{"id":"https://openalex.org/W2006652720","doi":"https://doi.org/10.1080/00207160212710","title":"Solving a Boundary Value Problem by a Newton-Like Method","display_name":"Solving a Boundary Value Problem by a Newton-Like Method","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2006652720","doi":"https://doi.org/10.1080/00207160212710","mag":"2006652720"},"language":"en","primary_location":{"id":"doi:10.1080/00207160212710","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160212710","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","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/A5046706885","display_name":"J.A. Ezquerro","orcid":"https://orcid.org/0000-0001-8120-167X"},"institutions":[{"id":"https://openalex.org/I168974976","display_name":"Universidad de La Rioja","ror":"https://ror.org/0553yr311","country_code":"ES","type":"education","lineage":["https://openalex.org/I168974976"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"J. A. Ezquerro","raw_affiliation_strings":["Department of Mathematics and Computation , University of La Rioja , C/Luis de Ulloa s/n, Logron\u02dco, 26004, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computation , University of La Rioja , C/Luis de Ulloa s/n, Logron\u02dco, 26004, Spain","institution_ids":["https://openalex.org/I168974976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031891403","display_name":"M. A. Herna \u0301ndez","orcid":null},"institutions":[{"id":"https://openalex.org/I168974976","display_name":"Universidad de La Rioja","ror":"https://ror.org/0553yr311","country_code":"ES","type":"education","lineage":["https://openalex.org/I168974976"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. A. Herna\u00b4ndez","raw_affiliation_strings":["Department of Mathematics and Computation , University of La Rioja , C/Luis de Ulloa s/n, Logron\u02dco, 26004, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computation , University of La Rioja , C/Luis de Ulloa s/n, Logron\u02dco, 26004, Spain","institution_ids":["https://openalex.org/I168974976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015292384","display_name":"M. A. Salanova","orcid":null},"institutions":[{"id":"https://openalex.org/I168974976","display_name":"Universidad de La Rioja","ror":"https://ror.org/0553yr311","country_code":"ES","type":"education","lineage":["https://openalex.org/I168974976"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. A. Salanova","raw_affiliation_strings":["Department of Mathematics and Computation , University of La Rioja , C/Luis de Ulloa s/n, Logron\u02dco, 26004, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computation , University of La Rioja , C/Luis de Ulloa s/n, Logron\u02dco, 26004, Spain","institution_ids":["https://openalex.org/I168974976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046706885"],"corresponding_institution_ids":["https://openalex.org/I168974976"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.13495146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"79","issue":"10","first_page":"1113","last_page":"1120"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":1.0,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":1.0,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9959999918937683,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.979200005531311,"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/mathematics","display_name":"Mathematics","score":0.7801586389541626},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7460224628448486},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.701530396938324},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6757374405860901},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6359946131706238},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.578530490398407},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5254349112510681},{"id":"https://openalex.org/keywords/newton-fractal","display_name":"Newton fractal","score":0.5008108615875244},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4701889753341675},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37887489795684814},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3157339096069336},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.2990490198135376},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.23423126339912415},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13982424139976501},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1291504204273224}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7801586389541626},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7460224628448486},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.701530396938324},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6757374405860901},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6359946131706238},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.578530490398407},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5254349112510681},{"id":"https://openalex.org/C194342247","wikidata":"https://www.wikidata.org/wiki/Q1151001","display_name":"Newton fractal","level":4,"score":0.5008108615875244},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4701889753341675},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37887489795684814},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3157339096069336},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.2990490198135376},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.23423126339912415},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13982424139976501},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1291504204273224},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160212710","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160212710","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6000000238418579,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1968784231","https://openalex.org/W2090963365","https://openalex.org/W2114355749","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W2135686668","https://openalex.org/W2356844075","https://openalex.org/W2225109343","https://openalex.org/W1980417728","https://openalex.org/W84551887","https://openalex.org/W1561729596","https://openalex.org/W2276000398","https://openalex.org/W4303856916","https://openalex.org/W2902913510","https://openalex.org/W1892423286"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,7,14,31,40],"semilocal":[3],"convergence":[4],"study":[5,28],"where":[6],"Newton-like":[8],"method":[9],"is":[10],"used":[11],"to":[12],"solve":[13],"boundary":[15],"value":[16],"problem":[17],"of":[18,25,33,39],"class":[19],"M":[20],";":[21],"as":[22],"an":[23],"application":[24],"the":[26,37],"previous":[27],"by":[29],"means":[30],"scheme":[32],"discretization":[34],"we":[35],"approximate":[36],"solution":[38],"particular":[41],"problem.":[42]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}