{"id":"https://openalex.org/W2087152559","doi":"https://doi.org/10.1007/s11075-010-9387-8","title":"Newton methods for a class of nonlinear hypersingular integral equations","display_name":"Newton methods for a class of nonlinear hypersingular integral equations","publication_year":2010,"publication_date":"2010-05-04","ids":{"openalex":"https://openalex.org/W2087152559","doi":"https://doi.org/10.1007/s11075-010-9387-8","mag":"2087152559"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-010-9387-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-010-9387-8","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","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/A5028530267","display_name":"Maria Rosaria Capobianco","orcid":"https://orcid.org/0000-0001-5333-1944"},"institutions":[{"id":"https://openalex.org/I4210106125","display_name":"Istituto per le Applicazioni del Calcolo Mauro Picone","ror":"https://ror.org/00ygy3d85","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210106125","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Maria Rosaria Capobianco","raw_affiliation_strings":["Istituto per le Applicazioni del Calcolo \u201cMauro Picone\u201d\u2014CNR, Sezione di Napoli, Via Pietro Castellino 111, 80131, Napoli, Italy","Istituto per le Applicazioni del Calcolo Mauro Picone--CNR, Napoli, Italy 80131#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto per le Applicazioni del Calcolo \u201cMauro Picone\u201d\u2014CNR, Sezione di Napoli, Via Pietro Castellino 111, 80131, Napoli, Italy","institution_ids":["https://openalex.org/I4210106125"]},{"raw_affiliation_string":"Istituto per le Applicazioni del Calcolo Mauro Picone--CNR, Napoli, Italy 80131#TAB#","institution_ids":["https://openalex.org/I4210106125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091132877","display_name":"Giuliana Criscuolo","orcid":"https://orcid.org/0000-0001-9855-2871"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuliana Criscuolo","raw_affiliation_strings":["Dipartimento di Matematica e Applicazioni, Universit\u00e0 degli Studi di Napoli \u201cFederico II\u201d, Complesso Monte Sant\u2019Angelo, Edificio T, Via Cintia, 80126, Napoli, Italy","Dipartimento di Matematica e Applicazioni, Universit\u00e0 degli Studi di Napoli Federico II, Napoli, Italy 80126"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Applicazioni, Universit\u00e0 degli Studi di Napoli \u201cFederico II\u201d, Complesso Monte Sant\u2019Angelo, Edificio T, Via Cintia, 80126, Napoli, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Dipartimento di Matematica e Applicazioni, Universit\u00e0 degli Studi di Napoli Federico II, Napoli, Italy 80126","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062532965","display_name":"Peter Junghanns","orcid":"https://orcid.org/0000-0002-9781-3862"},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter Junghanns","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Technische Universit\u00e4t Chemnitz, Reichenhainer Str. 39, 09126, Chemnitz, Germany","Fakult\u00e4t f\u00fcr Mathematik, Technische Universit\u00e4t Chemnitz, Chemnitz, Germany 09126#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Technische Universit\u00e4t Chemnitz, Reichenhainer Str. 39, 09126, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Technische Universit\u00e4t Chemnitz, Chemnitz, Germany 09126#TAB#","institution_ids":["https://openalex.org/I2610724"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028530267"],"corresponding_institution_ids":["https://openalex.org/I4210106125"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.08762745,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"55","issue":"2-3","first_page":"205","last_page":"221"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9995999932289124,"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/T10514","display_name":"Numerical methods in engineering","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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":0.9972000122070312,"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":0.8695758581161499},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.7277028560638428},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6791824102401733},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.606645941734314},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5951157808303833},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.5883071422576904},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5823989510536194},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5509126782417297},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5214211940765381},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.50689297914505},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.46116891503334045},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.45227792859077454},{"id":"https://openalex.org/keywords/prandtl-number","display_name":"Prandtl number","score":0.4364827275276184},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43123212456703186},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41220107674598694},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.15697672963142395},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.1149534285068512},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08493667840957642},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06919971108436584}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8695758581161499},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.7277028560638428},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6791824102401733},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.606645941734314},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5951157808303833},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.5883071422576904},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5823989510536194},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5509126782417297},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5214211940765381},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.50689297914505},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.46116891503334045},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.45227792859077454},{"id":"https://openalex.org/C72687893","wikidata":"https://www.wikidata.org/wiki/Q815306","display_name":"Prandtl number","level":3,"score":0.4364827275276184},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43123212456703186},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41220107674598694},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.15697672963142395},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1149534285068512},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08493667840957642},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06919971108436584},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.0},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-010-9387-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-010-9387-8","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W26440877","https://openalex.org/W1964387420","https://openalex.org/W1969202170","https://openalex.org/W1977010688","https://openalex.org/W2020309694","https://openalex.org/W2066081683","https://openalex.org/W2078367878","https://openalex.org/W2089770694","https://openalex.org/W2090238936","https://openalex.org/W2166950574","https://openalex.org/W2332683290","https://openalex.org/W2520216548","https://openalex.org/W4241654676"],"related_works":["https://openalex.org/W2078318892","https://openalex.org/W2791210196","https://openalex.org/W1987365920","https://openalex.org/W322101810","https://openalex.org/W2384941625","https://openalex.org/W2131278000","https://openalex.org/W2889856026","https://openalex.org/W2009058751","https://openalex.org/W2478942264","https://openalex.org/W1989122168"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}