{"id":"https://openalex.org/W2228067100","doi":"https://doi.org/10.1137/140991558","title":"Multiscale Schemes for the BGK--Vlasov--Poisson System in the Quasi-Neutral and Fluid Limits. Stability Analysis and First Order Schemes","display_name":"Multiscale Schemes for the BGK--Vlasov--Poisson System in the Quasi-Neutral and Fluid Limits. Stability Analysis and First Order Schemes","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2228067100","doi":"https://doi.org/10.1137/140991558","mag":"2228067100"},"language":"en","primary_location":{"id":"doi:10.1137/140991558","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140991558","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-01090676","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109948904","display_name":"Nicolas Crouseilles","orcid":"https://orcid.org/0000-0002-6055-4393"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nicolas Crouseilles","raw_affiliation_strings":["IPSO - Invariant Preserving SOlvers (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IPSO - Invariant Preserving SOlvers (France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035852692","display_name":"Giacomo Dimarco","orcid":"https://orcid.org/0000-0001-6186-3633"},"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":"Giacomo Dimarco","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"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039688022","display_name":"Marie-H\u00e9l\u00e8ne Vignal","orcid":"https://orcid.org/0000-0002-3994-7045"},"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/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":"Marie-H\u00e9l\u00e9ne Vignal","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/I84500057","https://openalex.org/I134560555","https://openalex.org/I196454796"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0539,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.84136578,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"14","issue":"1","first_page":"65","last_page":"95"},"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":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/knudsen-number","display_name":"Knudsen number","score":0.8057272434234619},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6628472208976746},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6210982203483582},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.524128258228302},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5209094882011414},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4789496064186096},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.46512624621391296},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41079020500183105},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38317596912384033},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18062913417816162},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17894619703292847}],"concepts":[{"id":"https://openalex.org/C121838276","wikidata":"https://www.wikidata.org/wiki/Q898463","display_name":"Knudsen number","level":2,"score":0.8057272434234619},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6628472208976746},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6210982203483582},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.524128258228302},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5209094882011414},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4789496064186096},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.46512624621391296},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41079020500183105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38317596912384033},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18062913417816162},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17894619703292847},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/140991558","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140991558","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01090676v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01090676","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2016, 14 (1), pp.65-95. &#x27E8;10.1137/140991558&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:iris.unife.it:11392/2343885","is_oa":false,"landing_page_url":"http://hdl.handle.net/11392/2343885","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":{"id":"pmh:oai:HAL:hal-01090676v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01090676","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2016, 14 (1), pp.65-95. &#x27E8;10.1137/140991558&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1538135945","https://openalex.org/W1559947614","https://openalex.org/W1578866381","https://openalex.org/W1620810566","https://openalex.org/W1964572210","https://openalex.org/W1967154621","https://openalex.org/W1974987146","https://openalex.org/W1977048962","https://openalex.org/W1978434425","https://openalex.org/W1979510298","https://openalex.org/W2001032670","https://openalex.org/W2004224985","https://openalex.org/W2006227338","https://openalex.org/W2011224642","https://openalex.org/W2016624021","https://openalex.org/W2016768925","https://openalex.org/W2019283312","https://openalex.org/W2027375221","https://openalex.org/W2030033759","https://openalex.org/W2031940979","https://openalex.org/W2032827682","https://openalex.org/W2034841351","https://openalex.org/W2035168719","https://openalex.org/W2038086943","https://openalex.org/W2038756469","https://openalex.org/W2046030660","https://openalex.org/W2047423653","https://openalex.org/W2051247278","https://openalex.org/W2057151611","https://openalex.org/W2057432996","https://openalex.org/W2066180648","https://openalex.org/W2067857689","https://openalex.org/W2072647925","https://openalex.org/W2074713948","https://openalex.org/W2077579190","https://openalex.org/W2079756395","https://openalex.org/W2080330641","https://openalex.org/W2088709331","https://openalex.org/W2100520965","https://openalex.org/W2103926053","https://openalex.org/W2108160059","https://openalex.org/W2126804361","https://openalex.org/W2155073557","https://openalex.org/W2155292091","https://openalex.org/W2165098579","https://openalex.org/W2922568933","https://openalex.org/W2963401669","https://openalex.org/W2963935688","https://openalex.org/W2964146255","https://openalex.org/W2991885482","https://openalex.org/W3100229109","https://openalex.org/W3104365855"],"related_works":["https://openalex.org/W1988488201","https://openalex.org/W94581989","https://openalex.org/W2085059771","https://openalex.org/W2702812586","https://openalex.org/W2063357437","https://openalex.org/W2048948096","https://openalex.org/W2791055764","https://openalex.org/W3190024096","https://openalex.org/W2094838672","https://openalex.org/W2061217558"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,70,74,115,147],"the":[4,7,16,23,30,41,65,90,134,140,143],"development":[5],"and":[6,12,19,45,69,105],"analysis":[8,112],"of":[9,60,89,142],"asymptotically":[10],"stable":[11,57],"consistent":[13,87],"schemes":[14,33,132],"in":[15,102,133,145],"joint":[17],"quasi-neutral":[18],"fluid":[20],"limits":[21],"for":[22,58],"collisional":[24],"Vlasov--Poisson":[25],"system.":[26],"In":[27,80,94],"these":[28],"limits,":[29],"classical":[31],"explicit":[32,78],"suffer":[34],"from":[35,64],"time":[36,61,103],"step":[37],"restrictions":[38],"due":[39],"to":[40,76,86,113,125,129],"small":[42,66,148],"plasma":[43],"period":[44],"Knudsen":[46],"number.":[47],"To":[48],"solve":[49],"this":[50,82,95,127],"problem,":[51],"we":[52,97,106,120,138],"propose":[53,98,121],"a":[54,99,108],"new":[55],"scheme":[56,83],"choices":[59],"steps":[62],"independent":[63],"scale":[67],"dynamics":[68],"comparable":[71],"computational":[72],"cost":[73],"respect":[75],"standard":[77],"schemes.":[79],"addition,":[81],"reduces":[84],"automatically":[85],"discretizations":[88],"underlying":[91],"asymptotic":[92],"systems.":[93],"paper,":[96],"first":[100],"order":[101,131],"scheme,":[104],"perform":[107],"relative":[109],"linear":[110],"stability":[111],"deal":[114],"such":[116],"problems.":[117],"The":[118],"framework":[119],"will":[122],"permit":[123],"us":[124],"extend":[126],"approach":[128],"high":[130],"near":[135],"future.":[136],"Finally,":[137],"show":[139],"capability":[141],"method":[144],"dealing":[146],"scales":[149],"through":[150],"numerical":[151],"experiments.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
