{"id":"https://openalex.org/W1532564654","doi":"https://doi.org/10.1137/1.9781611973143","title":"Analytic Perturbation Theory and Its Applications","display_name":"Analytic Perturbation Theory and Its Applications","publication_year":2013,"publication_date":"2013-12-19","ids":{"openalex":"https://openalex.org/W1532564654","doi":"https://doi.org/10.1137/1.9781611973143","mag":"1532564654"},"language":"en","primary_location":{"id":"doi:10.1137/1.9781611973143","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611973143","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"monograph"},"type":"preprint","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/A5053557735","display_name":"Konstantin Avrachenkov","orcid":"https://orcid.org/0000-0002-8124-8272"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Konstantin E. Avrachenkov","raw_affiliation_strings":["Models for the performance analysis and the control of networks"],"affiliations":[{"raw_affiliation_string":"Models for the performance analysis and the control of networks","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090477818","display_name":"Jerzy A. Filar","orcid":"https://orcid.org/0000-0001-5587-2541"},"institutions":[{"id":"https://openalex.org/I169541294","display_name":"Flinders University","ror":"https://ror.org/01kpzv902","country_code":"AU","type":"education","lineage":["https://openalex.org/I169541294"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Jerzy A. Filar","raw_affiliation_strings":["Flinders University,, Adelaide, Australia"],"affiliations":[{"raw_affiliation_string":"Flinders University,, Adelaide, Australia","institution_ids":["https://openalex.org/I169541294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027557193","display_name":"Phil Howlett","orcid":"https://orcid.org/0000-0003-2382-8137"},"institutions":[{"id":"https://openalex.org/I170239107","display_name":"University of South Australia","ror":"https://ror.org/01p93h210","country_code":"AU","type":"education","lineage":["https://openalex.org/I170239107"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Phil G. Howlett","raw_affiliation_strings":["#N#University of South Australia, Adelaide#N#"],"affiliations":[{"raw_affiliation_string":"#N#University of South Australia, Adelaide#N#","institution_ids":["https://openalex.org/I170239107"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053557735"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5253,"has_fulltext":false,"cited_by_count":111,"citation_normalized_percentile":{"value":0.90909091,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.18330000340938568,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.18330000340938568,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.5673744082450867},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5426900386810303},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4876369535923004},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.481649786233902},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4315212666988373},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40706637501716614},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3895503878593445},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32598933577537537},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19046831130981445},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14606249332427979},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11505058407783508}],"concepts":[{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.5673744082450867},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5426900386810303},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4876369535923004},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.481649786233902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4315212666988373},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40706637501716614},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3895503878593445},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32598933577537537},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19046831130981445},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14606249332427979},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11505058407783508},{"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/1.9781611973143","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611973143","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"monograph"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.23.2283","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.2283","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-sop.inria.fr/mistral/personnel/K.Avrachenkov/pubs/thesis.ps.Z","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00926397v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-00926397","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM, pp.372, 2013, 978-1611973136. ⟨10.1137/1.9781611973143⟩","raw_type":"Books"},{"id":"pmh:oai:espace.library.uq.edu.au:UQ:414456","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402388","display_name":"Queensland's institutional digital repository (The University of Queensland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165143802","host_organization_name":"The University of Queensland","host_organization_lineage":["https://openalex.org/I165143802"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.8100000023841858,"display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1660242800","https://openalex.org/W2055379029","https://openalex.org/W2077211377","https://openalex.org/W4327639758","https://openalex.org/W2116787190","https://openalex.org/W2154304710","https://openalex.org/W2019676381","https://openalex.org/W2623488306","https://openalex.org/W1971902905","https://openalex.org/W2006371715"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":16},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}