{"id":"https://openalex.org/W212726616","doi":"https://doi.org/10.1007/978-3-642-56666-0_40","title":"Factorization of Overdetermined Systems of Linear Partial Differential Equations with Finite-Dimensional Solution Space","display_name":"Factorization of Overdetermined Systems of Linear Partial Differential Equations with Finite-Dimensional Solution Space","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W212726616","doi":"https://doi.org/10.1007/978-3-642-56666-0_40","mag":"212726616"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-56666-0_40","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"book-chapter","type_crossref":"book-chapter","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/A5085359961","display_name":"S. P. Tsar\u00ebv","orcid":"https://orcid.org/0000-0002-9759-6925"},"institutions":[{"id":"https://openalex.org/I4210092539","display_name":"Krasnoyarsk State Pedagogical University","ror":"https://ror.org/00nszah81","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210092539"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Serguei P. Tsarev","raw_affiliation_strings":["Department of Mathematics, Krasnoyarsk State Pedagogical University, Lebedevoi, 89, 660049, Krasnoyarsk, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Krasnoyarsk State Pedagogical University, Lebedevoi, 89, 660049, Krasnoyarsk, Russia","institution_ids":["https://openalex.org/I4210092539"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085359961"],"corresponding_institution_ids":["https://openalex.org/I4210092539"],"apc_list":null,"apc_paid":null,"fwci":1.813,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.814774,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":78,"max":79},"biblio":{"volume":null,"issue":null,"first_page":"529","last_page":"539"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9985,"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"}},"topics":[{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9985,"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"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9977,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9975,"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/overdetermined-system","display_name":"Overdetermined system","score":0.98245716}],"concepts":[{"id":"https://openalex.org/C81901731","wikidata":"https://www.wikidata.org/wiki/Q331348","display_name":"Overdetermined system","level":2,"score":0.98245716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.64409393},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5659717},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5207429},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48311496},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.45128542},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44977826},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.4187798},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19458535},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08562082},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-56666-0_40","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.44,"id":"https://metadata.un.org/sdg/10"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":25,"referenced_works":["https://openalex.org/W125452029","https://openalex.org/W1592091505","https://openalex.org/W1594931873","https://openalex.org/W1979474425","https://openalex.org/W1980662086","https://openalex.org/W1993485537","https://openalex.org/W2006176733","https://openalex.org/W2008320211","https://openalex.org/W2012983552","https://openalex.org/W2025252323","https://openalex.org/W2030668472","https://openalex.org/W2054601525","https://openalex.org/W2085065573","https://openalex.org/W2090499413","https://openalex.org/W2102976686","https://openalex.org/W2103078973","https://openalex.org/W2128311574","https://openalex.org/W2157748663","https://openalex.org/W2171421630","https://openalex.org/W2322288390","https://openalex.org/W2331005958","https://openalex.org/W2950058579","https://openalex.org/W346675831","https://openalex.org/W4229672964","https://openalex.org/W622632975"],"related_works":["https://openalex.org/W2769576174","https://openalex.org/W2605946634","https://openalex.org/W2389340798","https://openalex.org/W233929320","https://openalex.org/W2162324244","https://openalex.org/W2117039930","https://openalex.org/W2019936573","https://openalex.org/W1992589140","https://openalex.org/W1832620898","https://openalex.org/W133208341"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W212726616","counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2024-12-07T20:37:19.555217","created_date":"2016-06-24"}