{"id":"https://openalex.org/W2746754761","doi":"https://doi.org/10.1016/j.aml.2017.08.009","title":"Non-monotonic blow-up problems: Test problems with solutions in elementary functions, numerical integration based on non-local transformations","display_name":"Non-monotonic blow-up problems: Test problems with solutions in elementary functions, numerical integration based on non-local transformations","publication_year":2017,"publication_date":"2017-08-23","ids":{"openalex":"https://openalex.org/W2746754761","doi":"https://doi.org/10.1016/j.aml.2017.08.009","mag":"2746754761"},"language":"en","primary_location":{"id":"doi:10.1016/j.aml.2017.08.009","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aml.2017.08.009","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","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/A5077379445","display_name":"Andrei D. Polyanin","orcid":"https://orcid.org/0000-0002-2610-0590"},"institutions":[{"id":"https://openalex.org/I177537411","display_name":"Bauman Moscow State Technical University","ror":"https://ror.org/00pb8h375","country_code":"RU","type":"education","lineage":["https://openalex.org/I177537411"]},{"id":"https://openalex.org/I4210092536","display_name":"Institute for Problems in Mechanics","ror":"https://ror.org/00nj22y86","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210092536","https://openalex.org/I4210164537"]},{"id":"https://openalex.org/I887846188","display_name":"National Research Nuclear University MEPhI","ror":"https://ror.org/04w8z7f34","country_code":"RU","type":"education","lineage":["https://openalex.org/I887846188"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Andrei D. Polyanin","raw_affiliation_strings":["Bauman Moscow State Technical University, 5 Second Baumanskaya Street, 105005 Moscow, Russia","Institute for Problems in Mechanics, Russian Academy of Sciences, 101 Vernadsky Avenue, bldg\u00a01, 119526 Moscow, Russia","National Research Nuclear University MEPhI, 31 Kashirskoe Shosse, 115409 Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Bauman Moscow State Technical University, 5 Second Baumanskaya Street, 105005 Moscow, Russia","institution_ids":["https://openalex.org/I177537411"]},{"raw_affiliation_string":"Institute for Problems in Mechanics, Russian Academy of Sciences, 101 Vernadsky Avenue, bldg\u00a01, 119526 Moscow, Russia","institution_ids":["https://openalex.org/I4210092536"]},{"raw_affiliation_string":"National Research Nuclear University MEPhI, 31 Kashirskoe Shosse, 115409 Moscow, Russia","institution_ids":["https://openalex.org/I887846188"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051531969","display_name":"Inna K. Shingareva","orcid":"https://orcid.org/0000-0002-6967-6397"},"institutions":[{"id":"https://openalex.org/I4061448","display_name":"Universidad de Sonora","ror":"https://ror.org/00c32gy34","country_code":"MX","type":"education","lineage":["https://openalex.org/I4061448"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Inna K. Shingareva","raw_affiliation_strings":["University of Sonora, Blvd. Luis Encinas y Rosales S/N, Hermosillo C.P. 83000, Sonora, Mexico"],"affiliations":[{"raw_affiliation_string":"University of Sonora, Blvd. Luis Encinas y Rosales S/N, Hermosillo C.P. 83000, Sonora, Mexico","institution_ids":["https://openalex.org/I4061448"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077379445"],"corresponding_institution_ids":["https://openalex.org/I177537411","https://openalex.org/I4210092536","https://openalex.org/I887846188"],"apc_list":{"value":3540,"currency":"USD","value_usd":3540},"apc_paid":null,"fwci":1.7717,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.84273709,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"76","issue":null,"first_page":"123","last_page":"129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","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/T11416","display_name":"Numerical methods for differential equations","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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991000294685364,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9986000061035156,"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":0.8846590518951416},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.8068351745605469},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5831753015518188},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5069477558135986},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47496554255485535},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.46216583251953125},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.456892728805542},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.45644906163215637},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4458268880844116},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4350598454475403},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4212072491645813},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3215852379798889}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8846590518951416},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.8068351745605469},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5831753015518188},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5069477558135986},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47496554255485535},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.46216583251953125},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.456892728805542},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.45644906163215637},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4458268880844116},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4350598454475403},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4212072491645813},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3215852379798889},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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":1,"locations":[{"id":"doi:10.1016/j.aml.2017.08.009","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aml.2017.08.009","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W572867183","https://openalex.org/W1498908847","https://openalex.org/W1964669840","https://openalex.org/W2002413912","https://openalex.org/W2008007187","https://openalex.org/W2056465650","https://openalex.org/W2081867608","https://openalex.org/W2152605913","https://openalex.org/W2299899303","https://openalex.org/W2734530953","https://openalex.org/W2963969670","https://openalex.org/W4255732627"],"related_works":["https://openalex.org/W2263119459","https://openalex.org/W1970616601","https://openalex.org/W3131993578","https://openalex.org/W4234588361","https://openalex.org/W2374567876","https://openalex.org/W2288394291","https://openalex.org/W2005876858","https://openalex.org/W2293645281","https://openalex.org/W3036140763","https://openalex.org/W2033799224"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
