{"id":"https://openalex.org/W1602599719","doi":"https://doi.org/10.1007/978-3-642-15274-0_23","title":"Derivation of Explicit Difference Schemes for Ordinary Differential Equations with the Aid of Lagrange\u2013Burmann Expansions","display_name":"Derivation of Explicit Difference Schemes for Ordinary Differential Equations with the Aid of Lagrange\u2013Burmann Expansions","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1602599719","doi":"https://doi.org/10.1007/978-3-642-15274-0_23","mag":"1602599719"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-15274-0_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-15274-0_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/A5016078815","display_name":"Evgenii V. Vorozhtsov","orcid":"https://orcid.org/0000-0003-2753-8399"},"institutions":[{"id":"https://openalex.org/I4210127387","display_name":"Siberian Branch of the Russian Academy of Sciences","ror":"https://ror.org/02frkq021","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210127387"]},{"id":"https://openalex.org/I4210120969","display_name":"Institute of Theoretical and Applied Mechanics","ror":"https://ror.org/02azz6x90","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210120969","https://openalex.org/I4210127387","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Evgenii V. Vorozhtsov","raw_affiliation_strings":["Khristianovich Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences, Novosibirsk, 630090, Russia","Russian Academy of Sciences,, 630090, Novosibirsk, Russia"],"affiliations":[{"raw_affiliation_string":"Khristianovich Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences, Novosibirsk, 630090, Russia","institution_ids":["https://openalex.org/I4210120969"]},{"raw_affiliation_string":"Russian Academy of Sciences,, 630090, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210127387"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016078815"],"corresponding_institution_ids":["https://openalex.org/I4210120969","https://openalex.org/I4210127387"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.8689,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.80692168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"250","last_page":"266"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991999864578247,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9988999962806702,"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/ode","display_name":"Ode","score":0.816497266292572},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.7605379223823547},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.72857666015625},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5465447902679443},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5101025700569153},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4921223521232605},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.477815181016922},{"id":"https://openalex.org/keywords/numerical-methods-for-ordinary-differential-equations","display_name":"Numerical methods for ordinary differential equations","score":0.47098562121391296},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.43062758445739746},{"id":"https://openalex.org/keywords/backward-differentiation-formula","display_name":"Backward differentiation formula","score":0.4245205521583557},{"id":"https://openalex.org/keywords/l-stability","display_name":"L-stability","score":0.41950976848602295},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3960633873939514},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29227209091186523},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.19189980626106262},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08208981156349182}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.816497266292572},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.7605379223823547},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.72857666015625},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5465447902679443},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5101025700569153},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4921223521232605},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.477815181016922},{"id":"https://openalex.org/C1164432","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Numerical methods for ordinary differential equations","level":5,"score":0.47098562121391296},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.43062758445739746},{"id":"https://openalex.org/C152522140","wikidata":"https://www.wikidata.org/wiki/Q795746","display_name":"Backward differentiation formula","level":5,"score":0.4245205521583557},{"id":"https://openalex.org/C165242687","wikidata":"https://www.wikidata.org/wiki/Q277932","display_name":"L-stability","level":5,"score":0.41950976848602295},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3960633873939514},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29227209091186523},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.19189980626106262},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08208981156349182},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-15274-0_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-15274-0_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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W645454122","https://openalex.org/W1529498073","https://openalex.org/W1902819800","https://openalex.org/W1964070472","https://openalex.org/W1972574198","https://openalex.org/W2006921957","https://openalex.org/W2019230842","https://openalex.org/W2043577075","https://openalex.org/W2053909454","https://openalex.org/W2062391294","https://openalex.org/W2498873281","https://openalex.org/W2582972221","https://openalex.org/W2981569720","https://openalex.org/W3021593381","https://openalex.org/W3141390961","https://openalex.org/W4299532496"],"related_works":["https://openalex.org/W2088005785","https://openalex.org/W2068100081","https://openalex.org/W797453289","https://openalex.org/W832825236","https://openalex.org/W2378531610","https://openalex.org/W2278428637","https://openalex.org/W2136451125","https://openalex.org/W181143595","https://openalex.org/W4211042180","https://openalex.org/W2956395387"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
