{"id":"https://openalex.org/W2918938566","doi":"https://doi.org/10.1007/s10444-019-09676-y","title":"A new unbiased stochastic algorithm for solving linear Fredholm equations of the second kind","display_name":"A new unbiased stochastic algorithm for solving linear Fredholm equations of the second kind","publication_year":2019,"publication_date":"2019-03-02","ids":{"openalex":"https://openalex.org/W2918938566","doi":"https://doi.org/10.1007/s10444-019-09676-y","mag":"2918938566"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-019-09676-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-019-09676-y","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","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/A5052736928","display_name":"Ivan Dimov","orcid":"https://orcid.org/0000-0003-4198-5830"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210163063","display_name":"Institute of Information and Communication Technologies","ror":"https://ror.org/05fpsjc82","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210163063"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"I. T. Dimov","raw_affiliation_strings":["Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev 25A, 1113, Sofia, Bulgaria"],"raw_orcid":"https://orcid.org/0000-0003-4198-5830","affiliations":[{"raw_affiliation_string":"Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev 25A, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210163063","https://openalex.org/I24768866"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086125712","display_name":"Sylvain Maire","orcid":null},"institutions":[{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S. Maire","raw_affiliation_strings":["Laboratoire LIS, UMR 7020 Equipe Signal et Image, SeaTech - Universit\u00e9 de Toulon, Avenue de l\u2019Universit\u00e9 83130, La Garde, France","Laboratoire LIS, UMR 7020 Equipe Signal et Image, SeaTech - Universit\u00e9 de Toulon, Avenue de l'Universit\u00e9 83130, La Garde, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire LIS, UMR 7020 Equipe Signal et Image, SeaTech - Universit\u00e9 de Toulon, Avenue de l\u2019Universit\u00e9 83130, La Garde, France","institution_ids":["https://openalex.org/I143002897","https://openalex.org/I4210114274"]},{"raw_affiliation_string":"Laboratoire LIS, UMR 7020 Equipe Signal et Image, SeaTech - Universit\u00e9 de Toulon, Avenue de l'Universit\u00e9 83130, La Garde, France","institution_ids":["https://openalex.org/I143002897","https://openalex.org/I4210114274"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052736928"],"corresponding_institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210163063"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6489,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.63017479,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"45","issue":"3","first_page":"1499","last_page":"1519"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9991999864578247,"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":0.9991999864578247,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9988999962806702,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.6357020139694214},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.596142053604126},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5950808525085449},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5218150019645691},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5155044198036194},{"id":"https://openalex.org/keywords/fredholm-integral-equation","display_name":"Fredholm integral equation","score":0.4994797706604004},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4327435791492462},{"id":"https://openalex.org/keywords/quasi-monte-carlo-method","display_name":"Quasi-Monte Carlo method","score":0.4137466251850128},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3853972554206848},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3569357991218567},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.31156349182128906},{"id":"https://openalex.org/keywords/hybrid-monte-carlo","display_name":"Hybrid Monte Carlo","score":0.26363033056259155},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.11100569367408752},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10272350907325745},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0913480818271637}],"concepts":[{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.6357020139694214},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.596142053604126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5950808525085449},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5218150019645691},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5155044198036194},{"id":"https://openalex.org/C89285879","wikidata":"https://www.wikidata.org/wiki/Q2991898","display_name":"Fredholm integral equation","level":3,"score":0.4994797706604004},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4327435791492462},{"id":"https://openalex.org/C63320529","wikidata":"https://www.wikidata.org/wiki/Q7269435","display_name":"Quasi-Monte Carlo method","level":5,"score":0.4137466251850128},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3853972554206848},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3569357991218567},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.31156349182128906},{"id":"https://openalex.org/C13153151","wikidata":"https://www.wikidata.org/wiki/Q1639846","display_name":"Hybrid Monte Carlo","level":4,"score":0.26363033056259155},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.11100569367408752},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10272350907325745},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0913480818271637},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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:10.1007/s10444-019-09676-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-019-09676-y","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W72011800","https://openalex.org/W647800561","https://openalex.org/W1510139796","https://openalex.org/W1592669354","https://openalex.org/W1974904316","https://openalex.org/W1996765007","https://openalex.org/W2010380803","https://openalex.org/W2034228208","https://openalex.org/W2110930696","https://openalex.org/W2175102988","https://openalex.org/W2325278978","https://openalex.org/W2500087514","https://openalex.org/W4243173389","https://openalex.org/W4255299209","https://openalex.org/W4298836940"],"related_works":["https://openalex.org/W2972080159","https://openalex.org/W2017640945","https://openalex.org/W2031473926","https://openalex.org/W2386739836","https://openalex.org/W2493083010","https://openalex.org/W1548972748","https://openalex.org/W2021616187","https://openalex.org/W4308895501","https://openalex.org/W22811207","https://openalex.org/W2189527329"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}