{"id":"https://openalex.org/W2803998477","doi":"https://doi.org/10.1515/cmam-2018-0011","title":"An Eclectic View on Numerical Methods for PDEs: Presentation of the Special Issue \u201cAdvanced Numerical Methods: Recent Developments, Analysis and Applications\u201d","display_name":"An Eclectic View on Numerical Methods for PDEs: Presentation of the Special Issue \u201cAdvanced Numerical Methods: Recent Developments, Analysis and Applications\u201d","publication_year":2018,"publication_date":"2018-05-16","ids":{"openalex":"https://openalex.org/W2803998477","doi":"https://doi.org/10.1515/cmam-2018-0011","mag":"2803998477"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2018-0011","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2018-0011","pdf_url":"https://www.degruyter.com/downloadpdf/journals/cmam/18/3/article-p323.pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.degruyter.com/downloadpdf/journals/cmam/18/3/article-p323.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063675442","display_name":"Paola F. Antonietti","orcid":"https://orcid.org/0000-0002-2138-3878"},"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":"Paola F. Antonietti","raw_affiliation_strings":["MOX \u2013 Laboratory for Modeling and Scientific Computing , Dipartimento di Matematica , Politecnico di Milano , Piazza Leonardo da Vinci 32, 20133 Milano , Italy"],"affiliations":[{"raw_affiliation_string":"MOX \u2013 Laboratory for Modeling and Scientific Computing , Dipartimento di Matematica , Politecnico di Milano , Piazza Leonardo da Vinci 32, 20133 Milano , Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075602113","display_name":"J\u00e9r\u00f4me Droniou","orcid":"https://orcid.org/0000-0002-3339-3053"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"J\u00e9r\u00f4me Droniou","raw_affiliation_strings":["School of Mathematical Sciences , Monash University , Clayton , Victoria 3800 , Australia"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences , Monash University , Clayton , Victoria 3800 , Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057528055","display_name":"Robert Eymard","orcid":"https://orcid.org/0000-0002-6035-0104"},"institutions":[{"id":"https://openalex.org/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Robert Eymard","raw_affiliation_strings":["Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es , UMR 8050 , Universit\u00e9 Paris-Est , 5 Boulevard Descartes, Champs-sur-Marne 77454 Marne-la-Vall\u00e9e Cedex 2 , France"],"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es , UMR 8050 , Universit\u00e9 Paris-Est , 5 Boulevard Descartes, Champs-sur-Marne 77454 Marne-la-Vall\u00e9e Cedex 2 , France","institution_ids":["https://openalex.org/I4210144844"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075602113"],"corresponding_institution_ids":["https://openalex.org/I56590836"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08576052,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"3","first_page":"323","last_page":"325"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9991999864578247,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9983999729156494,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9969000220298767,"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/presentation","display_name":"Presentation (obstetrics)","score":0.616054892539978},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5961739420890808},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5342326164245605},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4896407723426819},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.35853707790374756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3562677204608917},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13491210341453552},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.10113844275474548}],"concepts":[{"id":"https://openalex.org/C2777601897","wikidata":"https://www.wikidata.org/wiki/Q3409113","display_name":"Presentation (obstetrics)","level":2,"score":0.616054892539978},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5961739420890808},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5342326164245605},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4896407723426819},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35853707790374756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3562677204608917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13491210341453552},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.10113844275474548},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1515/cmam-2018-0011","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2018-0011","pdf_url":"https://www.degruyter.com/downloadpdf/journals/cmam/18/3/article-p323.pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:monash.edu:publications/b94477f5-2223-4761-9fab-231912449360","is_oa":true,"landing_page_url":"https://research.monash.edu/en/publications/b94477f5-2223-4761-9fab-231912449360","pdf_url":null,"source":{"id":"https://openalex.org/S4306402625","display_name":"Monash University Research Portal (Monash University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I56590836","host_organization_name":"Monash University","host_organization_lineage":["https://openalex.org/I56590836"],"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":"Antonietti , P F , Droniou , J &amp; Eymard , R 2018 , ' An eclectic view on numerical methods for PDEs : Presentation of the special issue \"advanced Numerical Methods: Recent Developments, Analysis and Applications\" ' , Computational Methods in Applied Mathematics , vol. 18 , no. 3 , pp. 323-325 . https://doi.org/10.1515/cmam-2018-0011","raw_type":"article"},{"id":"pmh:oai:re.public.polimi.it:11311/1054745","is_oa":true,"landing_page_url":"https://www.degruyter.com/view/j/cmam.ahead-of-print/cmam-2018-0011/cmam-2018-0011.xml","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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1515/cmam-2018-0011","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2018-0011","pdf_url":"https://www.degruyter.com/downloadpdf/journals/cmam/18/3/article-p323.pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2803998477.pdf","grobid_xml":"https://content.openalex.org/works/W2803998477.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W316469091","https://openalex.org/W1998894128","https://openalex.org/W2008950377","https://openalex.org/W2101148344","https://openalex.org/W2133041109","https://openalex.org/W2155718237","https://openalex.org/W2168914934","https://openalex.org/W2617453702","https://openalex.org/W2738063727","https://openalex.org/W2769107295","https://openalex.org/W2772149576","https://openalex.org/W2792767654","https://openalex.org/W2810572057","https://openalex.org/W2885405756","https://openalex.org/W2962857345","https://openalex.org/W2964056873","https://openalex.org/W2964339352","https://openalex.org/W4205793979","https://openalex.org/W4250332546","https://openalex.org/W4299798247"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W4387426029","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W4285308861"],"abstract_inverted_index":{"The":[0,68,142],"design":[1],"and":[2,34,56,66,138,156],"analysis":[3,26],"of":[4,15,43,57,61,125,128,134],"numerical":[5,25,77],"methods":[6],"for":[7,27,79,84,91],"partial":[8],"differential":[9],"equations":[10],"(PDEs)":[11],"is":[12],"a":[13,41],"field":[14],"constant":[16],"growth.":[17],"It":[18],"seems":[19],"that":[20,36,47],"the":[21,29,49,58,82,88,106,123,129],"more":[22,30],"we":[23,31],"develop":[24],"PDEs,":[28],"face":[32],"questions":[33,53],"problems":[35,150],"require":[37],"additional":[38],"developments":[39],"-maybe":[40],"consequence":[42],"an":[44],"increased":[45],"knowledge":[46],"gives":[48],"tools":[50],"to":[51,108],"tackle":[52],"previously":[54],"inaccessible":[55],"growing":[59],"place":[60],"scientific":[62],"computing":[63],"in":[64,148],"Physics":[65],"Engineering.":[67],"aspects":[69],"currently":[70],"taken":[71],"into":[72],"account":[73],"when":[74],"dealing":[75],"with":[76,97,112],"schemes":[78],"PDEs":[80],"include:":[81],"need":[83],"geometrical":[85],"flexibility,":[86],"as":[87,132],"meshes":[89],"available":[90],"certain":[92],"applications":[93],"may":[94],"comprise":[95],"cells":[96],"complicated":[98],"shapes,":[99],"possibly":[100],"degenerate":[101],"faces":[102],"or":[103,120,136],"bad":[104],"aspect-ratios;":[105],"capacity":[107],"handle":[109],"complex":[110],"models,":[111],"non-linearities,":[113],"couplings,":[114],"strong":[115],"heterogeneities,":[116],"weakly":[117],"regular":[118],"data":[119],"even":[121],"singularities;":[122],"respect":[124],"physical":[126],"properties":[127],"model,":[130],"such":[131],"conservation":[133],"energy":[135],"mass,":[137],"proper":[139],"asymptotic":[140],"behaviour.":[141],"above":[143],"mentioned":[144],"challenges":[145],"are":[146],"ubiquitous":[147],"practical":[149],"arising":[151],"from":[152],"Engineering,":[153],"Life":[154],"Sciences,":[155],"Industry.":[157]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
