147],"evaluate":[148,174],"efficiency":[151],"reconstruct":[153],"some":[157],"relevant":[158],"quantities":[159],"interest.":[161],"In":[162],"particular,":[163],"SEIRD":[166],"problem,":[172],"we":[173],"DMD's":[175],"ability":[176],"extrapolate":[178],"time":[180],"(short-time":[181],"future":[182],"estimates).":[183]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}