{"id":"https://openalex.org/W2888207646","doi":"https://doi.org/10.1007/978-3-319-99639-4_14","title":"Symbolic-Numerical Algorithms for\u00a0Solving Elliptic Boundary-Value Problems Using Multivariate Simplex Lagrange Elements","display_name":"Symbolic-Numerical Algorithms for\u00a0Solving Elliptic Boundary-Value Problems Using Multivariate Simplex Lagrange Elements","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2888207646","doi":"https://doi.org/10.1007/978-3-319-99639-4_14","mag":"2888207646"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-99639-4_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-99639-4_14","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"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/A5058390375","display_name":"\u0410. \u0410. \u0413\u0443\u0441\u0435\u0432","orcid":"https://orcid.org/0000-0003-4897-6128"},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. A. Gusev","raw_affiliation_strings":["Joint Institute for Nuclear Research, Dubna, Russia"],"affiliations":[{"raw_affiliation_string":"Joint Institute for Nuclear Research, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065468649","display_name":"Vladimir P. Gerdt","orcid":"https://orcid.org/0000-0002-0825-1811"},"institutions":[{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]},{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"V. P. Gerdt","raw_affiliation_strings":["Joint Institute for Nuclear Research, Dubna, Russia","Laboratory of Information Technologies, Joint Institute of Nuclear Research, Dubna, Russia","RUDN University, 6 Miklukho-Maklaya St., Moscow, 117198, Russia"],"affiliations":[{"raw_affiliation_string":"Joint Institute for Nuclear Research, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Laboratory of Information Technologies, Joint Institute of Nuclear Research, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"RUDN University, 6 Miklukho-Maklaya St., Moscow, 117198, Russia","institution_ids":["https://openalex.org/I126527374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082430124","display_name":"\u041e. \u0427\u0443\u043b\u0443\u0443\u043d\u0431\u0430\u0430\u0442\u0430\u0440","orcid":"https://orcid.org/0000-0001-5010-0593"},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]},{"id":"https://openalex.org/I64222039","display_name":"National University of Mongolia","ror":"https://ror.org/04855bv47","country_code":"MN","type":"education","lineage":["https://openalex.org/I64222039"]}],"countries":["MN","RU"],"is_corresponding":false,"raw_author_name":"O. Chuluunbaatar","raw_affiliation_strings":["Institute of Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia","Joint Institute for Nuclear Research, Dubna, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia","institution_ids":["https://openalex.org/I64222039"]},{"raw_affiliation_string":"Joint Institute for Nuclear Research, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006753813","display_name":"\u0413. \u0427\u0443\u043b\u0443\u0443\u043d\u0431\u0430\u0430\u0442\u0430\u0440","orcid":"https://orcid.org/0000-0001-6834-6057"},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]},{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"G. Chuluunbaatar","raw_affiliation_strings":["Joint Institute for Nuclear Research, Dubna, Russia","RUDN University, 6 Miklukho-Maklaya St., Moscow, 117198, Russia"],"affiliations":[{"raw_affiliation_string":"Joint Institute for Nuclear Research, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"RUDN University, 6 Miklukho-Maklaya St., Moscow, 117198, Russia","institution_ids":["https://openalex.org/I126527374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014110455","display_name":"S. I. Vinitsky","orcid":"https://orcid.org/0000-0003-3078-0047"},"institutions":[{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]},{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"S. I. Vinitsky","raw_affiliation_strings":["Joint Institute for Nuclear Research, Dubna, Russia","RUDN University, 6 Miklukho-Maklaya St., Moscow, 117198, Russia"],"affiliations":[{"raw_affiliation_string":"Joint Institute for Nuclear Research, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"RUDN University, 6 Miklukho-Maklaya St., Moscow, 117198, Russia","institution_ids":["https://openalex.org/I126527374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037238412","display_name":"Vladimir L. Derbov","orcid":"https://orcid.org/0000-0001-5450-3963"},"institutions":[{"id":"https://openalex.org/I125219893","display_name":"Saratov State University","ror":"https://ror.org/05jcsqx24","country_code":"RU","type":"education","lineage":["https://openalex.org/I125219893"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"V. L. Derbov","raw_affiliation_strings":["N.G. Chernyshevsky Saratov National Research State University, Saratov, Russia"],"affiliations":[{"raw_affiliation_string":"N.G. Chernyshevsky Saratov National Research State University, Saratov, Russia","institution_ids":["https://openalex.org/I125219893"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075270213","display_name":"A. G\u00f3\u017ad\u017a","orcid":"https://orcid.org/0000-0003-4489-5136"},"institutions":[{"id":"https://openalex.org/I4210086947","display_name":"Institute of Physics","ror":"https://ror.org/000sfad56","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210086947","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I174183983","display_name":"Maria Curie-Sk\u0142odowska University","ror":"https://ror.org/015h0qg34","country_code":"PL","type":"education","lineage":["https://openalex.org/I174183983"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"A. G\u00f3\u017ad\u017a","raw_affiliation_strings":["Institute of Physics, University of M. Curie\u2013Sk\u0142odowska, Lublin, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Physics, University of M. Curie\u2013Sk\u0142odowska, Lublin, Poland","institution_ids":["https://openalex.org/I174183983","https://openalex.org/I4210086947"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045999597","display_name":"P. M. Krassovitskiy","orcid":"https://orcid.org/0000-0001-8145-7974"},"institutions":[{"id":"https://openalex.org/I4210132247","display_name":"National Nuclear Center of the Republic of Kazakhstan","ror":"https://ror.org/02nqtsx95","country_code":"KZ","type":"facility","lineage":["https://openalex.org/I4210132247"]},{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["KZ","RU"],"is_corresponding":false,"raw_author_name":"P. M. Krassovitskiy","raw_affiliation_strings":["Institute of Nuclear Physics, Almaty, Kazakhstan","Joint Institute for Nuclear Research, Dubna, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Nuclear Physics, Almaty, Kazakhstan","institution_ids":["https://openalex.org/I4210132247"]},{"raw_affiliation_string":"Joint Institute for Nuclear Research, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5058390375"],"corresponding_institution_ids":["https://openalex.org/I32699454"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.5556,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.96435272,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"197","last_page":"213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.991100013256073,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.991100013256073,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9890000224113464,"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/T10514","display_name":"Numerical methods in engineering","score":0.9818000197410583,"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/computer-science","display_name":"Computer science","score":0.6315714120864868},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5919298529624939},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.5514038801193237},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5422085523605347},{"id":"https://openalex.org/keywords/simplex-algorithm","display_name":"Simplex algorithm","score":0.5045806169509888},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5025920867919922},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.4504639804363251},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44593337178230286},{"id":"https://openalex.org/keywords/constraint-algorithm","display_name":"Constraint algorithm","score":0.4441588222980499},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4273332357406616},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.37157946825027466},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3079371750354767},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2545209228992462},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15521034598350525},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1398400366306305},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.08699792623519897}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6315714120864868},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5919298529624939},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.5514038801193237},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5422085523605347},{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.5045806169509888},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5025920867919922},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.4504639804363251},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44593337178230286},{"id":"https://openalex.org/C15980293","wikidata":"https://www.wikidata.org/wiki/Q5164368","display_name":"Constraint algorithm","level":3,"score":0.4441588222980499},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4273332357406616},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.37157946825027466},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3079371750354767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2545209228992462},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15521034598350525},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1398400366306305},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.08699792623519897},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-99639-4_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-99639-4_14","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W106669426","https://openalex.org/W1500277748","https://openalex.org/W1964757393","https://openalex.org/W1998796227","https://openalex.org/W2031605731","https://openalex.org/W2038973490","https://openalex.org/W2041523977","https://openalex.org/W2076865563","https://openalex.org/W2087070363","https://openalex.org/W2095817904","https://openalex.org/W2120062331","https://openalex.org/W2123742310","https://openalex.org/W2253030318","https://openalex.org/W2256578114","https://openalex.org/W2291360866","https://openalex.org/W2321310861","https://openalex.org/W2515015531","https://openalex.org/W2595916288","https://openalex.org/W2613062822","https://openalex.org/W2750790682","https://openalex.org/W2751071375"],"related_works":["https://openalex.org/W2390764738","https://openalex.org/W2501873806","https://openalex.org/W3181368311","https://openalex.org/W1965005420","https://openalex.org/W2027241495","https://openalex.org/W2385011829","https://openalex.org/W2028605863","https://openalex.org/W2964250444","https://openalex.org/W2041986371","https://openalex.org/W2888207646"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}
