乐胖代购免代理版

{"id":"https://openalex.org/W2122693219","doi":"https://doi.org/10.1145/355578.366508","title":"Some numerical experiments using Newton's method for nonlinear parabolic and elliptic boundary-value problems","display_name":"Some numerical experiments using Newton's method for nonlinear parabolic and elliptic boundary-value problems","publication_year":1961,"publication_date":"1961-04-01","ids":{"openalex":"https://openalex.org/W2122693219","doi":"https://doi.org/10.1145/355578.366508","mag":"2122693219"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1145/355578.366508","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/355578.366508","source":{"id":"https://openalex.org/S103482838","display_name":"Communications of the ACM","issn_l":"0001-0782","issn":["0001-0782","1557-7317"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/355578.366508","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076973014","display_name":"Richard Bellman","orcid":null},"institutions":[{"id":"https://openalex.org/I1309849503","display_name":"RAND Corporation","ror":"https://ror.org/00f2z7n96","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1309849503"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard Bellman","raw_affiliation_strings":["The RAND Corporation, Santa Monica, CA#TAB#"],"affiliations":[{"raw_affiliation_string":"The RAND Corporation, Santa Monica, CA#TAB#","institution_ids":["https://openalex.org/I1309849503"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070864281","display_name":"M. L. Juncosa","orcid":null},"institutions":[{"id":"https://openalex.org/I1309849503","display_name":"RAND Corporation","ror":"https://ror.org/00f2z7n96","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1309849503"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mario L. Juncosa","raw_affiliation_strings":["The RAND Corporation, Santa Monica, CA#TAB#"],"affiliations":[{"raw_affiliation_string":"The RAND Corporation, Santa Monica, CA#TAB#","institution_ids":["https://openalex.org/I1309849503"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113588041","display_name":"Robert E. Kalaba","orcid":null},"institutions":[{"id":"https://openalex.org/I1309849503","display_name":"RAND Corporation","ror":"https://ror.org/00f2z7n96","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1309849503"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert Kalaba","raw_affiliation_strings":["The RAND Corporation, Santa Monica, CA#TAB#"],"affiliations":[{"raw_affiliation_string":"The RAND Corporation, Santa Monica, CA#TAB#","institution_ids":["https://openalex.org/I1309849503"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.162,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":41,"citation_normalized_percentile":{"value":0.883152,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"4","issue":"4","first_page":"187","last_page":"191"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9989,"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":0.9989,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9981,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9947,"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":[],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7236399},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.58654875},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5768742},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.56201404},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.5555381},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.550861},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5430912},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5310246},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36740857},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.24643841},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13825977},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1145/355578.366508","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/355578.366508","source":{"id":"https://openalex.org/S103482838","display_name":"Communications of the ACM","issn_l":"0001-0782","issn":["0001-0782","1557-7317"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1145/355578.366508","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/355578.366508","source":{"id":"https://openalex.org/S103482838","display_name":"Communications of the ACM","issn_l":"0001-0782","issn":["0001-0782","1557-7317"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":9,"referenced_works":["https://openalex.org/W1495278797","https://openalex.org/W1972616929","https://openalex.org/W2006594589","https://openalex.org/W2085278107","https://openalex.org/W2114306055","https://openalex.org/W2127061658","https://openalex.org/W2167657634","https://openalex.org/W2321180074","https://openalex.org/W3111465197"],"related_works":["https://openalex.org/W43109613","https://openalex.org/W4200527723","https://openalex.org/W3022347918","https://openalex.org/W2995553446","https://openalex.org/W2371138613","https://openalex.org/W2359952343","https://openalex.org/W2239445980","https://openalex.org/W2120455979","https://openalex.org/W2080152487","https://openalex.org/W2048963458"],"abstract_inverted_index":{"Using":[0],"a":[1,6,24],"generalization":[2],"of":[3,10,41],"Newton's":[4],"method,":[5],"non-linear":[7,25],"parabolic":[8],"equation":[9,27],"the":[11,48,57],"form":[12],"u":[13,16,21,28,31,35],"t":[14],"-":[15],"xx":[17,29],"=":[18,33],"g":[19],"(":[20],"),":[22],"and":[23,66],"elliptic":[26],"+":[30],"yy":[32],"e":[34],",":[36],"are":[37],"solved":[38],"numerically.":[39],"Comparison":[40],"these":[42],"results":[43,45],"with":[44],"obtained":[46],"using":[47],"Picard":[49],"iteration":[50],"procedure":[51],"show":[52],"that":[53],"in":[54,63],"many":[55],"cases":[56],"quasilinearization":[58],"method":[59],"offers":[60],"substantial":[61],"advantages":[62],"both":[64],"time":[65],"accuracy.":[67]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2122693219","counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-03-18T21:10:39.578269","created_date":"2016-06-24"}