{"id":"https://openalex.org/W2073455794","doi":"https://doi.org/10.1109/icat.2013.6684079","title":"Solving Laplace differential equation using Markov chains in Monte Carlo method","display_name":"Solving Laplace differential equation using Markov chains in Monte Carlo method","publication_year":2013,"publication_date":"2013-10-01","ids":{"openalex":"https://openalex.org/W2073455794","doi":"https://doi.org/10.1109/icat.2013.6684079","mag":"2073455794"},"language":"en","primary_location":{"id":"doi:10.1109/icat.2013.6684079","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icat.2013.6684079","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 XXIV International Conference on Information, Communication and Automation Technologies (ICAT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5022706393","display_name":"Mario Kokoru\u0161","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mario Kokorus","raw_affiliation_strings":["International Council on Large Electric Systems, Committee for Bosnia and Herzegovina, Bosnia and Herzegovina","Int. Council on Large Electr. Syst., Comm. for Bosnia & Herzegovina, Bosnia-Herzegovina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International Council on Large Electric Systems, Committee for Bosnia and Herzegovina, Bosnia and Herzegovina","institution_ids":[]},{"raw_affiliation_string":"Int. Council on Large Electr. Syst., Comm. for Bosnia & Herzegovina, Bosnia-Herzegovina","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003567137","display_name":"Kemo Sokolija","orcid":null},"institutions":[{"id":"https://openalex.org/I104817121","display_name":"University of Sarajevo","ror":"https://ror.org/02hhwgd43","country_code":"BA","type":"education","lineage":["https://openalex.org/I104817121"]}],"countries":["BA"],"is_corresponding":false,"raw_author_name":"Kemo Sokolija","raw_affiliation_strings":["Faculty of Electrical Engineering, University of Sarajevo, Sarajevo, Bosnia and Herzegovina","Fac. of Electr. Eng., University of Sarajevo, Sarajevo, Bosnia-Herzegovina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, University of Sarajevo, Sarajevo, Bosnia and Herzegovina","institution_ids":["https://openalex.org/I104817121"]},{"raw_affiliation_string":"Fac. of Electr. Eng., University of Sarajevo, Sarajevo, Bosnia-Herzegovina","institution_ids":["https://openalex.org/I104817121"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11941","display_name":"Power System Reliability and Maintenance","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9580000042915344,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/laplaces-equation","display_name":"Laplace's equation","score":0.6817613244056702},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5704975128173828},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.5337949991226196},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.5154422521591187},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5072934031486511},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49368342757225037},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.48296231031417847},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.4581552743911743},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.45054566860198975},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4293779730796814},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4230843782424927},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.395084947347641},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.35079896450042725},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.26663488149642944},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1573430895805359}],"concepts":[{"id":"https://openalex.org/C70615421","wikidata":"https://www.wikidata.org/wiki/Q339444","display_name":"Laplace's equation","level":3,"score":0.6817613244056702},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5704975128173828},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.5337949991226196},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5154422521591187},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5072934031486511},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49368342757225037},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.48296231031417847},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.4581552743911743},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.45054566860198975},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4293779730796814},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4230843782424927},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.395084947347641},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35079896450042725},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.26663488149642944},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1573430895805359},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icat.2013.6684079","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icat.2013.6684079","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 XXIV International Conference on Information, Communication and Automation Technologies (ICAT)","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":7,"referenced_works":["https://openalex.org/W81366119","https://openalex.org/W2075626713","https://openalex.org/W2079309933","https://openalex.org/W2098394615","https://openalex.org/W2107801743","https://openalex.org/W2764773857","https://openalex.org/W3140665246"],"related_works":["https://openalex.org/W2488373638","https://openalex.org/W4254213601","https://openalex.org/W2100299603","https://openalex.org/W2041486430","https://openalex.org/W1589056410","https://openalex.org/W963546583","https://openalex.org/W2897990565","https://openalex.org/W2905205127","https://openalex.org/W3161188140","https://openalex.org/W3162820697"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"solution":[3],"to":[4],"Laplace":[5],"differential":[6],"equation":[7],"by":[8],"using":[9],"Markov":[10],"chains":[11],"in":[12,34],"Monte":[13],"Carlo":[14],"method.":[15],"Considered":[16],"here":[17],"was":[18,32],"a":[19],"two-dimensional":[20],"model":[21],"that":[22],"satisfies":[23],"Dirichlet":[24],"and":[25],"Neumann":[26,38],"conditions.":[27],"In":[28],"particular,":[29],"electrostatic":[30],"field":[31],"observed":[33],"case":[35],"of":[36,42],"homogeneous":[37],"condition":[39],"at":[40],"one":[41],"the":[43],"domain":[44],"boundaries.":[45]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
