{"id":"https://openalex.org/W1598459286","doi":"https://doi.org/10.1007/3-540-62598-4_81","title":"Boundary Value Methods for the numerical approximation of ordinary differential equations","display_name":"Boundary Value Methods for the numerical approximation of ordinary differential equations","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1598459286","doi":"https://doi.org/10.1007/3-540-62598-4_81","mag":"1598459286"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-62598-4_81","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-62598-4_81","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/A5036669637","display_name":"Luigi Brugnano","orcid":"https://orcid.org/0000-0002-6290-4107"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Luigi Brugnano","raw_affiliation_strings":["Dipartimento di Energetica, Universit\u00e0 di Firenze, Via C.Lombroso 6/17, 50134, Firenze, Italy","\u2019Universit\u00e0 di Firenze"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Energetica, Universit\u00e0 di Firenze, Via C.Lombroso 6/17, 50134, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"\u2019Universit\u00e0 di Firenze","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036669637"],"corresponding_institution_ids":["https://openalex.org/I45084792"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.937,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.94946809,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"78","last_page":"89"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9977999925613403,"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/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.800311803817749},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.7198273539543152},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6832650899887085},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6716232299804688},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.6006127595901489},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4919995963573456},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.4567583203315735},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.44642165303230286},{"id":"https://openalex.org/keywords/linear-multistep-method","display_name":"Linear multistep method","score":0.41903746128082275},{"id":"https://openalex.org/keywords/numerical-methods-for-ordinary-differential-equations","display_name":"Numerical methods for ordinary differential equations","score":0.4171803593635559},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.38646990060806274},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3542046546936035},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3230588436126709},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1960143744945526},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.16432857513427734},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.14572587609291077}],"concepts":[{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.800311803817749},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.7198273539543152},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6832650899887085},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6716232299804688},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.6006127595901489},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4919995963573456},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4567583203315735},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.44642165303230286},{"id":"https://openalex.org/C65889100","wikidata":"https://www.wikidata.org/wiki/Q1462003","display_name":"Linear multistep method","level":5,"score":0.41903746128082275},{"id":"https://openalex.org/C1164432","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Numerical methods for ordinary differential equations","level":5,"score":0.4171803593635559},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.38646990060806274},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3542046546936035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3230588436126709},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1960143744945526},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.16432857513427734},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.14572587609291077}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/3-540-62598-4_81","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-62598-4_81","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.725.8453","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.725.8453","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.math.unifi.it/users/brugnano/papers/LNCS_1196_%281997%29_78-89.pdf","raw_type":"text"},{"id":"pmh:oai:flore.unifi.it:2158/316668","is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/316668","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"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":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W45418285","https://openalex.org/W1497710305","https://openalex.org/W1983713680","https://openalex.org/W1994869239","https://openalex.org/W1995504856","https://openalex.org/W2007009514","https://openalex.org/W2007276438","https://openalex.org/W2031233998","https://openalex.org/W2077084809","https://openalex.org/W2082291540","https://openalex.org/W2086419024","https://openalex.org/W2094114389","https://openalex.org/W2105245563","https://openalex.org/W2115154862","https://openalex.org/W2117453669","https://openalex.org/W2169938329","https://openalex.org/W2997123088","https://openalex.org/W4255019212","https://openalex.org/W4292929576","https://openalex.org/W4293515545"],"related_works":["https://openalex.org/W832825236","https://openalex.org/W2093871145","https://openalex.org/W2378531610","https://openalex.org/W2136451125","https://openalex.org/W56640444","https://openalex.org/W1579385565","https://openalex.org/W2001563191","https://openalex.org/W2065445194","https://openalex.org/W2360969022","https://openalex.org/W2381493582"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
