{"id":"https://openalex.org/W2754238062","doi":"https://doi.org/10.1137/16m1085024","title":"A Space-Time Finite Element Method for Neural Field Equations with Transmission Delays","display_name":"A Space-Time Finite Element Method for Neural Field Equations with Transmission Delays","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2754238062","doi":"https://doi.org/10.1137/16m1085024","mag":"2754238062"},"language":"en","primary_location":{"id":"doi:10.1137/16m1085024","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1085024","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"M\u00f3nika Polner","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M\u00f3nika Polner","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"J. J. W. van der Vegt","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. J. W. van der Vegt","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"S. A. van Gils","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. A. van Gils","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1753,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.49845542,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"39","issue":"5","first_page":"B797","last_page":"B818"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.19519999623298645,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.19519999623298645,"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"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.10360000282526016,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.07609999924898148,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.732699990272522},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6776999831199646},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6341000199317932},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.49079999327659607},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.4471000134944916},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4293999969959259},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.41749998927116394},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.3815999925136566}],"concepts":[{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.732699990272522},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6776999831199646},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6341000199317932},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5389000177383423},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.49079999327659607},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.4471000134944916},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4293999969959259},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.41749998927116394},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4023999869823456},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.3815999925136566},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.373199999332428},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.36809998750686646},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3375000059604645},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33219999074935913},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.31779998540878296},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.3075999915599823},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.27900001406669617},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2782000005245209},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.26739999651908875},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.26649999618530273},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2551000118255615}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/16m1085024","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1085024","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:ris.utwente.nl:openaire_cris_publications/074ef855-1b9f-4e16-b989-3708447aca3e","is_oa":false,"landing_page_url":"https://research.utwente.nl/en/publications/074ef855-1b9f-4e16-b989-3708447aca3e","pdf_url":null,"source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Polner, M, van der Vegt, J J W & van Gils, S A 2017, 'A Space-Time Finite Element Method for Neural Field Equations with Transmission Delays', SIAM journal on scientific computing, vol. 39, no. 5, pp. B797\u2013B818. https://doi.org/10.1137/16M1085024","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:publicatio.bibl.u-szeged.hu:12718","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400436","display_name":"SZTE Publicatio Repozit\u00f3rium (University of Szeged)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I227486990","host_organization_name":"University of Szeged","host_organization_lineage":["https://openalex.org/I227486990"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Cikk"},{"id":"pmh:oai:arXiv.org:1702.07585","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1702.07585","pdf_url":"https://arxiv.org/pdf/1702.07585","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"}],"best_oa_location":{"id":"pmh:oai:publicatio.bibl.u-szeged.hu:12718","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400436","display_name":"SZTE Publicatio Repozit\u00f3rium (University of Szeged)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I227486990","host_organization_name":"University of Szeged","host_organization_lineage":["https://openalex.org/I227486990"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Cikk"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1978399516","https://openalex.org/W1997909686","https://openalex.org/W2006819273","https://openalex.org/W2043971663","https://openalex.org/W2044270153","https://openalex.org/W2047391773","https://openalex.org/W2137658884","https://openalex.org/W2152876587","https://openalex.org/W2508983562","https://openalex.org/W2963234875"],"related_works":[],"abstract_inverted_index":{"We":[0,109],"present":[1],"and":[2,31,40,47,64],"analyze":[3],"a":[4,53,70,91,95,105],"new":[5],"space-time":[6,54,96],"finite":[7],"element":[8],"method":[9],"for":[10,81,99],"the":[11,29,37,41,111,114],"solution":[12],"of":[13,23,52,94,113],"neural":[14,83,100,119],"field":[15,84,120],"equations":[16],"with":[17,56,75,124],"transmission":[18],"delays.":[19],"The":[20,50],"numerical":[21],"treatment":[22],"these":[24],"systems":[25],"is":[26,69,79],"rare":[27],"in":[28,62,66],"literature":[30],"currently":[32],"has":[33],"several":[34,118],"restrictions":[35],"on":[36,117],"spatial":[38],"domain":[39],"functions":[42,58],"involved,":[43],"such":[44],"as":[45],"connectivity":[46],"delay":[48,101],"functions.":[49],"use":[51],"discretization,":[55],"basis":[57],"that":[59],"are":[60],"discontinuous":[61],"time":[63],"continuous":[65],"space":[67],"(dGcG-FEM),":[68],"natural":[71],"way":[72],"to":[73],"deal":[74],"space-dependent":[76],"delays,":[77],"which":[78],"important":[80],"many":[82],"applications.":[85],"In":[86],"this":[87],"paper":[88],"we":[89],"provide":[90],"detailed":[92],"description":[93],"dGcG-FEM":[97,115],"algorithm":[98,116],"equations,":[102],"including":[103,122],"an":[104,125],"priori":[106],"error":[107],"analysis.":[108],"demonstrate":[110],"application":[112],"models,":[121],"problems":[123],"inhomogeneous":[126],"kernel.":[127]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2017-09-25T00:00:00"}
