{"id":"https://openalex.org/W2099307259","doi":"https://doi.org/10.1007/s00211-008-0165-7","title":"A posteriori error estimates and maximal regularity for approximations of fully nonlinear parabolic problems in Banach spaces","display_name":"A posteriori error estimates and maximal regularity for approximations of fully nonlinear parabolic problems in Banach spaces","publication_year":2008,"publication_date":"2008-07-24","ids":{"openalex":"https://openalex.org/W2099307259","doi":"https://doi.org/10.1007/s00211-008-0165-7","mag":"2099307259"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-008-0165-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-008-0165-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079880245","display_name":"Eduardo Cuesta","orcid":"https://orcid.org/0000-0002-7508-6545"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"E. Cuesta","raw_affiliation_strings":["Department of Applied Mathematics, University of Valladolid, E.U.P., C/Francisco Mendizabal 1, 47014, Valladolid, Spain","Department of Applied Mathematics, University of Valladolid, Valladolid, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Valladolid, E.U.P., C/Francisco Mendizabal 1, 47014, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]},{"raw_affiliation_string":"Department of Applied Mathematics, University of Valladolid, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105690036","display_name":"Ch. Makridakis","orcid":null},"institutions":[{"id":"https://openalex.org/I4210129470","display_name":"FORTH Institute of Applied and Computational Mathematics","ror":"https://ror.org/02n2yp822","country_code":"GR","type":"facility","lineage":["https://openalex.org/I4210129470","https://openalex.org/I8901234"]},{"id":"https://openalex.org/I142617266","display_name":"University of Crete","ror":"https://ror.org/00dr28g20","country_code":"GR","type":"education","lineage":["https://openalex.org/I142617266"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Ch. Makridakis","raw_affiliation_strings":["Department of Applied Mathematics, University of Crete, 71409, Heraklion-Crete, Greece","Institute of Applied and Computational Mathematics, FORTH, 71110, Heraklion-Crete, Greece","Institute of Applied and Computational Mathematics, FORTH, Heraklion-Crete, Greece","Department of Applied Mathematics, University of Crete, Heraklion-Crete, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Crete, 71409, Heraklion-Crete, Greece","institution_ids":["https://openalex.org/I142617266"]},{"raw_affiliation_string":"Institute of Applied and Computational Mathematics, FORTH, 71110, Heraklion-Crete, Greece","institution_ids":["https://openalex.org/I4210129470"]},{"raw_affiliation_string":"Institute of Applied and Computational Mathematics, FORTH, Heraklion-Crete, Greece","institution_ids":["https://openalex.org/I4210129470"]},{"raw_affiliation_string":"Department of Applied Mathematics, University of Crete, Heraklion-Crete, Greece","institution_ids":["https://openalex.org/I142617266"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5105690036"],"corresponding_institution_ids":["https://openalex.org/I142617266","https://openalex.org/I4210129470"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3824,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.67108148,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"110","issue":"3","first_page":"257","last_page":"275"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9222549796104431},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.7599018812179565},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6332818269729614},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6130456328392029},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5229904651641846},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.499950647354126},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.49208420515060425},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4605589807033539},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42114585638046265},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.3314586281776428},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.050803571939468384}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9222549796104431},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7599018812179565},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6332818269729614},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6130456328392029},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5229904651641846},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.499950647354126},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.49208420515060425},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4605589807033539},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42114585638046265},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.3314586281776428},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.050803571939468384},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-008-0165-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-008-0165-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W48006941","https://openalex.org/W312422936","https://openalex.org/W1506032630","https://openalex.org/W1540580484","https://openalex.org/W1968306057","https://openalex.org/W1976338762","https://openalex.org/W2013595266","https://openalex.org/W2022936648","https://openalex.org/W2037701755","https://openalex.org/W2044300169","https://openalex.org/W2045453641","https://openalex.org/W2067951086","https://openalex.org/W2068432368","https://openalex.org/W2084874908","https://openalex.org/W4232326701"],"related_works":["https://openalex.org/W2009711572","https://openalex.org/W2064416388","https://openalex.org/W2365810470","https://openalex.org/W1674877062","https://openalex.org/W1981367860","https://openalex.org/W2158188297","https://openalex.org/W2039043967","https://openalex.org/W2501406218","https://openalex.org/W2805235704","https://openalex.org/W2963800366"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
