{"id":"https://openalex.org/W3196108447","doi":"https://doi.org/10.1007/s00366-021-01494-5","title":"Manta ray foraging and Gaussian mutation-based elephant herding optimization for global optimization","display_name":"Manta ray foraging and Gaussian mutation-based elephant herding optimization for global optimization","publication_year":2021,"publication_date":"2021-08-24","ids":{"openalex":"https://openalex.org/W3196108447","doi":"https://doi.org/10.1007/s00366-021-01494-5","mag":"3196108447"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-021-01494-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-021-01494-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-021-01494-5.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00366-021-01494-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072347510","display_name":"Yuxian Duan","orcid":"https://orcid.org/0000-0002-4780-217X"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuxian Duan","raw_affiliation_strings":["Air and Missile Defense College, Air Force Engineering University, Xi\u2019an, China","Graduate College, Air Force Engineering University, Xi\u2019an, China","Graduate College, Air Force Engineering University, Xi'an, China","Air and Missile Defense College, Air Force Engineering University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Air and Missile Defense College, Air Force Engineering University, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Graduate College, Air Force Engineering University, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Graduate College, Air Force Engineering University, Xi'an, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Air and Missile Defense College, Air Force Engineering University, Xi'an, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040016987","display_name":"Changyun Liu","orcid":"https://orcid.org/0000-0002-9872-7982"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changyun Liu","raw_affiliation_strings":["Air and Missile Defense College, Air Force Engineering University, Xi\u2019an, China","Air and Missile Defense College, Air Force Engineering University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Air and Missile Defense College, Air Force Engineering University, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Air and Missile Defense College, Air Force Engineering University, Xi'an, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100448180","display_name":"Song Li","orcid":"https://orcid.org/0000-0001-5611-1517"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Song Li","raw_affiliation_strings":["Air and Missile Defense College, Air Force Engineering University, Xi\u2019an, China","Air and Missile Defense College, Air Force Engineering University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Air and Missile Defense College, Air Force Engineering University, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Air and Missile Defense College, Air Force Engineering University, Xi'an, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103072120","display_name":"Xiangke Guo","orcid":"https://orcid.org/0000-0001-6345-0760"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangke Guo","raw_affiliation_strings":["Air and Missile Defense College, Air Force Engineering University, Xi\u2019an, China","Air and Missile Defense College, Air Force Engineering University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Air and Missile Defense College, Air Force Engineering University, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Air and Missile Defense College, Air Force Engineering University, Xi'an, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101709695","display_name":"Chunlin Yang","orcid":"https://orcid.org/0000-0002-6548-3416"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunlin Yang","raw_affiliation_strings":["Air Traffic Control and Navigation College, Air Force Engineering University, Xi\u2019an, China","Graduate College, Air Force Engineering University, Xi\u2019an, China","Graduate College, Air Force Engineering University, Xi'an, China","Air Traffic Control and Navigation College, Air Force Engineering University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Air Traffic Control and Navigation College, Air Force Engineering University, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Graduate College, Air Force Engineering University, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Graduate College, Air Force Engineering University, Xi'an, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Air Traffic Control and Navigation College, Air Force Engineering University, Xi'an, China","institution_ids":["https://openalex.org/I4210104252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100448180"],"corresponding_institution_ids":["https://openalex.org/I4210104252"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":2.8553,"has_fulltext":true,"cited_by_count":28,"citation_normalized_percentile":{"value":0.92260017,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"39","issue":"2","first_page":"1085","last_page":"1125"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9865999817848206,"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"}},{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9860000014305115,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/benchmark","display_name":"Benchmark (surveying)","score":0.6516493558883667},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.647702693939209},{"id":"https://openalex.org/keywords/herding","display_name":"Herding","score":0.6147727966308594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5565796494483948},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5556471347808838},{"id":"https://openalex.org/keywords/metaheuristic","display_name":"Metaheuristic","score":0.528198778629303},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4985482692718506},{"id":"https://openalex.org/keywords/swarm-intelligence","display_name":"Swarm intelligence","score":0.47484758496284485},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.47195377945899963},{"id":"https://openalex.org/keywords/foraging","display_name":"Foraging","score":0.45289507508277893},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4527481198310852},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4344535768032074},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.4303811192512512},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4257630705833435},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24152031540870667},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.23782026767730713},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.23768219351768494},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.11207002401351929},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.09788590669631958}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6516493558883667},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.647702693939209},{"id":"https://openalex.org/C177605951","wikidata":"https://www.wikidata.org/wiki/Q1484503","display_name":"Herding","level":2,"score":0.6147727966308594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5565796494483948},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5556471347808838},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.528198778629303},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4985482692718506},{"id":"https://openalex.org/C119487961","wikidata":"https://www.wikidata.org/wiki/Q863960","display_name":"Swarm intelligence","level":3,"score":0.47484758496284485},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.47195377945899963},{"id":"https://openalex.org/C165287380","wikidata":"https://www.wikidata.org/wiki/Q2916569","display_name":"Foraging","level":2,"score":0.45289507508277893},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4527481198310852},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4344535768032074},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.4303811192512512},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4257630705833435},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24152031540870667},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.23782026767730713},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.23768219351768494},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.11207002401351929},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.09788590669631958},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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/C97137747","wikidata":"https://www.wikidata.org/wiki/Q38112","display_name":"Forestry","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00366-021-01494-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-021-01494-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-021-01494-5.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00366-021-01494-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-021-01494-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-021-01494-5.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3006619586","display_name":null,"funder_award_id":"61703426","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3196108447.pdf","grobid_xml":"https://content.openalex.org/works/W3196108447.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W1595159159","https://openalex.org/W1993885071","https://openalex.org/W1999284878","https://openalex.org/W2020009149","https://openalex.org/W2025500642","https://openalex.org/W2039577332","https://openalex.org/W2096166399","https://openalex.org/W2121044470","https://openalex.org/W2143560894","https://openalex.org/W2151554678","https://openalex.org/W2156773695","https://openalex.org/W2165466912","https://openalex.org/W2167580870","https://openalex.org/W2168081761","https://openalex.org/W2290883490","https://openalex.org/W2548689618","https://openalex.org/W2563442283","https://openalex.org/W2783827472","https://openalex.org/W2811079303","https://openalex.org/W2900174322","https://openalex.org/W2904250082","https://openalex.org/W2907672705","https://openalex.org/W2913077524","https://openalex.org/W2914717758","https://openalex.org/W2919979744","https://openalex.org/W2922490081","https://openalex.org/W2943291991","https://openalex.org/W2982453621","https://openalex.org/W2985845430","https://openalex.org/W3007269060","https://openalex.org/W3008086347","https://openalex.org/W3014974411","https://openalex.org/W3037549016","https://openalex.org/W3038102268","https://openalex.org/W3044434476","https://openalex.org/W3087652231","https://openalex.org/W3088041907","https://openalex.org/W3091960796","https://openalex.org/W3092567562","https://openalex.org/W3094225359","https://openalex.org/W3094320595","https://openalex.org/W3094515844","https://openalex.org/W3099508513","https://openalex.org/W3108785343","https://openalex.org/W3116243993","https://openalex.org/W3116823913","https://openalex.org/W3118635379","https://openalex.org/W3119316557","https://openalex.org/W3120006070","https://openalex.org/W3120613588","https://openalex.org/W3123468719","https://openalex.org/W3126971459","https://openalex.org/W3128436496","https://openalex.org/W3129061801","https://openalex.org/W3134651880","https://openalex.org/W3154719286","https://openalex.org/W4234632613","https://openalex.org/W4250503569"],"related_works":["https://openalex.org/W4200081355","https://openalex.org/W3081944365","https://openalex.org/W2135179174","https://openalex.org/W1932300341","https://openalex.org/W2294784349","https://openalex.org/W2890381285","https://openalex.org/W2807952458","https://openalex.org/W2474821701","https://openalex.org/W2027276116","https://openalex.org/W2361792200"],"abstract_inverted_index":{"Abstract":[0],"The":[1,63,101,181,208],"elephant":[2,21],"herding":[3],"optimization":[4,61],"(EHO)":[5],"algorithm":[6,50,71],"is":[7,29,72,94,104,143,186,200,215],"a":[8,36,90,115,160,216],"novel":[9],"metaheuristic":[10,148],"optimizer":[11],"inspired":[12],"by":[13,74],"the":[14,68,75,108,122,135,140,174],"clan":[15,64],"renewal":[16],"and":[17,28,55,99,157,169,196],"separation":[18],"behaviors":[19],"of":[20,38,79,124,137,176,193],"populations.":[22],"Although":[23],"it":[24,33],"has":[25],"few":[26],"parameters":[27],"easy":[30],"to":[31,41,84,96,106,113,133,188,202],"implement,":[32],"suffers":[34],"from":[35,154,178],"lack":[37],"exploitation,":[39],"leading":[40],"slow":[42],"convergence.":[43],"This":[44],"paper":[45],"proposes":[46],"an":[47],"improved":[48],"EHO":[49,58,70],"called":[51],"manta":[52,80],"ray":[53],"foraging":[54,77],"Gaussian":[56],"mutation-based":[57],"for":[59,220],"global":[60],"(MGEHO).":[62],"updating":[65],"operator":[66],"in":[67,191],"original":[69],"replaced":[73],"somersault":[76],"strategy":[78],"rays,":[81],"which":[82],"aims":[83],"optimally":[85],"adjust":[86],"patriarch":[87],"positions.":[88],"Additionally,":[89],"dynamic":[91],"convergence":[92,163],"factor":[93],"set":[95],"balance":[97],"exploration":[98],"exploitation.":[100],"gaussian":[102],"mutation":[103],"adopted":[105],"enhance":[107],"population":[109],"diversity,":[110],"enabling":[111],"MGEHO":[112,177,185,199],"maintain":[114],"strong":[116],"local":[117],"search":[118],"capability.":[119],"To":[120],"evaluate":[121],"performances":[123],"different":[125],"algorithms,":[126],"33":[127],"classical":[128],"benchmark":[129,152],"functions":[130,153],"are":[131],"chosen":[132],"verify":[134],"superiority":[136],"MGEHO.":[138],"Also,":[139],"enhanced":[141],"paradigm":[142],"compared":[144],"with":[145],"other":[146,189],"advanced":[147],"algorithms":[149,190],"on":[150],"32":[151],"IEEE":[155],"CEC2014":[156],"CEC2017.":[158],"Furthermore,":[159],"scalability":[161],"test,":[162],"analysis,":[164,166,168],"statistical":[165],"diversity":[167],"running":[170],"time":[171],"analysis":[172],"demonstrate":[173],"effectiveness":[175],"various":[179],"aspects.":[180],"results":[182,210],"illustrate":[183],"that":[184,212],"superior":[187],"terms":[192],"solution":[194],"accuracy":[195],"stability.":[197],"Finally,":[198],"applied":[201],"solve":[203],"three":[204],"real":[205],"engineering":[206],"problems.":[207,223],"comparison":[209],"show":[211],"this":[213],"method":[214],"powerful":[217],"auxiliary":[218],"tool":[219],"handling":[221],"complex":[222]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
