{"id":"https://openalex.org/W2006184973","doi":"https://doi.org/10.1109/mixdes.2014.6872202","title":"Convergence of Green's function heat equation solutions in electronic nanostructures","display_name":"Convergence of Green's function heat equation solutions in electronic nanostructures","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2006184973","doi":"https://doi.org/10.1109/mixdes.2014.6872202","mag":"2006184973"},"language":"en","primary_location":{"id":"doi:10.1109/mixdes.2014.6872202","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mixdes.2014.6872202","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 Proceedings of the 21st International Conference Mixed Design of Integrated Circuits and Systems (MIXDES)","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/A5022178059","display_name":"Marcin Janicki","orcid":"https://orcid.org/0000-0002-7628-3858"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marcin Janicki","raw_affiliation_strings":["Department of Microelectronics and Computer Science, Lodz University of Technology, Lodz, Poland","Dept. of Microelectron. & Comput. Sci., Lodz Univ. of Technol., Lodz, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Microelectronics and Computer Science, Lodz University of Technology, Lodz, Poland","institution_ids":["https://openalex.org/I188884621"]},{"raw_affiliation_string":"Dept. of Microelectron. & Comput. Sci., Lodz Univ. of Technol., Lodz, Poland","institution_ids":["https://openalex.org/I188884621"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090748942","display_name":"Mariusz Zubert","orcid":"https://orcid.org/0000-0001-7924-7724"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Mariusz Zubert","raw_affiliation_strings":["Department of Microelectronics and Computer Science, Lodz University of Technology, Lodz, Poland","Dept. of Microelectron. & Comput. Sci., Lodz Univ. of Technol., Lodz, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Microelectronics and Computer Science, Lodz University of Technology, Lodz, Poland","institution_ids":["https://openalex.org/I188884621"]},{"raw_affiliation_string":"Dept. of Microelectron. & Comput. Sci., Lodz Univ. of Technol., Lodz, Poland","institution_ids":["https://openalex.org/I188884621"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085564117","display_name":"Andrzej Napieralski","orcid":"https://orcid.org/0000-0002-3844-3435"},"institutions":[{"id":"https://openalex.org/I188884621","display_name":"Lodz University of Technology","ror":"https://ror.org/00s8fpf52","country_code":"PL","type":"education","lineage":["https://openalex.org/I188884621"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Andrzej Napieralski","raw_affiliation_strings":["Department of Microelectronics and Computer Science, Lodz University of Technology, Lodz, Poland","Dept. of Microelectron. & Comput. Sci., Lodz Univ. of Technol., Lodz, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Microelectronics and Computer Science, Lodz University of Technology, Lodz, Poland","institution_ids":["https://openalex.org/I188884621"]},{"raw_affiliation_string":"Dept. of Microelectron. & Comput. Sci., Lodz Univ. of Technol., Lodz, Poland","institution_ids":["https://openalex.org/I188884621"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0008,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7378825,"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":"285","last_page":"288"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11277","display_name":"Thermal properties of materials","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11277","display_name":"Thermal properties of materials","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13531","display_name":"Surface and Thin Film Phenomena","score":0.977400004863739,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10083","display_name":"Graphene research and applications","score":0.9745000004768372,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7955834865570068},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.6475139856338501},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6305156350135803},{"id":"https://openalex.org/keywords/electronics","display_name":"Electronics","score":0.5977998375892639},{"id":"https://openalex.org/keywords/greens-function","display_name":"Green's function","score":0.5881085395812988},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5649738907814026},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4214915931224823},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3961033225059509},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3590300679206848},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3565707206726074},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.324598491191864},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31728455424308777},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16290724277496338},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15451174974441528},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08926397562026978},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.07878553867340088}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7955834865570068},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.6475139856338501},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6305156350135803},{"id":"https://openalex.org/C138331895","wikidata":"https://www.wikidata.org/wiki/Q11650","display_name":"Electronics","level":2,"score":0.5977998375892639},{"id":"https://openalex.org/C132312353","wikidata":"https://www.wikidata.org/wiki/Q378435","display_name":"Green's function","level":3,"score":0.5881085395812988},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5649738907814026},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4214915931224823},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3961033225059509},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3590300679206848},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3565707206726074},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.324598491191864},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31728455424308777},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16290724277496338},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15451174974441528},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08926397562026978},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.07878553867340088},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mixdes.2014.6872202","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mixdes.2014.6872202","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 Proceedings of the 21st International Conference Mixed Design of Integrated Circuits and Systems (MIXDES)","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":8,"referenced_works":["https://openalex.org/W2059586970","https://openalex.org/W2123861683","https://openalex.org/W2135866753","https://openalex.org/W2170700831","https://openalex.org/W2298275283","https://openalex.org/W2576291317","https://openalex.org/W3149443718","https://openalex.org/W4238592906"],"related_works":["https://openalex.org/W2046435967","https://openalex.org/W4231775656","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2355938171","https://openalex.org/W2780079842","https://openalex.org/W2115091349"],"abstract_inverted_index":{"This":[0],"paper":[1],"compares":[2],"Green's":[3,16],"function":[4,17],"solutions":[5],"of":[6,26,40,42,48],"the":[7,24,27,38],"heat":[8],"equation":[9],"obtained":[10],"for":[11,52],"one-dimensional":[12],"test":[13],"structure.":[14],"The":[15],"are":[18],"derived":[19],"using":[20],"different":[21],"methods,":[22],"hence":[23],"goal":[25],"analyses":[28],"is":[29],"to":[30,45],"investigate":[31],"their":[32,43],"convergence":[33],"and":[34,55],"computation":[35],"time":[36],"from":[37],"point":[39],"view":[41],"applicability":[44],"thermal":[46],"simulation":[47],"electronics":[49],"nanosystems,":[50],"i.e.":[51],"small":[53],"dimensions":[54],"times.":[56]},"counts_by_year":[{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
