{"id":"https://openalex.org/W125641344","doi":"https://doi.org/10.1023/a:1022862704316","title":"Orthogonal Systems of Singular Functions and Numerical Treatment of Problems with Degeneration of Data","display_name":"Orthogonal Systems of Singular Functions and Numerical Treatment of Problems with Degeneration of Data","publication_year":2003,"publication_date":"2003-04-04","ids":{"openalex":"https://openalex.org/W125641344","doi":"https://doi.org/10.1023/a:1022862704316","mag":"125641344"},"language":"en","primary_location":{"id":"doi:10.1023/a:1022862704316","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1022862704316","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/A5081277992","display_name":"Alex Bespalov","orcid":"https://orcid.org/0000-0001-6181-6765"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210148470","display_name":"Far Eastern Branch of the Russian Academy of Sciences","ror":"https://ror.org/05t43vz03","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210148470"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Alexei Bespalov","raw_affiliation_strings":["Computational Center, Far-Eastern Branch, Russian Academy of Sciences, Khabarovsk, 680000, Russia","Computational Center, Far Eastern Branch, Russian Academy of Sciences, Khabarovsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Center, Far-Eastern Branch, Russian Academy of Sciences, Khabarovsk, 680000, Russia","institution_ids":["https://openalex.org/I4210148470"]},{"raw_affiliation_string":"Computational Center, Far Eastern Branch, Russian Academy of Sciences, Khabarovsk, Russia","institution_ids":["https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081277992"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210148470"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.365,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.57423166,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":"1-3","first_page":"159","last_page":"182"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9987999796867371,"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/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.8583072423934937},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.7645254135131836},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7116833925247192},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5951329469680786},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46054476499557495},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4276273250579834},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41422462463378906},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4098815321922302},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33204659819602966},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.07433319091796875}],"concepts":[{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.8583072423934937},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.7645254135131836},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7116833925247192},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5951329469680786},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46054476499557495},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4276273250579834},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41422462463378906},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4098815321922302},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33204659819602966},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.07433319091796875},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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":1,"locations":[{"id":"doi:10.1023/a:1022862704316","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1022862704316","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W149674972","https://openalex.org/W1496554474","https://openalex.org/W1506933769","https://openalex.org/W1525628435","https://openalex.org/W1983731610","https://openalex.org/W2006718018","https://openalex.org/W2009674606","https://openalex.org/W2014058364","https://openalex.org/W2041523977","https://openalex.org/W2056040698","https://openalex.org/W2068305880","https://openalex.org/W2087512890","https://openalex.org/W3021722416","https://openalex.org/W3130571686"],"related_works":["https://openalex.org/W2351083540","https://openalex.org/W2953854768","https://openalex.org/W2389690162","https://openalex.org/W2039467239","https://openalex.org/W4231686530","https://openalex.org/W2060497234","https://openalex.org/W3185647786","https://openalex.org/W2035968624","https://openalex.org/W2181731670","https://openalex.org/W2327731207"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2016-06-24T00:00:00"}