{"id":"https://openalex.org/W4399733526","doi":"https://doi.org/10.1515/mcma-2024-2006","title":"Joint application of the Monte Carlo method and computational probabilistic analysis in problems of numerical modeling with data uncertainties","display_name":"Joint application of the Monte Carlo method and computational probabilistic analysis in problems of numerical modeling with data uncertainties","publication_year":2024,"publication_date":"2024-06-17","ids":{"openalex":"https://openalex.org/W4399733526","doi":"https://doi.org/10.1515/mcma-2024-2006"},"language":"en","primary_location":{"id":"doi:10.1515/mcma-2024-2006","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1515/mcma-2024-2006","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-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/A5034096965","display_name":"\u0411\u043e\u0440\u0438\u0441 \u0421. \u0414\u043e\u0431\u0440\u043e\u043d\u0435\u0446","orcid":"https://orcid.org/0000-0002-0167-1637"},"institutions":[{"id":"https://openalex.org/I4853710","display_name":"Siberian Federal University","ror":"https://ror.org/05fw97k56","country_code":"RU","type":"education","lineage":["https://openalex.org/I4853710"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Boris Dobronets","raw_affiliation_strings":["Institute of Space and Information Technology , Siberian Federal University , Krasnoyarsk , Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Space and Information Technology , Siberian Federal University , Krasnoyarsk , Russia","institution_ids":["https://openalex.org/I4853710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068368219","display_name":"Olga A. Popova","orcid":"https://orcid.org/0000-0002-5739-2741"},"institutions":[{"id":"https://openalex.org/I4853710","display_name":"Siberian Federal University","ror":"https://ror.org/05fw97k56","country_code":"RU","type":"education","lineage":["https://openalex.org/I4853710"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Olga Popova","raw_affiliation_strings":["Institute of Space and Information Technology , Siberian Federal University , Krasnoyarsk , Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Space and Information Technology , Siberian Federal University , Krasnoyarsk , Russia","institution_ids":["https://openalex.org/I4853710"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034096965"],"corresponding_institution_ids":["https://openalex.org/I4853710"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08757173,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"3","first_page":"217","last_page":"223"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9990000128746033,"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":0.9990000128746033,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.9805999994277954,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.958899974822998,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/probabilistic-logic","display_name":"Probabilistic logic","score":0.748077929019928},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.722436785697937},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6099060773849487},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5599060654640198},{"id":"https://openalex.org/keywords/quasi-monte-carlo-method","display_name":"Quasi-Monte Carlo method","score":0.5121536254882812},{"id":"https://openalex.org/keywords/probabilistic-analysis-of-algorithms","display_name":"Probabilistic analysis of algorithms","score":0.5104659795761108},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48552370071411133},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4573189616203308},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3839593231678009},{"id":"https://openalex.org/keywords/monte-carlo-molecular-modeling","display_name":"Monte Carlo molecular modeling","score":0.37800270318984985},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3451473116874695},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.19496193528175354},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09785044193267822},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08989068865776062}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.748077929019928},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.722436785697937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6099060773849487},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5599060654640198},{"id":"https://openalex.org/C63320529","wikidata":"https://www.wikidata.org/wiki/Q7269435","display_name":"Quasi-Monte Carlo method","level":5,"score":0.5121536254882812},{"id":"https://openalex.org/C24404364","wikidata":"https://www.wikidata.org/wiki/Q7246846","display_name":"Probabilistic analysis of algorithms","level":3,"score":0.5104659795761108},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48552370071411133},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4573189616203308},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3839593231678009},{"id":"https://openalex.org/C37669827","wikidata":"https://www.wikidata.org/wiki/Q6904703","display_name":"Monte Carlo molecular modeling","level":4,"score":0.37800270318984985},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3451473116874695},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.19496193528175354},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09785044193267822},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08989068865776062}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/mcma-2024-2006","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1515/mcma-2024-2006","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:bpj:mcmeap:v:30:y:2024:i:3:p:217-223:n:1001","is_oa":false,"landing_page_url":"https://doi.org/10.1515/mcma-2024-2006","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2753271454","https://openalex.org/W2796239619","https://openalex.org/W2972895207","https://openalex.org/W4229739412","https://openalex.org/W6600300406","https://openalex.org/W6600925968"],"related_works":["https://openalex.org/W4294677683","https://openalex.org/W1548972748","https://openalex.org/W2374592211","https://openalex.org/W4387986293","https://openalex.org/W2151084831","https://openalex.org/W2026465639","https://openalex.org/W2352546530","https://openalex.org/W2364466961","https://openalex.org/W2088438353","https://openalex.org/W4212833344"],"abstract_inverted_index":{"Abstract":[0],"In":[1,52],"this":[2,53],"paper,":[3],"we":[4,55,106],"suggest":[5],"joint":[6],"application":[7],"of":[8,27,36,67,73,96,99,110],"computational":[9,28,49],"probabilistic":[10,29,89],"analysis":[11,30],"and":[12,60,83],"the":[13,25,34,37,57,62,65,88,108],"Monte":[14,38],"Carlo":[15,39],"method":[16,75],"for":[17,85],"numerical":[18,94],"stochastic":[19],"modeling":[20],"problems.":[21],"We":[22],"use":[23],"all":[24,33],"capabilities":[26],"while":[31],"maintaining":[32],"advantages":[35,109],"method.":[40],"Our":[41],"approach":[42],"allows":[43],"us":[44],"to":[45],"efficiently":[46],"implement":[47],"a":[48],"hybrid":[50],"scheme.":[51],"way,":[54],"reduce":[56],"computation":[58],"time":[59],"present":[61,107],"results":[63],"in":[64],"form":[66],"distributions.":[68],"The":[69],"crucial":[70],"new":[71],"points":[72],"our":[74,111],"are":[76],"arithmetic":[77],"operations":[78],"on":[79,87,92],"probability":[80],"density":[81],"functions":[82],"procedures":[84],"constructing":[86],"extensions.":[90],"Relying":[91],"specific":[93],"examples":[95],"solving":[97],"systems":[98],"linear":[100],"algebraic":[101],"equations":[102],"with":[103],"random":[104],"coefficients,":[105],"approach.":[112]},"counts_by_year":[],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}
