{"id":"https://openalex.org/W1891613869","doi":"https://doi.org/10.1109/ecctd.2015.7300123","title":"Techniques for reliable and accurate numerical solutions of memristor models","display_name":"Techniques for reliable and accurate numerical solutions of memristor models","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W1891613869","doi":"https://doi.org/10.1109/ecctd.2015.7300123","mag":"1891613869"},"language":"en","primary_location":{"id":"doi:10.1109/ecctd.2015.7300123","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecctd.2015.7300123","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Conference on Circuit Theory and Design (ECCTD)","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/A5023152110","display_name":"Alon Ascoli","orcid":"https://orcid.org/0000-0003-4026-9648"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"A. Ascoli","raw_affiliation_strings":["Institut f\u00fcr Grundlagen der, Elektrotechnik und Elektronik, TUD, Dresden, Germany","Institut f\u00fcr Grundlagen der Elektrotechnik und Elektronik, TUD, Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Grundlagen der, Elektrotechnik und Elektronik, TUD, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Institut f\u00fcr Grundlagen der Elektrotechnik und Elektronik, TUD, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012451668","display_name":"Ronald Tetzlaff","orcid":"https://orcid.org/0000-0001-7436-0103"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"R. Tetzlaff","raw_affiliation_strings":["Institut f\u00fcr Grundlagen der, Elektrotechnik und Elektronik, TUD, Dresden, Germany","Institut f\u00fcr Grundlagen der Elektrotechnik und Elektronik, TUD, Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Grundlagen der, Elektrotechnik und Elektronik, TUD, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Institut f\u00fcr Grundlagen der Elektrotechnik und Elektronik, TUD, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048440535","display_name":"Zden\u011bk Biolek","orcid":"https://orcid.org/0000-0003-3055-4621"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Z. Biolek","raw_affiliation_strings":["Microelectronics Department, Brno University of Technology, Brno, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microelectronics Department, Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069658742","display_name":"Dalibor Biolek","orcid":"https://orcid.org/0000-0002-7607-6146"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"D. Biolek","raw_affiliation_strings":["Microelectronics Department, Brno University of Technology, Brno, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microelectronics Department, Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083744068","display_name":"Viera Biolkov\u00e1","orcid":"https://orcid.org/0000-0003-2589-2722"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"V. Biolkova","raw_affiliation_strings":["Department of Radio Electronics, Brno University of Technology, Brno, Czech Republic","[Dept. of Radio Electronics, Brno University of Technology, Brno, Czech, Republic]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Radio Electronics, Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]},{"raw_affiliation_string":"[Dept. of Radio Electronics, Brno University of Technology, Brno, Czech, Republic]","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066848813","display_name":"Zden\u011bk Kolka","orcid":"https://orcid.org/0000-0002-7034-9430"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Z. Kolka","raw_affiliation_strings":["Department of Radio Electronics, Brno University of Technology, Brno, Czech Republic","[Dept. of Radio Electronics, Brno University of Technology, Brno, Czech, Republic]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Radio Electronics, Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]},{"raw_affiliation_string":"[Dept. of Radio Electronics, Brno University of Technology, Brno, Czech, Republic]","institution_ids":["https://openalex.org/I60587646"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2008,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57753635,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10502","display_name":"Advanced Memory and Neural Computing","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11601","display_name":"Neuroscience and Neural Engineering","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular 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/T10581","display_name":"Neural dynamics and brain function","score":0.9902999997138977,"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/memristor","display_name":"Memristor","score":0.8652335405349731},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5389220714569092},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5002930164337158},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.46958866715431213},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4579036235809326},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4478941857814789},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4353538155555725},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4146585762500763},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31417322158813477},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15237483382225037}],"concepts":[{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.8652335405349731},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5389220714569092},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5002930164337158},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.46958866715431213},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4579036235809326},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4478941857814789},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4353538155555725},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4146585762500763},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31417322158813477},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15237483382225037},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ecctd.2015.7300123","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecctd.2015.7300123","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Conference on Circuit Theory and Design (ECCTD)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1975229527","https://openalex.org/W1986273360","https://openalex.org/W2064756415","https://openalex.org/W2114307990","https://openalex.org/W4235970972"],"related_works":["https://openalex.org/W4229452466","https://openalex.org/W2966276069","https://openalex.org/W2304829496","https://openalex.org/W2358307108","https://openalex.org/W3031124155","https://openalex.org/W2463286374","https://openalex.org/W2999616507","https://openalex.org/W4392238179","https://openalex.org/W2029287765","https://openalex.org/W2043671984"],"abstract_inverted_index":{"This":[0],"work":[1],"presents":[2],"techniques":[3,180],"for":[4,40],"an":[5],"accurate":[6],"numerical":[7,44,164,187],"simulation":[8,81,153,158],"of":[9,15,23,43,53,57,95,150,170,177,200,204],"memristor":[10],"models.":[11],"In":[12],"physics-based":[13],"models":[14],"extended":[16],"memristors":[17,205],"under":[18],"indirect":[19],"excitation,":[20],"the":[21,24,41,47,59,70,73,80,83,89,99,115,119,125,129,141,147,151,175,178,201],"solution":[22],"state":[25,60,90,100,116,193],"equations":[26],"is":[27,67,86],"constrained":[28],"to":[29,46,140],"lie":[30,103],"on":[31,69],"specific":[32],"manifolds":[33],"at":[34],"all":[35],"times.":[36],"A":[37],"possible":[38,182],"algorithm":[39],"determination":[42],"solutions":[45],"algebraic":[48,84],"differential":[49,76],"equation":[50,77],"set":[51,139],"typical":[52],"these":[54],"systems":[55],"consists":[56],"augmenting":[58],"vector":[61],"with":[62,136],"a":[63,105,108,133,156,162,168,197],"novel":[64],"variable":[65],"which":[66],"invariant":[68],"manifold.":[71],"Solving":[72],"resulting":[74,190],"ordinary":[75],"problem":[78],"simplifies":[79],"since":[82],"constraint":[85],"embedded":[87],"into":[88],"equations.":[91],"Regarding":[92],"mathematical":[93],"descriptions":[94],"generic":[96],"memristors,":[97],"where":[98,114],"may":[101],"only":[102],"within":[104],"closed":[106],"set,":[107],"procedure":[109],"identifying":[110],"each":[111],"undesired":[112],"event":[113],"either":[117],"exceeds":[118],"upper":[120],"bound":[121],"or":[122],"goes":[123],"below":[124],"lower":[126],"one,":[127],"stopping":[128],"current":[130],"simulation,":[131],"starting":[132],"new":[134],"one":[135],"initial":[137],"condition":[138],"violated":[142],"limit,":[143],"and":[144],"finally":[145],"concatenating":[146],"time":[148],"series":[149],"various":[152],"sections,":[154],"ensures":[155],"well-behaved":[157,192],"run,":[159],"and,":[160],"consequently,":[161],"reliable":[163],"solution.":[165],"Examples":[166],"from":[167],"number":[169],"case":[171],"studies":[172],"demonstrate":[173],"that":[174],"adoption":[176],"proposed":[179],"prevents":[181],"issues":[183],"emerging":[184],"in":[185,191,206],"classical":[186],"integration":[188],"methodologies,":[189],"solutions,":[194],"thus":[195],"allowing":[196],"meaningful":[198],"exploration":[199],"full":[202],"potential":[203],"electronic":[207],"circuit":[208],"design.":[209]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
