{"id":"https://openalex.org/W2894436316","doi":"https://doi.org/10.1504/ijcsm.2018.10016539","title":"A parameter estimation method for stiff ordinary differential equations using particle swarm optimisation","display_name":"A parameter estimation method for stiff ordinary differential equations using particle swarm optimisation","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2894436316","doi":"https://doi.org/10.1504/ijcsm.2018.10016539","mag":"2894436316"},"language":"en","primary_location":{"id":"doi:10.1504/ijcsm.2018.10016539","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijcsm.2018.10016539","pdf_url":null,"source":{"id":"https://openalex.org/S84141356","display_name":"International Journal of Computing Science and Mathematics","issn_l":"1752-5055","issn":["1752-5055","1752-5063"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310317825","host_organization_name":"Inderscience Publishers","host_organization_lineage":["https://openalex.org/P4310317825"],"host_organization_lineage_names":["Inderscience Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computing Science and Mathematics","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/A5048577012","display_name":"Luke J. Venstrom","orcid":"https://orcid.org/0000-0002-2568-4344"},"institutions":[{"id":"https://openalex.org/I149744451","display_name":"Valparaiso University","ror":"https://ror.org/01pp0fx48","country_code":"US","type":"education","lineage":["https://openalex.org/I149744451"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Luke J. Venstrom","raw_affiliation_strings":["Department of Mechanical Engineering, Valparaiso University, Valparaiso, IN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Valparaiso University, Valparaiso, IN, USA","institution_ids":["https://openalex.org/I149744451"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086557464","display_name":"William D Arloff","orcid":null},"institutions":[{"id":"https://openalex.org/I149744451","display_name":"Valparaiso University","ror":"https://ror.org/01pp0fx48","country_code":"US","type":"education","lineage":["https://openalex.org/I149744451"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William Arloff","raw_affiliation_strings":["Department of Mathematics and Statistics, Valparaiso University, Valparaiso, IN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Valparaiso University, Valparaiso, IN, USA","institution_ids":["https://openalex.org/I149744451"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020274878","display_name":"Karl R. B. Schmitt","orcid":null},"institutions":[{"id":"https://openalex.org/I149744451","display_name":"Valparaiso University","ror":"https://ror.org/01pp0fx48","country_code":"US","type":"education","lineage":["https://openalex.org/I149744451"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Karl R.B. Schmitt","raw_affiliation_strings":["Department of Mathematics and Statistics, Department of Computing and Information Sciences, Valparaiso University, Valparaiso, IN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Department of Computing and Information Sciences, Valparaiso University, Valparaiso, IN, USA","institution_ids":["https://openalex.org/I149744451"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048577012"],"corresponding_institution_ids":["https://openalex.org/I149744451"],"apc_list":null,"apc_paid":null,"fwci":0.3939,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.56158469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"9","issue":"5","first_page":"419","last_page":"419"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10192","display_name":"Catalytic Processes in Materials Science","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10192","display_name":"Catalytic Processes in Materials Science","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10030","display_name":"Electrocatalysts for Energy Conversion","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/2105","display_name":"Renewable Energy, Sustainability and the Environment"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11825","display_name":"Catalysis and Oxidation Reactions","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/1503","display_name":"Catalysis"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.8662423491477966},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.787032961845398},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6244666576385498},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5795928239822388},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5739389061927795},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.5396170616149902},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4854181706905365},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.45157378911972046},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.42353254556655884},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.41426998376846313},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3118978440761566},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2876281142234802},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14971047639846802}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.8662423491477966},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.787032961845398},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6244666576385498},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5795928239822388},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5739389061927795},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.5396170616149902},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4854181706905365},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.45157378911972046},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.42353254556655884},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.41426998376846313},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3118978440761566},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2876281142234802},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14971047639846802}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1504/ijcsm.2018.10016539","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijcsm.2018.10016539","pdf_url":null,"source":{"id":"https://openalex.org/S84141356","display_name":"International Journal of Computing Science and Mathematics","issn_l":"1752-5055","issn":["1752-5055","1752-5063"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310317825","host_organization_name":"Inderscience Publishers","host_organization_lineage":["https://openalex.org/P4310317825"],"host_organization_lineage_names":["Inderscience Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computing Science and Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:scholar.valpo.edu:engineering_fac_pub-1107","is_oa":false,"landing_page_url":"https://scholar.valpo.edu/engineering_fac_pub/114","pdf_url":null,"source":{"id":"https://openalex.org/S4306401623","display_name":"ValpoScholar (Valparaiso University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149744451","host_organization_name":"Valparaiso University","host_organization_lineage":["https://openalex.org/I149744451"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Engineering Faculty Publications, Patents, Presentations","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1567102157","https://openalex.org/W1846759314","https://openalex.org/W1970101292","https://openalex.org/W1985592473","https://openalex.org/W1995656941","https://openalex.org/W1998583908","https://openalex.org/W2020982301","https://openalex.org/W2025260071","https://openalex.org/W2047328633","https://openalex.org/W2049204369","https://openalex.org/W2060148409","https://openalex.org/W2087070363","https://openalex.org/W2152237584","https://openalex.org/W2236623899","https://openalex.org/W2283598072","https://openalex.org/W2462927032","https://openalex.org/W2527212776","https://openalex.org/W2543580944","https://openalex.org/W2616842449"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1580703421","https://openalex.org/W2996841952","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4288093367","https://openalex.org/W4382202915"],"abstract_inverted_index":{"We":[0,106],"propose":[1],"a":[2,36,103],"two-step":[3],"method":[4,109],"for":[5,27,58,67,134],"fitting":[6,111],"stiff":[7,21,83],"ordinary":[8],"differential":[9],"equation":[10],"(ODE)":[11],"models":[12],"to":[13,48,71,78,144],"experimental":[14,40],"data.":[15],"The":[16],"first":[17],"step":[18,92],"avoids":[19],"integrating":[20],"ODEs":[22],"during":[23],"the":[24,49,68,82,90,95,112,121,127,135],"unbounded":[25],"search":[26,70],"initial":[28,86],"estimates":[29,57,87],"of":[30,39,74,81,120,137],"model":[31,59,75,99,113,133],"parameters.":[32,60],"To":[33],"avoid":[34],"integration,":[35],"polynomial":[37],"approximation":[38],"data":[41],"is":[42,65],"generated,":[43],"differentiated":[44],"and":[45,117],"compared":[46],"directly":[47],"ODE":[50],"model,":[51],"obtaining":[52],"crude":[53],"but":[54],"physically":[55],"plausible":[56],"Particle":[61],"swarm":[62],"optimisation":[63],"(PSO)":[64],"used":[66],"parameter":[69,100],"overlook":[72],"combinations":[73],"parameters":[76,114],"leading":[77],"undefined":[79],"solutions":[80],"ODE.":[84,96],"After":[85],"are":[88],"determined,":[89],"second":[91],"numerically":[93],"solves":[94],"This":[97],"refines":[98],"values":[101],"through":[102],"bounded":[104],"search.":[105],"demonstrate":[107],"this":[108],"by":[110],"(activation":[115],"energies":[116],"pre-exponential":[118],"factors)":[119],"Arrhenius-based":[122],"temperature-dependent":[123],"kinetic":[124],"coefficients":[125],"in":[126],"shrinking":[128],"core":[129],"solid-state":[130],"chemical":[131],"kinetics":[132],"reduction":[136],"Cobalt":[138,145],"(II,":[139],"III)":[140],"Oxide":[141,147],"(Co\\(_3\\)O\\(_4\\))":[142],"particles":[143],"(II)":[146],"(CoO).":[148]},"counts_by_year":[{"year":2019,"cited_by_count":4}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}