{"id":"https://openalex.org/W4366136633","doi":"https://doi.org/10.1134/s0361768823020032","title":"Solving the Cauchy Problem for a Three-dimensional Difference Equation in a Parallelepiped","display_name":"Solving the Cauchy Problem for a Three-dimensional Difference Equation in a Parallelepiped","publication_year":2023,"publication_date":"2023-04-01","ids":{"openalex":"https://openalex.org/W4366136633","doi":"https://doi.org/10.1134/s0361768823020032"},"language":"en","primary_location":{"id":"doi:10.1134/s0361768823020032","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1134/s0361768823020032","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","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/A5040712479","display_name":"\u041c. \u0421. \u0410\u043f\u0430\u043d\u043e\u0432\u0438\u0447","orcid":"https://orcid.org/0000-0002-0889-2475"},"institutions":[{"id":"https://openalex.org/I4210090231","display_name":"Krasnoyarsk State Medical University","ror":"https://ror.org/00b0jb681","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210090231"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"M. S. Apanovich","raw_affiliation_strings":["Professor V.F. Voino-Yasenetsky Krasnoyarsk State Medical University, ul. Partizana Zhelyaznyaka 1, 660022, Krasnoyarsk, Russia"],"affiliations":[{"raw_affiliation_string":"Professor V.F. Voino-Yasenetsky Krasnoyarsk State Medical University, ul. Partizana Zhelyaznyaka 1, 660022, Krasnoyarsk, Russia","institution_ids":["https://openalex.org/I4210090231"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067121720","display_name":"A. P. Lyapin","orcid":"https://orcid.org/0000-0002-0149-7587"},"institutions":[{"id":"https://openalex.org/I142920149","display_name":"Fairmont State University","ror":"https://ror.org/047wwd089","country_code":"US","type":"education","lineage":["https://openalex.org/I142920149"]},{"id":"https://openalex.org/I4853710","display_name":"Siberian Federal University","ror":"https://ror.org/05fw97k56","country_code":"RU","type":"education","lineage":["https://openalex.org/I4853710"]}],"countries":["RU","US"],"is_corresponding":true,"raw_author_name":"A. P. Lyapin","raw_affiliation_strings":["Fairmont State University, 1201 Locust Ave, 26554, Fairmont, WV, USA","Siberian Federal University, pr. Svobodnyi, 79, 660041, Krasnoyarsk, Russia"],"affiliations":[{"raw_affiliation_string":"Fairmont State University, 1201 Locust Ave, 26554, Fairmont, WV, USA","institution_ids":["https://openalex.org/I142920149"]},{"raw_affiliation_string":"Siberian Federal University, pr. Svobodnyi, 79, 660041, Krasnoyarsk, Russia","institution_ids":["https://openalex.org/I4853710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053457283","display_name":"\u041a. \u0412. \u0428\u0430\u0434\u0440\u0438\u043d","orcid":"https://orcid.org/0000-0002-8290-0904"},"institutions":[{"id":"https://openalex.org/I4210090231","display_name":"Krasnoyarsk State Medical University","ror":"https://ror.org/00b0jb681","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210090231"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"K. V. Shadrin","raw_affiliation_strings":["Professor V.F. Voino-Yasenetsky Krasnoyarsk State Medical University, ul. Partizana Zhelyaznyaka 1, 660022, Krasnoyarsk, Russia"],"affiliations":[{"raw_affiliation_string":"Professor V.F. Voino-Yasenetsky Krasnoyarsk State Medical University, ul. Partizana Zhelyaznyaka 1, 660022, Krasnoyarsk, Russia","institution_ids":["https://openalex.org/I4210090231"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5067121720"],"corresponding_institution_ids":["https://openalex.org/I142920149","https://openalex.org/I4853710"],"apc_list":null,"apc_paid":null,"fwci":0.535,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53175655,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"49","issue":"2","first_page":"61","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9793999791145325,"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/T13234","display_name":"advanced mathematical theories","score":0.9793999791145325,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9441999793052673,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9398999810218811,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/parallelepiped","display_name":"Parallelepiped","score":0.9835419654846191},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6830431818962097},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.633682131767273},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5369690656661987},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.5324118137359619},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.5037190318107605},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.4964612126350403},{"id":"https://openalex.org/keywords/constant-coefficients","display_name":"Constant coefficients","score":0.4714404344558716},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37080061435699463},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3411785364151001},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3329872488975525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21573889255523682},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2010946273803711},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1164943277835846}],"concepts":[{"id":"https://openalex.org/C2779788511","wikidata":"https://www.wikidata.org/wiki/Q181658","display_name":"Parallelepiped","level":2,"score":0.9835419654846191},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6830431818962097},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.633682131767273},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5369690656661987},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.5324118137359619},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.5037190318107605},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.4964612126350403},{"id":"https://openalex.org/C110342517","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Constant coefficients","level":2,"score":0.4714404344558716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37080061435699463},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3411785364151001},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3329872488975525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21573889255523682},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2010946273803711},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1164943277835846},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0361768823020032","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1134/s0361768823020032","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1536453977","https://openalex.org/W1551177513","https://openalex.org/W1643307874","https://openalex.org/W1655426301","https://openalex.org/W1965010884","https://openalex.org/W2043228773","https://openalex.org/W2067994470","https://openalex.org/W2080394835","https://openalex.org/W2142875888","https://openalex.org/W2172284017","https://openalex.org/W2181498375","https://openalex.org/W2596139562","https://openalex.org/W2601735373","https://openalex.org/W2965218439","https://openalex.org/W3101381764","https://openalex.org/W3133115604","https://openalex.org/W4250716583","https://openalex.org/W4285728116","https://openalex.org/W4300302225"],"related_works":["https://openalex.org/W2078366360","https://openalex.org/W2400581667","https://openalex.org/W4213342640","https://openalex.org/W2049761058","https://openalex.org/W1993693184","https://openalex.org/W2394174381","https://openalex.org/W2020390959","https://openalex.org/W2345019225","https://openalex.org/W2503576560","https://openalex.org/W2047706042"],"abstract_inverted_index":{"An":[0],"algorithm":[1,29,52],"for":[2,7],"solving":[3],"the":[4,19,33],"Cauchy":[5,41],"problem":[6],"a":[8,26],"three-dimensional":[9],"difference":[10,20],"equation":[11,21],"with":[12],"constant":[13],"coefficients":[14,17],"by":[15],"given":[16],"of":[18,40],"and":[22,35,43],"initial":[23],"data":[24],"in":[25,55],"parallelepiped.":[27],"The":[28],"is":[30,53],"based":[31],"on":[32],"Apanovich":[34],"Leirnartas":[36],"theorems":[37],"characterizing":[38],"well-posedness":[39],"problems":[42],"uses":[44],"computer":[45],"algebra":[46],"methods":[47],"to":[48],"achieve":[49],"computational":[50],"efficiency.The":[51],"implemented":[54],"Matlab.":[56]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-02T13:48:15.688549","created_date":"2025-10-10T00:00:00"}
