{"id":"https://openalex.org/W2967933386","doi":"https://doi.org/10.1007/978-3-030-26831-2_23","title":"On Explicit Difference Schemes for Autonomous Systems of Differential Equations on Manifolds","display_name":"On Explicit Difference Schemes for Autonomous Systems of Differential Equations on Manifolds","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2967933386","doi":"https://doi.org/10.1007/978-3-030-26831-2_23","mag":"2967933386"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-26831-2_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-26831-2_23","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/A5064191017","display_name":"\u0415. A. Ayryan","orcid":"https://orcid.org/0000-0001-6478-4041"},"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":false,"raw_author_name":"E. A. Ayryan","raw_affiliation_strings":["Joint Institute for Nuclear Research (Dubna), Joliot-Curie, 6, Dubna, Moscow Region, 141980, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Joint Institute for Nuclear Research (Dubna), Joliot-Curie, 6, Dubna, Moscow Region, 141980, Russia","institution_ids":["https://openalex.org/I32699454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021335054","display_name":"\u041c. \u0414. \u041c\u0430\u043b\u044b\u0445","orcid":"https://orcid.org/0000-0001-6541-6603"},"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"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"M. D. Malykh","raw_affiliation_strings":["Department of Applied Probability and Informatics, Peoples\u2019 Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russia","Department of Applied Probability and Informatics, Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russia"],"raw_orcid":"https://orcid.org/0000-0001-6541-6603","affiliations":[{"raw_affiliation_string":"Department of Applied Probability and Informatics, Peoples\u2019 Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russia","institution_ids":["https://openalex.org/I126527374"]},{"raw_affiliation_string":"Department of Applied Probability and Informatics, Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russia","institution_ids":["https://openalex.org/I126527374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042102805","display_name":"Leonid A. Sevastianov","orcid":"https://orcid.org/0000-0002-1856-4643"},"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":"L. A. Sevastianov","raw_affiliation_strings":["Department of Applied Probability and Informatics, Peoples\u2019 Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russia","Joint Institute for Nuclear Research (Dubna), Joliot-Curie, 6, Dubna, Moscow Region, 141980, Russia","Department of Applied Probability and Informatics, Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russia"],"raw_orcid":"https://orcid.org/0000-0002-1856-4643","affiliations":[{"raw_affiliation_string":"Department of Applied Probability and Informatics, Peoples\u2019 Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russia","institution_ids":["https://openalex.org/I126527374"]},{"raw_affiliation_string":"Joint Institute for Nuclear Research (Dubna), Joliot-Curie, 6, Dubna, Moscow Region, 141980, Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Department of Applied Probability and Informatics, Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russia","institution_ids":["https://openalex.org/I126527374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023263037","display_name":"Ying Yu","orcid":"https://orcid.org/0000-0002-4105-2566"},"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/I4210119635","display_name":"Kaili University","ror":"https://ror.org/02hzqbc55","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210119635"]}],"countries":["CN","RU"],"is_corresponding":false,"raw_author_name":"Yu Ying","raw_affiliation_strings":["Department of Algebra and Geometry, Kaili University, 3 Kaiyuan Road, Kaili, 556011, China","Department of Applied Probability and Informatics, Peoples\u2019 Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russia","Department of Applied Probability and Informatics, Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Algebra and Geometry, Kaili University, 3 Kaiyuan Road, Kaili, 556011, China","institution_ids":["https://openalex.org/I4210119635"]},{"raw_affiliation_string":"Department of Applied Probability and Informatics, Peoples\u2019 Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russia","institution_ids":["https://openalex.org/I126527374"]},{"raw_affiliation_string":"Department of Applied Probability and Informatics, Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russia","institution_ids":["https://openalex.org/I126527374"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5021335054"],"corresponding_institution_ids":["https://openalex.org/I126527374"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":6.5258,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.97943038,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"343","last_page":"361"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9990000128746033,"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/T11416","display_name":"Numerical methods for differential equations","score":0.998199999332428,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9692000150680542,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.7046517729759216},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6819700598716736},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6511828899383545},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5982498526573181},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5218511819839478},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.5043255090713501},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.45531165599823},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4543076157569885},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4527062773704529},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.414314866065979},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4113847315311432},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32310348749160767}],"concepts":[{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.7046517729759216},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6819700598716736},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6511828899383545},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5982498526573181},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5218511819839478},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.5043255090713501},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.45531165599823},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4543076157569885},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4527062773704529},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.414314866065979},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4113847315311432},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32310348749160767},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-26831-2_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-26831-2_23","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W9124626","https://openalex.org/W580402397","https://openalex.org/W1498264388","https://openalex.org/W1506991104","https://openalex.org/W1529400074","https://openalex.org/W1544770838","https://openalex.org/W1896102805","https://openalex.org/W1968499326","https://openalex.org/W1969449134","https://openalex.org/W2004577684","https://openalex.org/W2189497371","https://openalex.org/W2207946215","https://openalex.org/W2584956999","https://openalex.org/W2781248591","https://openalex.org/W2908870692","https://openalex.org/W2947056241","https://openalex.org/W4248269519","https://openalex.org/W4255754126","https://openalex.org/W4295124794"],"related_works":["https://openalex.org/W137103153","https://openalex.org/W4200024091","https://openalex.org/W120789411","https://openalex.org/W3102151943","https://openalex.org/W2999616507","https://openalex.org/W2748563398","https://openalex.org/W3164276969","https://openalex.org/W2028013682","https://openalex.org/W2049253768","https://openalex.org/W2047656848"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}