{"id":"https://openalex.org/W64779521","doi":"https://doi.org/10.1016/b978-0-12-708245-5.50017-8","title":"Numerical Algorithms for Existence Proofs and Error Estimates for Two-Point Boundary Value Problems","display_name":"Numerical Algorithms for Existence Proofs and Error Estimates for Two-Point Boundary Value Problems","publication_year":1990,"publication_date":"1990-01-01","ids":{"openalex":"https://openalex.org/W64779521","doi":"https://doi.org/10.1016/b978-0-12-708245-5.50017-8","mag":"64779521"},"language":"en","primary_location":{"id":"doi:10.1016/b978-0-12-708245-5.50017-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/b978-0-12-708245-5.50017-8","pdf_url":null,"source":{"id":"https://openalex.org/S4306463230","display_name":"Elsevier eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Arithmetic and Self-Validating Numerical Methods","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/A5111849699","display_name":"Johann Michael Schr\u00f6der","orcid":null},"institutions":[{"id":"https://openalex.org/I180923762","display_name":"University of Cologne","ror":"https://ror.org/00rcxh774","country_code":"DE","type":"education","lineage":["https://openalex.org/I180923762"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Johann Schr\u00f6der","raw_affiliation_strings":["Mathematisches Institut der Universit\u00e4t zu K\u00f6ln, Weyertal 86-90, D-5000 Cologne 41, Federal Republic of Germany"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut der Universit\u00e4t zu K\u00f6ln, Weyertal 86-90, D-5000 Cologne 41, Federal Republic of Germany","institution_ids":["https://openalex.org/I180923762"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111849699"],"corresponding_institution_ids":["https://openalex.org/I180923762"],"apc_list":null,"apc_paid":null,"fwci":3.6579,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.89891697,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"247","last_page":"268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9986000061035156,"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":0.9986000061035156,"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":0.9984999895095825,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9983000159263611,"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/mathematical-proof","display_name":"Mathematical proof","score":0.7936058044433594},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5539276003837585},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5455756187438965},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.512428343296051},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.46822330355644226},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4228222966194153},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4111538231372833},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.391487717628479},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3802005648612976},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3494551181793213},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19039124250411987},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14608603715896606},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11946821212768555}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7936058044433594},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5539276003837585},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5455756187438965},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.512428343296051},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.46822330355644226},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4228222966194153},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4111538231372833},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.391487717628479},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3802005648612976},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3494551181793213},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19039124250411987},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14608603715896606},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11946821212768555},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/b978-0-12-708245-5.50017-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/b978-0-12-708245-5.50017-8","pdf_url":null,"source":{"id":"https://openalex.org/S4306463230","display_name":"Elsevier eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Arithmetic and Self-Validating Numerical Methods","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/W82303912","https://openalex.org/W174370412","https://openalex.org/W189663389","https://openalex.org/W199967624","https://openalex.org/W290497421","https://openalex.org/W581164326","https://openalex.org/W1993773596","https://openalex.org/W1993832113","https://openalex.org/W2016907258","https://openalex.org/W2038230325","https://openalex.org/W2050029949","https://openalex.org/W2050434873","https://openalex.org/W2093817972","https://openalex.org/W2517141096","https://openalex.org/W2555655333","https://openalex.org/W2604739317","https://openalex.org/W3148602907","https://openalex.org/W4234364388","https://openalex.org/W4242871999"],"related_works":["https://openalex.org/W2808944898","https://openalex.org/W4254119641","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W4387820098","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W2335653062","https://openalex.org/W2133690079"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
