{"id":"https://openalex.org/W3109274077","doi":"https://doi.org/10.1109/icstcc50638.2020.9259762","title":"Accuracy Study in Numerical Simulations to Stochastic Neural Field Equations","display_name":"Accuracy Study in Numerical Simulations to Stochastic Neural Field Equations","publication_year":2020,"publication_date":"2020-10-08","ids":{"openalex":"https://openalex.org/W3109274077","doi":"https://doi.org/10.1109/icstcc50638.2020.9259762","mag":"3109274077"},"language":"en","primary_location":{"id":"doi:10.1109/icstcc50638.2020.9259762","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icstcc50638.2020.9259762","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 24th International Conference on System Theory, Control and Computing (ICSTCC)","raw_type":"proceedings-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/A5041363585","display_name":"Maria V. Kulikova","orcid":"https://orcid.org/0000-0001-8470-9831"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Maria V. Kulikova","raw_affiliation_strings":["CEMAT, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Lisbon, Portugal"],"affiliations":[{"raw_affiliation_string":"CEMAT, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Lisbon, Portugal","institution_ids":["https://openalex.org/I141596103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023299790","display_name":"Gennady Yu. Kulikov","orcid":"https://orcid.org/0000-0002-1663-6009"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Gennady Yu. Kulikov","raw_affiliation_strings":["CEMAT, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Lisbon, Portugal"],"affiliations":[{"raw_affiliation_string":"CEMAT, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Lisbon, Portugal","institution_ids":["https://openalex.org/I141596103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020664260","display_name":"Pedro M. Lima","orcid":"https://orcid.org/0000-0001-6255-3303"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Pedro M. Lima","raw_affiliation_strings":["CEMAT, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Lisbon, Portugal"],"affiliations":[{"raw_affiliation_string":"CEMAT, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Lisbon, Portugal","institution_ids":["https://openalex.org/I141596103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041363585"],"corresponding_institution_ids":["https://openalex.org/I141596103"],"apc_list":null,"apc_paid":null,"fwci":0.3346,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.56479606,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"254","last_page":"261"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9995999932289124,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9923999905586243,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.6094789505004883},{"id":"https://openalex.org/keywords/numerical-partial-differential-equations","display_name":"Numerical partial differential equations","score":0.5633624792098999},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equation","display_name":"Stochastic partial differential equation","score":0.5517300963401794},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.5447221398353577},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.523082971572876},{"id":"https://openalex.org/keywords/euler-method","display_name":"Euler method","score":0.522397518157959},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5108370780944824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4986100196838379},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4944593906402588},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.4709257483482361},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4423179626464844},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.43434202671051025},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4297485947608948},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4286659359931946},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.40267905592918396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37104159593582153},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2669828236103058},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.11419671773910522},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07312366366386414}],"concepts":[{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.6094789505004883},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.5633624792098999},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.5517300963401794},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.5447221398353577},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.523082971572876},{"id":"https://openalex.org/C75380026","wikidata":"https://www.wikidata.org/wiki/Q868454","display_name":"Euler method","level":3,"score":0.522397518157959},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5108370780944824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4986100196838379},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4944593906402588},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.4709257483482361},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4423179626464844},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.43434202671051025},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4297485947608948},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4286659359931946},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.40267905592918396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37104159593582153},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2669828236103058},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.11419671773910522},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07312366366386414},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icstcc50638.2020.9259762","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icstcc50638.2020.9259762","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 24th International Conference on System Theory, Control and Computing (ICSTCC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1584575922","https://openalex.org/W1992476998","https://openalex.org/W1996559499","https://openalex.org/W2004400179","https://openalex.org/W2012330198","https://openalex.org/W2016354087","https://openalex.org/W2029374903","https://openalex.org/W2072964096","https://openalex.org/W2106645998","https://openalex.org/W2122992003","https://openalex.org/W2144903371","https://openalex.org/W2164011611","https://openalex.org/W2292266163","https://openalex.org/W2962910210","https://openalex.org/W2982474940","https://openalex.org/W2982508821","https://openalex.org/W2986718678","https://openalex.org/W3099747905","https://openalex.org/W6634926218","https://openalex.org/W6769986539"],"related_works":["https://openalex.org/W35059990","https://openalex.org/W15513008","https://openalex.org/W50808342","https://openalex.org/W26430536","https://openalex.org/W28015067","https://openalex.org/W21975096","https://openalex.org/W1144018","https://openalex.org/W38126327","https://openalex.org/W16048315","https://openalex.org/W31899843"],"abstract_inverted_index":{"This":[0],"paper":[1],"elaborates":[2],"accuracy":[3],"issues":[4],"in":[5,21,78],"numerical":[6,29,87],"solutions":[7],"to":[8,35,56,89],"Stochastic":[9,62],"Neural":[10],"Field":[11],"Equations":[12,64],"(SNFEs)":[13],"with":[14,132],"the":[15,22,36,49,72,90,97,107,110,116],"infinite":[16],"signal":[17],"transmission":[18],"speed":[19],"and":[20,94],"presence":[23],"of":[24,38,42,53,60,75,99,109,115,120],"external":[25,133],"stimuli":[26],"input.":[27],"The":[28,113],"integration":[30],"method":[31],"under":[32],"study":[33],"belongs":[34],"family":[37],"Galerkin-sort":[39],"spectral":[40],"approximations":[41],"one-dimensional":[43],"SNFEs":[44],"considered":[45],"here.":[46],"It":[47],"reduces":[48],"partial":[50],"integro-differential":[51],"fashion":[52],"such":[54,100],"models":[55],"a":[57,85],"large":[58],"system":[59],"ordinary":[61],"Differential":[63],"(SDEs).":[65],"Eventually,":[66],"these":[67],"SDEs":[68],"are":[69],"solved":[70],"by":[71],"Euler-Maruyama":[73],"scheme":[74],"order":[76],"0.5":[77],"MATLAB.":[79],"In":[80],"this":[81],"paper,":[82],"we":[83],"devise":[84],"different-order":[86],"solution":[88,111],"SNFE":[91,131],"at":[92,96],"hand":[93],"look":[95],"difference":[98],"stochastic":[101],"simulations":[102],"on":[103,118],"average":[104],"for":[105],"evaluating":[106],"consistency":[108],"derived.":[112],"effect":[114],"SDE-numerical-integration-accuracy":[117],"formation":[119],"high":[121],"neuron":[122],"activity":[123],"regions":[124],"(so-called":[125],"\"bumps\")":[126],"is":[127],"discussed":[128],"within":[129],"one":[130],"stimuli.":[134]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
