{"id":"https://openalex.org/W2963401669","doi":"https://doi.org/10.1137/12087606x","title":"Asymptotic Preserving Implicit-Explicit Runge--Kutta Methods for Nonlinear Kinetic Equations","display_name":"Asymptotic Preserving Implicit-Explicit Runge--Kutta Methods for Nonlinear Kinetic Equations","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2963401669","doi":"https://doi.org/10.1137/12087606x","mag":"2963401669"},"language":"en","primary_location":{"id":"doi:10.1137/12087606x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/12087606x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5035852692","display_name":"Giacomo Dimarco","orcid":"https://orcid.org/0000-0001-6186-3633"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796"]},{"id":"https://openalex.org/I84500057","display_name":"Institut de Math\u00e9matiques de Toulouse","ror":"https://ror.org/014vp6c30","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I196454796","https://openalex.org/I4210092408","https://openalex.org/I4210126056","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Giacomo Dimarco","raw_affiliation_strings":["IMT - Institut de Math\u00e9matiques de Toulouse UMR5219 (UPS IMT, F-31062 Toulouse Cedex 9, \r\nINSA Toulouse, F-31077 Toulouse,\r\nFrance UT1, F-31042 Toulouse, \r\nFrance UT2, F-31058 Toulouse,\r\n\r\nT\u00e9l\u00e9phone : 05.61.55.67.90 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMT - Institut de Math\u00e9matiques de Toulouse UMR5219 (UPS IMT, F-31062 Toulouse Cedex 9, \r\nINSA Toulouse, F-31077 Toulouse,\r\nFrance UT1, F-31042 Toulouse, \r\nFrance UT2, F-31058 Toulouse,\r\n\r\nT\u00e9l\u00e9phone : 05.61.55.67.90 - France)","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I196454796","https://openalex.org/I84500057"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009401094","display_name":"Lorenzo Pareschi","orcid":"https://orcid.org/0000-0002-8706-6939"},"institutions":[{"id":"https://openalex.org/I201324441","display_name":"University of Ferrara","ror":"https://ror.org/041zkgm14","country_code":"IT","type":"education","lineage":["https://openalex.org/I201324441"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lorenzo Pareschi","raw_affiliation_strings":["Department of Mathematics [Ferrara] (Via Ludovico Ariosto, 35 - 44121 Ferrara - Italy)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics [Ferrara] (Via Ludovico Ariosto, 35 - 44121 Ferrara - Italy)","institution_ids":["https://openalex.org/I201324441"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":12.3435,"has_fulltext":false,"cited_by_count":136,"citation_normalized_percentile":{"value":0.99368614,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"51","issue":"2","first_page":"1064","last_page":"1087"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998999834060669,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8211703300476074},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.6957921981811523},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6477324962615967},{"id":"https://openalex.org/keywords/collision","display_name":"Collision","score":0.5855793952941895},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5550836324691772},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5249742865562439},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.49333325028419495},{"id":"https://openalex.org/keywords/boltzmann-constant","display_name":"Boltzmann constant","score":0.48008376359939575},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.46910151839256287},{"id":"https://openalex.org/keywords/boltzmann-equation","display_name":"Boltzmann equation","score":0.4283130168914795},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4143729507923126},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3727787733078003},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.28837865591049194},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11726486682891846}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8211703300476074},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.6957921981811523},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6477324962615967},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.5855793952941895},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5550836324691772},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5249742865562439},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49333325028419495},{"id":"https://openalex.org/C35304006","wikidata":"https://www.wikidata.org/wiki/Q5962","display_name":"Boltzmann constant","level":2,"score":0.48008376359939575},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.46910151839256287},{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.4283130168914795},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4143729507923126},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3727787733078003},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.28837865591049194},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11726486682891846},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/12087606x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/12087606x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00966062v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00966062","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Numerical Analysis, 2013, 51 (2), p. 1064-1087. ⟨10.1137/12087606X⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unife.it:11392/1813100","is_oa":false,"landing_page_url":"http://hdl.handle.net/11392/1813100","pdf_url":null,"source":{"id":"https://openalex.org/S4306400369","display_name":"Institutional Research Information System University of Ferrara (University of Ferrara)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201324441","host_organization_name":"University of Ferrara","host_organization_lineage":["https://openalex.org/I201324441"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1538135945","https://openalex.org/W1972622121","https://openalex.org/W1978434425","https://openalex.org/W1981906789","https://openalex.org/W1983195644","https://openalex.org/W1990578777","https://openalex.org/W1991962363","https://openalex.org/W1992756672","https://openalex.org/W1998512026","https://openalex.org/W1998759078","https://openalex.org/W2001032670","https://openalex.org/W2019056380","https://openalex.org/W2031051349","https://openalex.org/W2032827682","https://openalex.org/W2050532272","https://openalex.org/W2051995212","https://openalex.org/W2054420328","https://openalex.org/W2058023939","https://openalex.org/W2066060292","https://openalex.org/W2067207246","https://openalex.org/W2077579190","https://openalex.org/W2080330641","https://openalex.org/W2085927003","https://openalex.org/W2093584644","https://openalex.org/W2116729868","https://openalex.org/W2126804361","https://openalex.org/W2155292091","https://openalex.org/W2204394015","https://openalex.org/W2963935688","https://openalex.org/W2997456077","https://openalex.org/W3101662299"],"related_works":["https://openalex.org/W2007632118","https://openalex.org/W4388257265","https://openalex.org/W849161923","https://openalex.org/W1579959893","https://openalex.org/W4388401275","https://openalex.org/W3404850","https://openalex.org/W58974396","https://openalex.org/W4238782814","https://openalex.org/W4386916460","https://openalex.org/W2062553561"],"abstract_inverted_index":{"We":[0,17,35],"discuss":[1],"implicit-explicit":[2],"(IMEX)":[3],"Runge--Kutta":[4],"methods":[5,43,64],"which":[6,91,116],"are":[7,44,53,65],"particularly":[8],"adapted":[9],"to":[10,86],"stiff":[11],"kinetic":[12],"equations":[13],"of":[14,22,31,59,70,80,98,106],"Boltzmann":[15,32,61],"type.":[16],"consider":[18],"both":[19],"the":[20,28,57,60,63,68,75,81,102,107,118],"case":[21,30,58],"easy":[23],"invertible":[24],"collision":[25,33,76,82,108],"operators":[26],"and":[27,47],"challenging":[29],"operators.":[34],"give":[36],"sufficient":[37],"conditions":[38],"in":[39],"order":[40],"that":[41],"such":[42],"asymptotic":[45],"preserving":[46],"asymptotically":[48],"accurate.":[49],"Their":[50],"monotonicity":[51],"properties":[52],"also":[54],"studied.":[55],"In":[56],"operator":[62,83],"based":[66],"on":[67],"introduction":[69],"a":[71,95],"penalization":[72],"technique":[73],"for":[74,94],"integral.":[77],"This":[78],"reformulation":[79],"permits":[84],"us":[85],"construct":[87],"penalized":[88],"IMEX":[89],"schemes":[90],"work":[92],"uniformly":[93],"wide":[96],"range":[97],"relaxation":[99],"times":[100],"avoiding":[101],"expensive":[103],"implicit":[104],"resolution":[105],"operator.":[109],"Finally,":[110],"we":[111],"show":[112],"some":[113],"numerical":[114],"results":[115],"confirm":[117],"theoretical":[119],"analysis.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":16},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}