{"id":"https://openalex.org/W1973339185","doi":"https://doi.org/10.1515/156939606779329071","title":"Quasi- Monte Carlo algorithms for solving linear algebraic equations","display_name":"Quasi- Monte Carlo algorithms for solving linear algebraic equations","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1973339185","doi":"https://doi.org/10.1515/156939606779329071","mag":"1973339185"},"language":"en","primary_location":{"id":"doi:10.1515/156939606779329071","is_oa":false,"landing_page_url":"http://doi.org/10.1515/156939606779329071","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/A5096975540","display_name":"Ermakov S.M.","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ermakov S.M.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5012454036","display_name":"A. I. Rukavishnikova","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rukavishnikova A.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8135,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.82864259,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"12","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9678999781608582,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9678999781608582,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T13487","display_name":"Statistical and numerical algorithms","score":0.902899980545044,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6511961221694946},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.577820897102356},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5728114247322083},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5415080785751343},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.49140799045562744},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.48393040895462036},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.442798376083374},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4395046532154083},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32165414094924927},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23666763305664062},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22432318329811096},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.150849848985672},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12641671299934387}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6511961221694946},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.577820897102356},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5728114247322083},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5415080785751343},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.49140799045562744},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.48393040895462036},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.442798376083374},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4395046532154083},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32165414094924927},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23666763305664062},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22432318329811096},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.150849848985672},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12641671299934387},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/156939606779329071","is_oa":false,"landing_page_url":"http://doi.org/10.1515/156939606779329071","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:12:y:2006:i:5:p:363-384:n:7","is_oa":false,"landing_page_url":"https://doi.org/10.1515/156939606779329071","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":"","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":1,"referenced_works":["https://openalex.org/W1995228485"],"related_works":["https://openalex.org/W2377770720","https://openalex.org/W94411513","https://openalex.org/W4311883357","https://openalex.org/W160889949","https://openalex.org/W2113626999","https://openalex.org/W2364696089","https://openalex.org/W309910862","https://openalex.org/W2369004811","https://openalex.org/W2392500469","https://openalex.org/W2541180809"],"abstract_inverted_index":{"In":[0,13],"this":[1],"article,":[2],"the":[3,20,41,54,58],"QMC":[4,42],"method":[5,43],"is":[6,24,29,47],"applied":[7],"to":[8,51],"solving":[9],"linear":[10,32,45],"algebraic":[11],"equations.":[12],"particular":[14],"a":[15],"finite":[16],"difference":[17],"analogue":[18],"of":[19,40,57],"five-dimensional":[21],"Laplace":[22],"equation":[23],"examined.":[25],"The":[26],"error":[27],"distribution":[28],"studied":[30],"for":[31,44],"systems":[33,46],"and":[34],"some":[35],"high-dimensional":[36],"integrals.":[37],"A":[38],"modification":[39],"suggested":[48],"which":[49],"allows":[50],"considerably":[52],"reduce":[53],"constructive":[55],"dimension":[56],"algorithm.":[59]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
