{"id":"https://openalex.org/W4405445086","doi":"https://doi.org/10.3390/a17120575","title":"Computational Analysis of Parallel Techniques for Nonlinear Biomedical Engineering Problems","display_name":"Computational Analysis of Parallel Techniques for Nonlinear Biomedical Engineering Problems","publication_year":2024,"publication_date":"2024-12-14","ids":{"openalex":"https://openalex.org/W4405445086","doi":"https://doi.org/10.3390/a17120575"},"language":"en","primary_location":{"id":"doi:10.3390/a17120575","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17120575","pdf_url":"https://www.mdpi.com/1999-4893/17/12/575/pdf?version=1734163357","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/17/12/575/pdf?version=1734163357","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088171412","display_name":"Mudassir Shams","orcid":"https://orcid.org/0000-0002-2980-5801"},"institutions":[{"id":"https://openalex.org/I115600380","display_name":"Bal\u0131kesir University","ror":"https://ror.org/02tv7db43","country_code":"TR","type":"education","lineage":["https://openalex.org/I115600380"]},{"id":"https://openalex.org/I171543936","display_name":"Free University of Bozen-Bolzano","ror":"https://ror.org/012ajp527","country_code":"IT","type":"education","lineage":["https://openalex.org/I171543936"]},{"id":"https://openalex.org/I195024194","display_name":"Riphah International University","ror":"https://ror.org/02kdm5630","country_code":"PK","type":"education","lineage":["https://openalex.org/I195024194"]}],"countries":["IT","PK","TR"],"is_corresponding":false,"raw_author_name":"Mudassir Shams","raw_affiliation_strings":["Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan","Department of Mathematics, Bal\u0131kesir University, 10145 Bal\u0131kesir, Turkey","Faculty of Engineering, Free University of Bozen-Bolzano (BZ), 39100 Bolzano, Italy"],"raw_orcid":"https://orcid.org/0000-0002-2980-5801","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I195024194"]},{"raw_affiliation_string":"Department of Mathematics, Bal\u0131kesir University, 10145 Bal\u0131kesir, Turkey","institution_ids":["https://openalex.org/I115600380"]},{"raw_affiliation_string":"Faculty of Engineering, Free University of Bozen-Bolzano (BZ), 39100 Bolzano, Italy","institution_ids":["https://openalex.org/I171543936"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051748763","display_name":"Bruno Carpentieri","orcid":"https://orcid.org/0000-0002-0516-0033"},"institutions":[{"id":"https://openalex.org/I171543936","display_name":"Free University of Bozen-Bolzano","ror":"https://ror.org/012ajp527","country_code":"IT","type":"education","lineage":["https://openalex.org/I171543936"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Bruno Carpentieri","raw_affiliation_strings":["Faculty of Engineering, Free University of Bozen-Bolzano (BZ), 39100 Bolzano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Free University of Bozen-Bolzano (BZ), 39100 Bolzano, Italy","institution_ids":["https://openalex.org/I171543936"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051748763"],"corresponding_institution_ids":["https://openalex.org/I171543936"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2639104,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"12","first_page":"575","last_page":"575"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.8930000066757202,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.8930000066757202,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.8928999900817871,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.8633000254631042,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5829654932022095},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5829223394393921},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.4015427231788635},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3265368938446045},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25980913639068604},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11045068502426147}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5829654932022095},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5829223394393921},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.4015427231788635},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3265368938446045},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25980913639068604},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11045068502426147},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a17120575","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17120575","pdf_url":"https://www.mdpi.com/1999-4893/17/12/575/pdf?version=1734163357","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:unibz.it:11332237720001241","is_oa":true,"landing_page_url":"https://www.mdpi.com/1999-4893/17/12/575","pdf_url":"https://www.mdpi.com/1999-4893/17/12/575/pdf","source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:doaj.org/article:bfea8e50a0f44ba5b84e61975b663df1","is_oa":true,"landing_page_url":"https://doaj.org/article/bfea8e50a0f44ba5b84e61975b663df1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 17, Iss 12, p 575 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a17120575","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17120575","pdf_url":"https://www.mdpi.com/1999-4893/17/12/575/pdf?version=1734163357","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4623388553","display_name":null,"funder_award_id":"I53C22002100003","funder_id":"https://openalex.org/F4320325400","funder_display_name":"Libera Universit\u00e0 di Bolzano"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320325400","display_name":"Libera Universit\u00e0 di Bolzano","ror":"https://ror.org/012ajp527"},{"id":"https://openalex.org/F4320328864","display_name":"Provincia autonoma di Bolzano - Alto Adige","ror":null},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405445086.pdf","grobid_xml":"https://content.openalex.org/works/W4405445086.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W432214373","https://openalex.org/W1547259510","https://openalex.org/W2015472439","https://openalex.org/W2020743259","https://openalex.org/W2043097044","https://openalex.org/W2048125276","https://openalex.org/W2057063935","https://openalex.org/W2068980412","https://openalex.org/W2082340837","https://openalex.org/W2105169587","https://openalex.org/W2111607671","https://openalex.org/W2235325310","https://openalex.org/W2344831632","https://openalex.org/W2412190802","https://openalex.org/W2429632541","https://openalex.org/W2595945281","https://openalex.org/W3020930839","https://openalex.org/W3037918551","https://openalex.org/W3159475215","https://openalex.org/W3216642120","https://openalex.org/W4212864768","https://openalex.org/W4245291382","https://openalex.org/W4306844762","https://openalex.org/W4386416038","https://openalex.org/W4388068052","https://openalex.org/W4389200778","https://openalex.org/W4389542333","https://openalex.org/W4390591514","https://openalex.org/W4390790686","https://openalex.org/W4390904369","https://openalex.org/W4391656058","https://openalex.org/W4392413417","https://openalex.org/W4393279733","https://openalex.org/W4399207981","https://openalex.org/W4400821058","https://openalex.org/W4402990823","https://openalex.org/W4404242735","https://openalex.org/W6607333480","https://openalex.org/W6651231001","https://openalex.org/W6672424416","https://openalex.org/W6676593070","https://openalex.org/W6683908940","https://openalex.org/W6731338704","https://openalex.org/W6836901792","https://openalex.org/W6889810118"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"we":[3,61],"develop":[4],"new":[5],"efficient":[6],"parallel":[7,24,51,97],"techniques":[8,25,98],"for":[9,110],"solving":[10],"both":[11],"distinct":[12],"and":[13,46,59,76,89,126],"multiple":[14],"roots":[15],"of":[16,36,48,82],"nonlinear":[17],"problems":[18,113],"at":[19,63],"the":[20,31,37,43,49,55,95,100],"same":[21],"time.":[22],"The":[23,103],"represent":[26],"an":[27],"innovative":[28],"contribution":[29],"to":[30,118],"discipline,":[32],"with":[33],"local":[34],"convergence":[35,45,83],"ninth":[38],"order.":[39],"Theoretical":[40],"research":[41],"shows":[42],"rapid":[44],"effectiveness":[47],"proposed":[50,104],"schemes.":[52],"To":[53],"assess":[54],"suggested":[56],"scheme\u2019s":[57],"stability":[58],"consistency,":[60],"look":[62],"certain":[64],"biomedical":[65,115],"engineering":[66],"applications,":[67],"such":[68],"as":[69],"osteoporosis":[70],"in":[71,114,121],"Chinese":[72],"women,":[73],"blood":[74],"rheology,":[75],"differential":[77],"equations.":[78],"Overall,":[79],"detailed":[80],"analyses":[81],"behavior,":[84],"memory":[85,122],"utilization,":[86],"computational":[87,91,112],"time,":[88,125],"percentage":[90],"efficiency":[92],"show":[93],"that":[94],"novel":[96],"outperform":[99],"traditional":[101],"methods.":[102],"methods":[105],"would":[106],"be":[107],"more":[108],"suitable":[109],"large-scale":[111],"applications":[116],"due":[117],"their":[119],"advantages":[120],"efficiency,":[123],"CPU":[124],"error":[127],"reduction.":[128]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}