{"id":"https://openalex.org/W2294595241","doi":"https://doi.org/10.1007/978-3-319-18161-5_39","title":"Interval-Krawczyk Approach for Solving Nonlinear Equations Systems in B-spline Form","display_name":"Interval-Krawczyk Approach for Solving Nonlinear Equations Systems in B-spline Form","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2294595241","doi":"https://doi.org/10.1007/978-3-319-18161-5_39","mag":"2294595241"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-18161-5_39","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-18161-5_39","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","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/A5103701621","display_name":"Dominique Michel","orcid":null},"institutions":[{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Dominique Michel","raw_affiliation_strings":["Laboratory of Theoretical and Applied Computer Science, UFR MIM, University of Lorraine, Ile du Saulcy, 57045, Metz, France"],"affiliations":[{"raw_affiliation_string":"Laboratory of Theoretical and Applied Computer Science, UFR MIM, University of Lorraine, Ile du Saulcy, 57045, Metz, France","institution_ids":["https://openalex.org/I90183372"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091850003","display_name":"Ahmed Zidna","orcid":"https://orcid.org/0000-0001-5757-1515"},"institutions":[{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ahmed Zidna","raw_affiliation_strings":["Laboratory of Theoretical and Applied Computer Science, UFR MIM, University of Lorraine, Ile du Saulcy, 57045, Metz, France"],"affiliations":[{"raw_affiliation_string":"Laboratory of Theoretical and Applied Computer Science, UFR MIM, University of Lorraine, Ile du Saulcy, 57045, Metz, France","institution_ids":["https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103701621"],"corresponding_institution_ids":["https://openalex.org/I90183372"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.11585035,"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":"455","last_page":"465"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9991999864578247,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.7510261535644531},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6695566177368164},{"id":"https://openalex.org/keywords/perfect-spline","display_name":"Perfect spline","score":0.6436684131622314},{"id":"https://openalex.org/keywords/b-spline","display_name":"B-spline","score":0.6302521228790283},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.585599958896637},{"id":"https://openalex.org/keywords/m-spline","display_name":"M-spline","score":0.5846649408340454},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5417249202728271},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5328733325004578},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.50458824634552},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4454605281352997},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34559404850006104},{"id":"https://openalex.org/keywords/thin-plate-spline","display_name":"Thin plate spline","score":0.3439653515815735},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3018484115600586},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.2755645513534546},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25936850905418396},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.090535968542099}],"concepts":[{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.7510261535644531},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6695566177368164},{"id":"https://openalex.org/C205224112","wikidata":"https://www.wikidata.org/wiki/Q4426180","display_name":"Perfect spline","level":5,"score":0.6436684131622314},{"id":"https://openalex.org/C15945459","wikidata":"https://www.wikidata.org/wiki/Q2083109","display_name":"B-spline","level":2,"score":0.6302521228790283},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.585599958896637},{"id":"https://openalex.org/C199765470","wikidata":"https://www.wikidata.org/wiki/Q6712116","display_name":"M-spline","level":5,"score":0.5846649408340454},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5417249202728271},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5328733325004578},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.50458824634552},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4454605281352997},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34559404850006104},{"id":"https://openalex.org/C93132110","wikidata":"https://www.wikidata.org/wiki/Q7784288","display_name":"Thin plate spline","level":4,"score":0.3439653515815735},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3018484115600586},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.2755645513534546},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25936850905418396},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.090535968542099},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-18161-5_39","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-18161-5_39","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-02974477v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02974477","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Modelling, Computation and Optimization in Information Systems and Management Sciences. Advances in Intelligent Systems and Computing, vol 359. Springer, Cham, pp.455-465, 2015, &#x27E8;10.1007/978-3-319-18161-5_39&#x27E9;","raw_type":"Book sections"}],"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/W1496785083","https://openalex.org/W1507872748","https://openalex.org/W1604917823","https://openalex.org/W1984063983","https://openalex.org/W2007919318","https://openalex.org/W2009260776","https://openalex.org/W2019701954","https://openalex.org/W2025810010","https://openalex.org/W2034849564","https://openalex.org/W2041180141","https://openalex.org/W2044271352","https://openalex.org/W2071079582","https://openalex.org/W2080218329","https://openalex.org/W2095069333","https://openalex.org/W2099025530","https://openalex.org/W2125514440","https://openalex.org/W2156549839","https://openalex.org/W2162870748","https://openalex.org/W2399154437","https://openalex.org/W3134527756"],"related_works":["https://openalex.org/W2021789660","https://openalex.org/W2102842245","https://openalex.org/W2054818178","https://openalex.org/W2131662362","https://openalex.org/W58876368","https://openalex.org/W1966142401","https://openalex.org/W2373145785","https://openalex.org/W2156597817","https://openalex.org/W2007919318","https://openalex.org/W2385811782"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"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"}
