{"id":"https://openalex.org/W2050964264","doi":"https://doi.org/10.1007/s00211-005-0659-5","title":"A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local dirichlet problems","display_name":"A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local dirichlet problems","publication_year":2005,"publication_date":"2005-12-12","ids":{"openalex":"https://openalex.org/W2050964264","doi":"https://doi.org/10.1007/s00211-005-0659-5","mag":"2050964264"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-005-0659-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-005-0659-5","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/A5057528055","display_name":"Robert Eymard","orcid":"https://orcid.org/0000-0002-6035-0104"},"institutions":[{"id":"https://openalex.org/I4210152323","display_name":"Laboratoire Ville Mobilit\u00e9 Transport","ror":"https://ror.org/056vbnz12","country_code":"FR","type":"facility","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152323","https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Robert Eymard","raw_affiliation_strings":["Universit\u00e9 de Marne-la-Vall\u00e9e 5, boulevard Descartes Champs-sur-Marne, 77454, Marne La Vall\u00e9e Cedex 2","Universit\u00e9 de Marne-la-Vall\u00e9e 5, Marne La Vall\u00e9e Cedex 2 77454#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Marne-la-Vall\u00e9e 5, boulevard Descartes Champs-sur-Marne, 77454, Marne La Vall\u00e9e Cedex 2","institution_ids":["https://openalex.org/I4210152323"]},{"raw_affiliation_string":"Universit\u00e9 de Marne-la-Vall\u00e9e 5, Marne La Vall\u00e9e Cedex 2 77454#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091225872","display_name":"J\u00fcrgen Fuhrmann","orcid":"https://orcid.org/0000-0003-4432-2434"},"institutions":[{"id":"https://openalex.org/I4210092021","display_name":"Weierstrass Institute for Applied Analysis and Stochastics","ror":"https://ror.org/00h1x4t21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210092021"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J\u00fcrgen Fuhrmann","raw_affiliation_strings":["Weierstra\u00df Institut f\u00fcr Angewandte Analysis und Stochastik, Mohrenstra\u00dfe 39, 10117, Berlin","Weierstra\u03b2 Institut f\u00fcr Angewandte Analysis und Stochastik, Berlin 10117#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Weierstra\u00df Institut f\u00fcr Angewandte Analysis und Stochastik, Mohrenstra\u00dfe 39, 10117, Berlin","institution_ids":["https://openalex.org/I4210092021"]},{"raw_affiliation_string":"Weierstra\u03b2 Institut f\u00fcr Angewandte Analysis und Stochastik, Berlin 10117#TAB#","institution_ids":["https://openalex.org/I4210092021"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045919375","display_name":"Klaus G\u00e4rtner","orcid":null},"institutions":[{"id":"https://openalex.org/I4210092021","display_name":"Weierstrass Institute for Applied Analysis and Stochastics","ror":"https://ror.org/00h1x4t21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210092021"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Klaus G\u00e4rtner","raw_affiliation_strings":["Weierstra\u00df Institut f\u00fcr Angewandte Analysis und Stochastik, Mohrenstra\u00dfe 39, 10117, Berlin","Weierstra\u03b2 Institut f\u00fcr Angewandte Analysis und Stochastik, Berlin 10117#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Weierstra\u00df Institut f\u00fcr Angewandte Analysis und Stochastik, Mohrenstra\u00dfe 39, 10117, Berlin","institution_ids":["https://openalex.org/I4210092021"]},{"raw_affiliation_string":"Weierstra\u03b2 Institut f\u00fcr Angewandte Analysis und Stochastik, Berlin 10117#TAB#","institution_ids":["https://openalex.org/I4210092021"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057528055"],"corresponding_institution_ids":["https://openalex.org/I4210152323"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.8248,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.92719334,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"102","issue":"3","first_page":"463","last_page":"495"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9988999962806702,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9988999962806702,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9988999962806702,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9941999912261963,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.876899003982544},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6336503028869629},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6066784858703613},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.6056671738624573},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.5970284342765808},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5878439545631409},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4730723798274994},{"id":"https://openalex.org/keywords/dirichlet-problem","display_name":"Dirichlet problem","score":0.46414223313331604},{"id":"https://openalex.org/keywords/elliptic-boundary-value-problem","display_name":"Elliptic boundary value problem","score":0.4600823223590851},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.45666152238845825},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4292793571949005},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.41363537311553955},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3875296115875244},{"id":"https://openalex.org/keywords/free-boundary-problem","display_name":"Free boundary problem","score":0.32684046030044556},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.061488449573516846}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.876899003982544},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6336503028869629},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6066784858703613},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.6056671738624573},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.5970284342765808},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5878439545631409},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4730723798274994},{"id":"https://openalex.org/C2779560616","wikidata":"https://www.wikidata.org/wiki/Q1192869","display_name":"Dirichlet problem","level":3,"score":0.46414223313331604},{"id":"https://openalex.org/C94242865","wikidata":"https://www.wikidata.org/wiki/Q5365788","display_name":"Elliptic boundary value problem","level":4,"score":0.4600823223590851},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.45666152238845825},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4292793571949005},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.41363537311553955},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3875296115875244},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.32684046030044556},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.061488449573516846},{"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/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00211-005-0659-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-005-0659-5","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"},{"id":"pmh:doi:10.20347/wias.preprint.966","is_oa":false,"landing_page_url":"https://archive.wias-berlin.de/receive/wias_mods_00001298?XSL.Transformer=mods","pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":null,"raw_type":"preprint"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.567.5178","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.567.5178","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://emis.maths.adelaide.edu.au/journals/AMUC/_vol-76/_no_1/_eymard/eymard.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W656657393","https://openalex.org/W1549748890","https://openalex.org/W1555674425","https://openalex.org/W1967804648","https://openalex.org/W1971447225","https://openalex.org/W1973903805","https://openalex.org/W1977948239","https://openalex.org/W2037881449","https://openalex.org/W2053987804","https://openalex.org/W2065725998","https://openalex.org/W2067616800","https://openalex.org/W2090963365","https://openalex.org/W2091930697","https://openalex.org/W2150347258","https://openalex.org/W2778033595","https://openalex.org/W2978957278"],"related_works":["https://openalex.org/W2745056778","https://openalex.org/W2963644996","https://openalex.org/W3047522598","https://openalex.org/W4299860049","https://openalex.org/W2982675636","https://openalex.org/W2804722144","https://openalex.org/W2988201549","https://openalex.org/W900310196","https://openalex.org/W2040555607","https://openalex.org/W2538489900"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}