{"id":"https://openalex.org/W7168090069","doi":"https://doi.org/10.1007/978-3-032-22221-3_31","title":"Efficient Monte Carlo Solutions for\u00a0High-Dimensional Fredholm Integral Equations","display_name":"Efficient Monte Carlo Solutions for\u00a0High-Dimensional Fredholm Integral Equations","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7168090069","doi":"https://doi.org/10.1007/978-3-032-22221-3_31"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-22221-3_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-22221-3_31","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"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/A5078762918","display_name":"Venelin Todorov","orcid":"https://orcid.org/0000-0001-7134-5901"},"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":"Venelin Todorov","raw_affiliation_strings":["Centre of Excellence in Informatics and Information and Communication Technologies, 25A Acad. Georgi Bonchev Street, 1113, Sofia, Bulgaria","Department of Parallel Algorithms and Machine Learning with a Laboratory in Neurotechnologies, Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Bl. 25A, 1113, Sofia, Bulgaria"],"raw_orcid":"https://orcid.org/0000-0001-7134-5901","affiliations":[{"raw_affiliation_string":"Centre of Excellence in Informatics and Information and Communication Technologies, 25A Acad. Georgi Bonchev Street, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210163063"]},{"raw_affiliation_string":"Department of Parallel Algorithms and Machine Learning with a Laboratory in Neurotechnologies, Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Bl. 25A, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210163063"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5140510351","display_name":"Ivan Dimov","orcid":null},"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":false,"raw_author_name":"Ivan Dimov","raw_affiliation_strings":["Department of Parallel Algorithms and Machine Learning with a Laboratory in Neurotechnologies, Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Bl. 25A, 1113, Sofia, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Parallel Algorithms and Machine Learning with a Laboratory in Neurotechnologies, Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Bl. 25A, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210163063"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002460091","display_name":"Petar Zhivkov","orcid":"https://orcid.org/0000-0001-5687-5277"},"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":false,"raw_author_name":"Petar Zhivkov","raw_affiliation_strings":["Centre of Excellence in Informatics and Information and Communication Technologies, 25A Acad. Georgi Bonchev Street, 1113, Sofia, Bulgaria","Department of Parallel Algorithms and Machine Learning with a Laboratory in Neurotechnologies, Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Bl. 25A, 1113, Sofia, Bulgaria"],"raw_orcid":"https://orcid.org/0000-0001-5687-5277","affiliations":[{"raw_affiliation_string":"Centre of Excellence in Informatics and Information and Communication Technologies, 25A Acad. Georgi Bonchev Street, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210163063"]},{"raw_affiliation_string":"Department of Parallel Algorithms and Machine Learning with a Laboratory in Neurotechnologies, Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Bl. 25A, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210163063"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000444703","display_name":"Stoyan Apostolov","orcid":"https://orcid.org/0000-0002-0798-9857"},"institutions":[{"id":"https://openalex.org/I58918642","display_name":"Sofia University \"St. Kliment Ohridski\"","ror":"https://ror.org/02jv3k292","country_code":"BG","type":"education","lineage":["https://openalex.org/I58918642"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Stoyan Apostolov","raw_affiliation_strings":["Faculty of Mathematics and Informatics, Sofia University, Sofia, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Informatics, Sofia University, Sofia, Bulgaria","institution_ids":["https://openalex.org/I58918642"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013306341","display_name":"Stefka Fidanova","orcid":"https://orcid.org/0000-0002-8484-5849"},"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":false,"raw_author_name":"Stefka Fidanova","raw_affiliation_strings":["Centre of Excellence in Informatics and Information and Communication Technologies, 25A Acad. Georgi Bonchev Street, 1113, Sofia, Bulgaria","Department of Parallel Algorithms and Machine Learning with a Laboratory in Neurotechnologies, Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Bl. 25A, 1113, Sofia, Bulgaria"],"raw_orcid":"https://orcid.org/0000-0002-8484-5849","affiliations":[{"raw_affiliation_string":"Centre of Excellence in Informatics and Information and Communication Technologies, 25A Acad. Georgi Bonchev Street, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210163063"]},{"raw_affiliation_string":"Department of Parallel Algorithms and Machine Learning with a Laboratory in Neurotechnologies, Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Bl. 25A, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210163063"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078762918"],"corresponding_institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210163063"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"277","last_page":"285"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.32260000705718994,"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":0.32260000705718994,"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":0.08020000159740448,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.06239999830722809,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/monte-carlo-method","display_name":"Monte Carlo method","score":0.636900007724762},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5655999779701233},{"id":"https://openalex.org/keywords/fredholm-integral-equation","display_name":"Fredholm integral equation","score":0.4830000102519989},{"id":"https://openalex.org/keywords/hybrid-monte-carlo","display_name":"Hybrid Monte Carlo","score":0.428600013256073},{"id":"https://openalex.org/keywords/quasi-monte-carlo-method","display_name":"Quasi-Monte Carlo method","score":0.3621000051498413},{"id":"https://openalex.org/keywords/monte-carlo-integration","display_name":"Monte Carlo integration","score":0.3181999921798706}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6499999761581421},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.636900007724762},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5655999779701233},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5245000123977661},{"id":"https://openalex.org/C89285879","wikidata":"https://www.wikidata.org/wiki/Q2991898","display_name":"Fredholm integral equation","level":3,"score":0.4830000102519989},{"id":"https://openalex.org/C13153151","wikidata":"https://www.wikidata.org/wiki/Q1639846","display_name":"Hybrid Monte Carlo","level":4,"score":0.428600013256073},{"id":"https://openalex.org/C63320529","wikidata":"https://www.wikidata.org/wiki/Q7269435","display_name":"Quasi-Monte Carlo method","level":5,"score":0.3621000051498413},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32249999046325684},{"id":"https://openalex.org/C132725507","wikidata":"https://www.wikidata.org/wiki/Q39879","display_name":"Monte Carlo integration","level":5,"score":0.3181999921798706},{"id":"https://openalex.org/C204493344","wikidata":"https://www.wikidata.org/wiki/Q6904698","display_name":"Monte Carlo method in statistical physics","level":5,"score":0.31279999017715454},{"id":"https://openalex.org/C37669827","wikidata":"https://www.wikidata.org/wiki/Q6904703","display_name":"Monte Carlo molecular modeling","level":4,"score":0.30059999227523804},{"id":"https://openalex.org/C122592724","wikidata":"https://www.wikidata.org/wiki/Q3855635","display_name":"Dynamic Monte Carlo method","level":3,"score":0.3001999855041504},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.29789999127388},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2913999855518341},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28519999980926514},{"id":"https://openalex.org/C187192777","wikidata":"https://www.wikidata.org/wiki/Q381699","display_name":"Rejection sampling","level":5,"score":0.27379998564720154},{"id":"https://openalex.org/C518188847","wikidata":"https://www.wikidata.org/wiki/Q4455098","display_name":"Fredholm theory","level":4,"score":0.2712000012397766},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.26080000400543213}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-032-22221-3_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-22221-3_31","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1974904316","https://openalex.org/W2034228208","https://openalex.org/W2918938566"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2026-07-13T00:00:00"}
