{"id":"https://openalex.org/W2074044815","doi":"https://doi.org/10.1137/06065252x","title":"Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space","display_name":"Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2074044815","doi":"https://doi.org/10.1137/06065252x","mag":"2074044815"},"language":"en","primary_location":{"id":"doi:10.1137/06065252x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/06065252x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5047773670","display_name":"T. Yu. Bohonova","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"T. Yu. Bohonova","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057130441","display_name":"I. P. Gavrilyuk","orcid":"https://orcid.org/0000-0003-3115-9690"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I. P. Gavrilyuk","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009476835","display_name":"\u0412. \u041b. \u041c\u0430\u043a\u0430\u0440\u043e\u0432","orcid":"https://orcid.org/0000-0002-4883-6574"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V. L. Makarov","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5039067735","display_name":"Vitalii Vasylyk","orcid":"https://orcid.org/0000-0002-4235-9674"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V. Vasylyk","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5047773670"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8601,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70515293,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"46","issue":"1","first_page":"365","last_page":"396"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9995999932289124,"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/T10514","display_name":"Numerical methods in engineering","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8773342370986938},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5747987627983093},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5570705533027649},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5531036257743835},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.553024172782898},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5043269395828247},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4939795136451721},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.46358582377433777},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4493624269962311},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4400784373283386},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.41417810320854187},{"id":"https://openalex.org/keywords/c0-semigroup","display_name":"C0-semigroup","score":0.41034525632858276},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32839417457580566}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8773342370986938},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5747987627983093},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5570705533027649},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5531036257743835},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.553024172782898},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5043269395828247},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4939795136451721},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.46358582377433777},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4493624269962311},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4400784373283386},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.41417810320854187},{"id":"https://openalex.org/C19496378","wikidata":"https://www.wikidata.org/wiki/Q846542","display_name":"C0-semigroup","level":3,"score":0.41034525632858276},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32839417457580566},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/06065252x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/06065252x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:bibcyt.ucla.edu.ve:T070300015738/18","is_oa":false,"landing_page_url":"http://bibcyt.ucla.edu.ve/cgi-win/be_alex.exe?Acceso=T070300015738/18&Nombrebd=Bciucla","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W621351040","https://openalex.org/W628383724","https://openalex.org/W1516587486","https://openalex.org/W1533889494","https://openalex.org/W1576754181","https://openalex.org/W1984613947","https://openalex.org/W1998665522","https://openalex.org/W2011326283","https://openalex.org/W2012405708","https://openalex.org/W2024325396","https://openalex.org/W2028247581","https://openalex.org/W2030565709","https://openalex.org/W2031667286","https://openalex.org/W2035766380","https://openalex.org/W2047808645","https://openalex.org/W2055175862","https://openalex.org/W2056399022","https://openalex.org/W2070279765","https://openalex.org/W2131778920","https://openalex.org/W2160147898","https://openalex.org/W3038165843","https://openalex.org/W3143329128"],"related_works":["https://openalex.org/W2076964552","https://openalex.org/W2044773998","https://openalex.org/W2059333595","https://openalex.org/W2359612854","https://openalex.org/W2184843939","https://openalex.org/W2374404281","https://openalex.org/W1964373039","https://openalex.org/W2352901846","https://openalex.org/W2386024687","https://openalex.org/W2362348191"],"abstract_inverted_index":{"A":[0,37],"suitable":[1],"abstract":[2],"setting":[3],"of":[4,51],"an":[5,70],"initial":[6,67],"value":[7,93],"problem":[8,68],"for":[9,18,55],"the":[10,19,23,33,52,66,89],"first":[11],"order":[12],"operator":[13,25],"differential":[14],"equation":[15,72],"is":[16,42,46],"introduced":[17],"case":[20],"when":[21],"both":[22],"unbounded":[24],"coefficient":[26],"and":[27,73],"its":[28],"domain":[29],"can":[30],"depend":[31],"on":[32,48],"differentiation":[34],"variable":[35],"t.":[36],"new":[38],"exponentially":[39],"convergent":[40],"algorithm":[41,45],"proposed.":[43],"The":[44,58,80],"based":[47],"a":[49],"generalization":[50],"Duhamel":[53],"integral":[54,71],"vector-valued":[56],"functions.":[57],"Duhamel-like":[59],"technique":[60],"makes":[61],"it":[62,76],"possible":[63],"to":[64,69],"translate":[65],"then":[74],"approximate":[75],"with":[77,88],"exponential":[78],"accuracy.":[79],"theoretical":[81],"results":[82],"are":[83],"illustrated":[84],"by":[85],"examples":[86],"associated":[87],"heat":[90],"transfer":[91],"boundary":[92],"problems.":[94]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}