{"id":"https://openalex.org/W2247249145","doi":"https://doi.org/10.1137/15m104579x","title":"Adaptive Spectral Galerkin Methods with Dynamic Marking","display_name":"Adaptive Spectral Galerkin Methods with Dynamic Marking","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2247249145","doi":"https://doi.org/10.1137/15m104579x","mag":"2247249145"},"language":"en","primary_location":{"id":"doi:10.1137/15m104579x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m104579x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1511.00233","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007738501","display_name":"Claudio Canuto","orcid":"https://orcid.org/0000-0002-8481-0312"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]},{"id":"https://openalex.org/I4210142780","display_name":"Turin Polytechnic University","ror":"https://ror.org/042xrxv40","country_code":"UZ","type":"education","lineage":["https://openalex.org/I4210142780"]}],"countries":["IT","UZ"],"is_corresponding":false,"raw_author_name":"Claudio Canuto","raw_affiliation_strings":["Polytechnic University of Turin"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Polytechnic University of Turin","institution_ids":["https://openalex.org/I4210142780","https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040883953","display_name":"Ricardo H. Nochetto","orcid":"https://orcid.org/0009-0002-8895-1144"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ricardo H. Nochetto","raw_affiliation_strings":["University of Maryland - College Park"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland - College Park","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035602683","display_name":"Rob Stevenson","orcid":"https://orcid.org/0000-0001-7623-3060"},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Rob Stevenson","raw_affiliation_strings":["University of Amsterdam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Amsterdam","institution_ids":["https://openalex.org/I887064364"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079733575","display_name":"Marco Verani","orcid":"https://orcid.org/0000-0001-8015-4947"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco Verani","raw_affiliation_strings":["Polytechnic University of Milan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Polytechnic University of Milan","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00437158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"54","issue":"6","first_page":"3193","last_page":"3213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9987999796867371,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.998199999332428,"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/discretization","display_name":"Discretization","score":0.7821553945541382},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.7383456230163574},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7103506922721863},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6059427261352539},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5860259532928467},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.5597968101501465},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5553885698318481},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5347251892089844},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5289789438247681},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4100847542285919},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3999887704849243},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35313016176223755},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2546130418777466},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17764917016029358},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07610443234443665}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7821553945541382},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.7383456230163574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7103506922721863},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6059427261352539},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5860259532928467},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.5597968101501465},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5553885698318481},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5347251892089844},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5289789438247681},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4100847542285919},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3999887704849243},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35313016176223755},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2546130418777466},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17764917016029358},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07610443234443665},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":11,"locations":[{"id":"doi:10.1137/15m104579x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m104579x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1511.00233","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1511.00233","pdf_url":"https://arxiv.org/pdf/1511.00233","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":"","raw_type":"text"},{"id":"pmh:oai:arXiv.org:1511.00233","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1511.00233","pdf_url":"https://arxiv.org/pdf/1511.00233","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":"pmh:oai:dare.uva.nl:openaire/e4eac6f8-7d4d-4ffb-bb52-d9d6ab7d79b8","is_oa":true,"landing_page_url":"https://hdl.handle.net/11245.1/e4eac6f8-7d4d-4ffb-bb52-d9d6ab7d79b8","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"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":"Canuto, C, Nochetto, R H, Stevenson, R P & Verani, M 2016, 'Adaptive Spectral Galerkin Methods with Dynamic Marking', SIAM journal on numerical analysis, vol. 54, no. 6, pp. 3193\u20133213. https://doi.org/10.1137/15M104579X","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/e4eac6f8-7d4d-4ffb-bb52-d9d6ab7d79b8","is_oa":true,"landing_page_url":"http://hdl.handle.net/11245.1/e4eac6f8-7d4d-4ffb-bb52-d9d6ab7d79b8","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"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":"Canuto, C, Nochetto, R H, Stevenson, R P & Verani, M 2016, 'Adaptive Spectral Galerkin Methods with Dynamic Marking', SIAM journal on numerical analysis, vol. 54, no. 6, pp. 3193\u20133213. https://doi.org/10.1137/15M104579X","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dare.uva.nl:publications/e4eac6f8-7d4d-4ffb-bb52-d9d6ab7d79b8","is_oa":true,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/adaptive-spectral-galerkin-methods-with-dynamic-marking(e4eac6f8-7d4d-4ffb-bb52-d9d6ab7d79b8).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"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":"Canuto, C, Nochetto, R H, Stevenson, R P & Verani, M 2016, 'Adaptive Spectral Galerkin Methods with Dynamic Marking', SIAM journal on numerical analysis, vol. 54, no. 6, pp. 3193\u20133213. https://doi.org/10.1137/15M104579X","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:porto.polito.it:2663175","is_oa":false,"landing_page_url":"http://porto.polito.it/2663175/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0036-1429","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:re.public.polimi.it:11311/1002819","is_oa":true,"landing_page_url":"http://hdl.handle.net/11311/1002819","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:uvapub:oai:dare.uva.nl:publications/e4eac6f8-7d4d-4ffb-bb52-d9d6ab7d79b8","is_oa":true,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/adaptive-spectral-galerkin-methods-with-dynamic-marking(e4eac6f8-7d4d-4ffb-bb52-d9d6ab7d79b8).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"SIAM journal on numerical analysis, 54(6). Society for Industrial and Applied Mathematics Publications","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1511.00233","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1511.00233","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":"Preprint"},{"id":"mag:2247249145","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1511.00233","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1511.00233","pdf_url":"https://arxiv.org/pdf/1511.00233","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1681180284","display_name":null,"funder_award_id":"DMS-1411808","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1982444883","display_name":null,"funder_award_id":"DMS-1109325","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G432134336","display_name":"Adaptive Finite Element Methods for Multiscale Geometric PDE: Modeling, Analysis, and Computation","funder_award_id":"1109325","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4816005617","display_name":"Nonlinear Multiscale Phenomena: Analysis, Control, and Computation","funder_award_id":"1411808","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5698880408","display_name":null,"funder_award_id":"1109325","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G8195706232","display_name":null,"funder_award_id":"1411808","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1780050548","https://openalex.org/W1986514168","https://openalex.org/W1995479616","https://openalex.org/W2044959876","https://openalex.org/W2072811159","https://openalex.org/W2079275676","https://openalex.org/W2082131680","https://openalex.org/W2084672174","https://openalex.org/W2084743165","https://openalex.org/W2088666624","https://openalex.org/W2092037996","https://openalex.org/W2107813568","https://openalex.org/W2128792640","https://openalex.org/W2135421812","https://openalex.org/W2165345488","https://openalex.org/W2278907158","https://openalex.org/W3205607869","https://openalex.org/W4249401299"],"related_works":["https://openalex.org/W2157581798","https://openalex.org/W2065713338","https://openalex.org/W2751143909","https://openalex.org/W3016186755","https://openalex.org/W3039179570","https://openalex.org/W30647803","https://openalex.org/W1539940514","https://openalex.org/W1495120885","https://openalex.org/W1964182560","https://openalex.org/W1982792453","https://openalex.org/W2898145960","https://openalex.org/W2594541596","https://openalex.org/W2266890769","https://openalex.org/W2949565612","https://openalex.org/W2740558397","https://openalex.org/W764222646","https://openalex.org/W2885919413","https://openalex.org/W1521743526","https://openalex.org/W2941272352","https://openalex.org/W2084780726"],"abstract_inverted_index":{"The":[0],"convergence":[1,64],"and":[2,22,61],"optimality":[3],"theory":[4],"of":[5],"adaptive":[6],"Galerkin":[7,35],"methods":[8,36],"is":[9,38],"almost":[10],"exclusively":[11],"based":[12],"on":[13],"the":[14,70],"D\u00f6rfler":[15],"marking.":[16],"This":[17],"entails":[18],"a":[19,25,39,47,54,74],"fixed":[20],"parameter":[21],"leads":[23],"to":[24,73],"contraction":[26],"constant":[27],"bounded":[28],"below":[29],"away":[30],"from":[31],"zero.":[32],"For":[33],"spectral":[34],"this":[37],"severe":[40],"limitation":[41],"which":[42],"affects":[43],"performance.":[44],"We":[45],"present":[46],"dynamic":[48],"marking":[49],"strategy":[50],"that":[51],"allows":[52],"for":[53],"superlinear":[55],"relation":[56],"between":[57],"consecutive":[58],"discretization":[59],"errors,":[60],"show":[62],"exponential":[63],"with":[65],"linear":[66],"computational":[67],"complexity":[68],"whenever":[69],"solution":[71],"belongs":[72],"Gevrey":[75],"approximation":[76],"class.":[77]},"counts_by_year":[],"updated_date":"2026-07-11T18:08:03.149640","created_date":"2025-10-10T00:00:00"}