{"id":"https://openalex.org/W2001570681","doi":"https://doi.org/10.1007/s10208-008-9039-8","title":"Sufficient Set of Integrability Conditions of\u00a0an\u00a0Orthonomic System","display_name":"Sufficient Set of Integrability Conditions of\u00a0an\u00a0Orthonomic System","publication_year":2009,"publication_date":"2009-01-26","ids":{"openalex":"https://openalex.org/W2001570681","doi":"https://doi.org/10.1007/s10208-008-9039-8","mag":"2001570681"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-008-9039-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-008-9039-8","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/nlin/0605009","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062112225","display_name":"Michal Marvan","orcid":"https://orcid.org/0000-0001-8685-1313"},"institutions":[{"id":"https://openalex.org/I32366509","display_name":"Silesian University in Opava","ror":"https://ror.org/02w4f2z17","country_code":"CZ","type":"education","lineage":["https://openalex.org/I32366509"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Michal Marvan","raw_affiliation_strings":["Mathematical Institute in Opava, Silesian University in Opava, Na Rybn\u00ed\u010dku 1, 746 01, Opava, Czech Republic","Silesian University in Opava, Mathematical Institute in Opava, Na Rybn\u00ed\u010dku 1, 746 01, Opava, Czech Republic#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute in Opava, Silesian University in Opava, Na Rybn\u00ed\u010dku 1, 746 01, Opava, Czech Republic","institution_ids":["https://openalex.org/I32366509"]},{"raw_affiliation_string":"Silesian University in Opava, Mathematical Institute in Opava, Na Rybn\u00ed\u010dku 1, 746 01, Opava, Czech Republic#TAB#","institution_ids":["https://openalex.org/I32366509"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062112225"],"corresponding_institution_ids":["https://openalex.org/I32366509"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7099,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.70089251,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"9","issue":"6","first_page":"651","last_page":"674"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9983000159263611,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9983000159263611,"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/T11416","display_name":"Numerical methods for differential equations","score":0.995199978351593,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9772999882698059,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8372229337692261},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6676806807518005},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6409091353416443},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5736140012741089},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49715307354927063},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.44067448377609253},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2516692876815796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11006590723991394}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8372229337692261},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6676806807518005},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6409091353416443},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5736140012741089},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49715307354927063},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.44067448377609253},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2516692876815796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11006590723991394},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10208-008-9039-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-008-9039-8","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:nlin/0605009","is_oa":true,"landing_page_url":"http://arxiv.org/abs/nlin/0605009","pdf_url":"https://arxiv.org/pdf/nlin/0605009","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:nlin/0605009","is_oa":true,"landing_page_url":"http://arxiv.org/abs/nlin/0605009","pdf_url":"https://arxiv.org/pdf/nlin/0605009","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W34126534","https://openalex.org/W50188890","https://openalex.org/W346675831","https://openalex.org/W600267823","https://openalex.org/W622632975","https://openalex.org/W1481997196","https://openalex.org/W1500907847","https://openalex.org/W1505039103","https://openalex.org/W1511670827","https://openalex.org/W1513060653","https://openalex.org/W1518161435","https://openalex.org/W1533557805","https://openalex.org/W1537258143","https://openalex.org/W1560468705","https://openalex.org/W1574520313","https://openalex.org/W1964125167","https://openalex.org/W1964700393","https://openalex.org/W1971064965","https://openalex.org/W1974198808","https://openalex.org/W1987855642","https://openalex.org/W1993974377","https://openalex.org/W2003131100","https://openalex.org/W2019771377","https://openalex.org/W2022747044","https://openalex.org/W2037765259","https://openalex.org/W2040721207","https://openalex.org/W2043888222","https://openalex.org/W2047164313","https://openalex.org/W2051046060","https://openalex.org/W2080135901","https://openalex.org/W2080548021","https://openalex.org/W2093299949","https://openalex.org/W2128311574","https://openalex.org/W2128687423","https://openalex.org/W2154208952","https://openalex.org/W2165738177","https://openalex.org/W2208838208","https://openalex.org/W2316899444","https://openalex.org/W2951485451","https://openalex.org/W4205529794","https://openalex.org/W4230836784","https://openalex.org/W4245438876","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2366107444","https://openalex.org/W4388145910","https://openalex.org/W2522715116","https://openalex.org/W2952635969","https://openalex.org/W1967096152","https://openalex.org/W2323914380","https://openalex.org/W1983767262","https://openalex.org/W3102517575","https://openalex.org/W4390137086","https://openalex.org/W2947386998"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
