{"id":"https://openalex.org/W2962833397","doi":"https://doi.org/10.1137/17m1144362","title":"Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation","display_name":"Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2962833397","doi":"https://doi.org/10.1137/17m1144362","mag":"2962833397"},"language":"en","primary_location":{"id":"doi:10.1137/17m1144362","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1144362","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/A5019581016","display_name":"Jingwei Hu","orcid":"https://orcid.org/0000-0001-6792-6711"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jingwei Hu","raw_affiliation_strings":["Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009937786","display_name":"Ruiwen Shu","orcid":"https://orcid.org/0000-0002-7269-7877"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ruiwen Shu","raw_affiliation_strings":["Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061066295","display_name":"Xiangxiong Zhang","orcid":"https://orcid.org/0000-0002-1090-7189"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiangxiong Zhang","raw_affiliation_strings":["Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019581016"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":null,"apc_paid":null,"fwci":9.3442,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.98748744,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"56","issue":"2","first_page":"942","last_page":"973"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9993000030517578,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/mathematics","display_name":"Mathematics","score":0.8201773166656494},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5193263292312622},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5120571255683899},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.456635981798172},{"id":"https://openalex.org/keywords/knudsen-number","display_name":"Knudsen number","score":0.44488954544067383},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3419433832168579},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.316186785697937}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8201773166656494},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5193263292312622},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5120571255683899},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.456635981798172},{"id":"https://openalex.org/C121838276","wikidata":"https://www.wikidata.org/wiki/Q898463","display_name":"Knudsen number","level":2,"score":0.44488954544067383},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3419433832168579},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.316186785697937},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/17m1144362","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1144362","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1984939654","display_name":null,"funder_award_id":"1654152","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2460158035","display_name":"Robust and Efficient High Order Methods for Time Dependent Problems","funder_award_id":"1522593","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3631037368","display_name":null,"funder_award_id":"DMS-1654152","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4934414736","display_name":null,"funder_award_id":"DMS-1620250","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5536979805","display_name":"Fast algorithms for nonlinear kinetic models","funder_award_id":"1620250","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5760524911","display_name":null,"funder_award_id":"DMS-1522593","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6444692754","display_name":null,"funder_award_id":"DMS-1107291","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7747989704","display_name":null,"funder_award_id":"1107291","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1134214559","https://openalex.org/W1978434425","https://openalex.org/W1981906789","https://openalex.org/W1991962363","https://openalex.org/W2008956940","https://openalex.org/W2018765563","https://openalex.org/W2019056380","https://openalex.org/W2038628969","https://openalex.org/W2044355577","https://openalex.org/W2050260002","https://openalex.org/W2051995212","https://openalex.org/W2054420328","https://openalex.org/W2066060292","https://openalex.org/W2078033075","https://openalex.org/W2116729868","https://openalex.org/W2142212336","https://openalex.org/W2155292091","https://openalex.org/W2530578203","https://openalex.org/W2574003032","https://openalex.org/W2735678467","https://openalex.org/W2963401669","https://openalex.org/W3010292040"],"related_works":["https://openalex.org/W4206768127","https://openalex.org/W4213270568","https://openalex.org/W1988488201","https://openalex.org/W94581989","https://openalex.org/W4244999877","https://openalex.org/W2085059771","https://openalex.org/W4301315183","https://openalex.org/W2083551655","https://openalex.org/W2474709654","https://openalex.org/W4285308861"],"abstract_inverted_index":{"We":[0],"develop":[1],"a":[2,62,123],"family":[3],"of":[4,43,70,82,113],"second-order":[5],"implicit-explicit":[6],"(IMEX)":[7],"schemes":[8],"for":[9],"the":[10,22,28,44,56,67,71,80,83,96,111,114,127],"stiff":[11],"Bhatnagar--Gross--Krook":[12],"(BGK)":[13],"kinetic":[14],"equation.":[15],"The":[16,51],"method":[17,52,84,97,115,128],"is":[18,38,53,76,86],"asymptotic-preserving":[19],"(can":[20],"capture":[21],"Euler":[23],"limit":[24],"without":[25],"numerically":[26],"resolving":[27],"small":[29],"Knudsen":[30],"number)":[31],"as":[32,34],"well":[33],"positivity-preserving---a":[35],"feature":[36],"that":[37,95],"not":[39],"possessed":[40],"by":[41,88],"any":[42],"existing":[45],"second-":[46],"or":[47],"high-order":[48],"IMEX":[49,58],"schemes.":[50],"based":[54],"on":[55],"usual":[57],"Runge--Kutta":[59],"framework":[60],"plus":[61],"key":[63],"correction":[64],"step":[65],"utilizing":[66],"special":[68],"structure":[69],"BGK":[72],"operator.":[73],"Formal":[74],"analysis":[75],"presented":[77],"to":[78,116,125,129],"demonstrate":[79],"property":[81,101],"and":[85,121],"supported":[87],"various":[89],"numerical":[90],"results.":[91],"Moreover,":[92],"we":[93,109],"show":[94],"satisfies":[98],"an":[99],"entropy-decay":[100],"when":[102],"coupled":[103],"with":[104],"suitable":[105],"spatial":[106],"discretizations.":[107],"Additionally,":[108],"discuss":[110],"generalization":[112],"some":[117],"hyperbolic":[118],"relaxation":[119],"system":[120],"provide":[122],"strategy":[124],"extend":[126],"third":[130],"order.":[131]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":4}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
