{"id":"https://openalex.org/W4392111132","doi":"https://doi.org/10.3390/axioms13030143","title":"Optimal Fourth-Order Methods for Multiple Zeros: Design, Convergence Analysis and Applications","display_name":"Optimal Fourth-Order Methods for Multiple Zeros: Design, Convergence Analysis and Applications","publication_year":2024,"publication_date":"2024-02-23","ids":{"openalex":"https://openalex.org/W4392111132","doi":"https://doi.org/10.3390/axioms13030143"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13030143","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13030143","pdf_url":"https://www.mdpi.com/2075-1680/13/3/143/pdf?version=1708694537","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/13/3/143/pdf?version=1708694537","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004397459","display_name":"Sunil Kumar","orcid":"https://orcid.org/0000-0002-8471-5139"},"institutions":[{"id":"https://openalex.org/I101407740","display_name":"Chandigarh University","ror":"https://ror.org/05t4pvx35","country_code":"IN","type":"education","lineage":["https://openalex.org/I101407740"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sunil Kumar","raw_affiliation_strings":["Department of Mathematics, University Centre for Research and Development, Chandigarh University, Mohali 140413, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University Centre for Research and Development, Chandigarh University, Mohali 140413, India","institution_ids":["https://openalex.org/I101407740"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029076054","display_name":"Janak Raj Sharma","orcid":"https://orcid.org/0000-0002-4627-2795"},"institutions":[{"id":"https://openalex.org/I63568130","display_name":"Sant Longowal Institute of Engineering and Technology","ror":"https://ror.org/01n15vy71","country_code":"IN","type":"education","lineage":["https://openalex.org/I63568130"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Janak Raj Sharma","raw_affiliation_strings":["Department of Mathematics, Sant Longowal Institute of Engineering Technology, Longowal 148106, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sant Longowal Institute of Engineering Technology, Longowal 148106, India","institution_ids":["https://openalex.org/I63568130"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006002266","display_name":"Lorentz J\u00e4ntschi","orcid":"https://orcid.org/0000-0001-8524-743X"},"institutions":[{"id":"https://openalex.org/I158333966","display_name":"Technical University of Cluj-Napoca","ror":"https://ror.org/03r8nwp71","country_code":"RO","type":"education","lineage":["https://openalex.org/I158333966"]},{"id":"https://openalex.org/I3125347698","display_name":"Babe\u0219-Bolyai University","ror":"https://ror.org/02rmd1t30","country_code":"RO","type":"education","lineage":["https://openalex.org/I3125347698"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Lorentz J\u00e4ntschi","raw_affiliation_strings":["Department of Physics and Chemistry, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania","Institute of Doctoral Studies, Babe\u015f-Bolyai University, 400084 Cluj-Napoca, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Chemistry, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I158333966"]},{"raw_affiliation_string":"Institute of Doctoral Studies, Babe\u015f-Bolyai University, 400084 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006002266"],"corresponding_institution_ids":["https://openalex.org/I158333966","https://openalex.org/I3125347698"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.4646,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76093849,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"13","issue":"3","first_page":"143","last_page":"143"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9923999905586243,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9871000051498413,"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/convergence","display_name":"Convergence (economics)","score":0.5881738662719727},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5672358274459839},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4924992024898529},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4387868344783783},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3955942392349243},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3697759211063385},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06733638048171997}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5881738662719727},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5672358274459839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4924992024898529},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4387868344783783},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3955942392349243},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3697759211063385},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06733638048171997},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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":2,"locations":[{"id":"doi:10.3390/axioms13030143","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13030143","pdf_url":"https://www.mdpi.com/2075-1680/13/3/143/pdf?version=1708694537","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:6b9deb01386c4620a97bb093a6c6a0d6","is_oa":true,"landing_page_url":"https://doaj.org/article/6b9deb01386c4620a97bb093a6c6a0d6","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 3, p 143 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13030143","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13030143","pdf_url":"https://www.mdpi.com/2075-1680/13/3/143/pdf?version=1708694537","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6899999976158142,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392111132.pdf"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1966366562","https://openalex.org/W1972417972","https://openalex.org/W1982246852","https://openalex.org/W1989809391","https://openalex.org/W2001436769","https://openalex.org/W2010034224","https://openalex.org/W2013195662","https://openalex.org/W2017299431","https://openalex.org/W2032105013","https://openalex.org/W2035380993","https://openalex.org/W2039381603","https://openalex.org/W2078749110","https://openalex.org/W2213022072","https://openalex.org/W2768080874","https://openalex.org/W2917005526","https://openalex.org/W2966120677","https://openalex.org/W2982961745","https://openalex.org/W2990474610","https://openalex.org/W2997905542","https://openalex.org/W3021906145","https://openalex.org/W3036761082","https://openalex.org/W3038757318","https://openalex.org/W3093067222","https://openalex.org/W3106944038","https://openalex.org/W3134686303","https://openalex.org/W3136289413","https://openalex.org/W3159382260","https://openalex.org/W4382238207","https://openalex.org/W4384662160","https://openalex.org/W6641880522","https://openalex.org/W6645806630","https://openalex.org/W6682429911","https://openalex.org/W6688545251"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Nonlinear":[0],"equations":[1],"are":[2,103],"frequently":[3],"encountered":[4],"in":[5,52],"many":[6],"areas":[7],"of":[8,49,64,78,82],"applied":[9],"science":[10],"and":[11,13,24,55,91,106],"engineering,":[12],"they":[14],"require":[15],"efficient":[16,105],"numerical":[17],"methods":[18,33,51,66,102],"to":[19,70],"solve.":[20],"To":[21],"ensure":[22],"quick":[23],"precise":[25],"root":[26],"approximation,":[27],"this":[28],"study":[29,46],"presents":[30],"derivative-free":[31,101],"iterative":[32],"for":[34,87],"finding":[35],"multiple":[36],"zeros":[37],"with":[38],"an":[39],"ideal":[40],"fourth-order":[41],"convergence":[42,63],"rate.":[43],"Furthermore,":[44],"the":[45,50,62,65,71,84,99],"explores":[47],"applications":[48],"both":[53],"real-life":[54],"academic":[56,93],"contexts.":[57],"In":[58],"particular,":[59],"we":[60],"examine":[61],"by":[67],"applying":[68],"them":[69],"problems,":[72],"namely":[73],"Van":[74],"der":[75],"Waals":[76],"equation":[77,86],"state,":[79],"Planck\u2019s":[80],"law":[81],"radiation,":[83],"Manning":[85],"isentropic":[88],"supersonic":[89],"flow":[90],"some":[92],"problems.":[94],"Numerical":[95],"results":[96],"reveal":[97],"that":[98],"proposed":[100],"more":[104],"consistent":[107],"than":[108],"existing":[109],"methods.":[110]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
