{"id":"https://openalex.org/W2023493249","doi":"https://doi.org/10.1137/130938955","title":"Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling","display_name":"Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2023493249","doi":"https://doi.org/10.1137/130938955","mag":"2023493249"},"language":"en","primary_location":{"id":"doi:10.1137/130938955","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130938955","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/A5020031889","display_name":"Juhi Jang","orcid":"https://orcid.org/0000-0003-1776-7251"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Juhi Jang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101926587","display_name":"Fengyan Li","orcid":"https://orcid.org/0000-0002-2386-7702"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fengyan Li","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065678545","display_name":"Jing\u2010Mei Qiu","orcid":"https://orcid.org/0000-0002-4226-6080"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jing-Mei Qiu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5012141054","display_name":"Tao Xiong","orcid":"https://orcid.org/0000-0002-4912-6574"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tao Xiong","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5020031889"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6661,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.92199408,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"52","issue":"4","first_page":"2048","last_page":"2072"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9988999962806702,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9986000061035156,"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":0.8149234056472778},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6443726420402527},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.5704631209373474},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5474832057952881},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.508529782295227},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4997069835662842},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.48155859112739563},{"id":"https://openalex.org/keywords/kinetic-energy","display_name":"Kinetic energy","score":0.47758129239082336},{"id":"https://openalex.org/keywords/boltzmann-equation","display_name":"Boltzmann equation","score":0.42850661277770996},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4247607886791229},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.424063503742218},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4159952402114868},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3988506495952606},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21956995129585266},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15932747721672058},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12356528639793396},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.11093813180923462},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.09956857562065125}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8149234056472778},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6443726420402527},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.5704631209373474},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5474832057952881},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.508529782295227},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4997069835662842},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.48155859112739563},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.47758129239082336},{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.42850661277770996},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4247607886791229},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.424063503742218},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4159952402114868},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3988506495952606},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21956995129585266},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15932747721672058},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12356528639793396},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.11093813180923462},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.09956857562065125},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/130938955","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130938955","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:CiteSeerX.psu:10.1.1.756.7676","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.756.7676","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1309.7670.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8600000143051147,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1496291304","https://openalex.org/W1966058908","https://openalex.org/W1967154621","https://openalex.org/W1967562270","https://openalex.org/W1981588909","https://openalex.org/W1994099903","https://openalex.org/W2012938047","https://openalex.org/W2013637933","https://openalex.org/W2016870785","https://openalex.org/W2023737119","https://openalex.org/W2025488675","https://openalex.org/W2037004033","https://openalex.org/W2041064369","https://openalex.org/W2041523977","https://openalex.org/W2044115635","https://openalex.org/W2044355577","https://openalex.org/W2050260002","https://openalex.org/W2050873954","https://openalex.org/W2051302508","https://openalex.org/W2055048779","https://openalex.org/W2067813500","https://openalex.org/W2081377160","https://openalex.org/W2092808148","https://openalex.org/W2162097938","https://openalex.org/W2170936386","https://openalex.org/W2238007812","https://openalex.org/W3103691262","https://openalex.org/W4232904039","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W2055696851","https://openalex.org/W2324487000","https://openalex.org/W2120874885","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2040975642","https://openalex.org/W2038756469"],"abstract_inverted_index":{"In":[0,101],"this":[1],"paper,":[2],"some":[3],"theoretical":[4],"aspects":[5],"will":[6,56,104],"be":[7,155],"addressed":[8],"for":[9,36,47,123,148],"the":[10,59,71,90,94,135,141,144],"asymptotic":[11,32,132],"preserving":[12,33],"discontinuous":[13,65],"Galerkin":[14,66],"implicit-explicit":[15,79],"(DG-IMEX)":[16],"schemes":[17,35,136],"recently":[18],"proposed":[19],"in":[20,40,98,151],"[J.":[21],"Jang,":[22],"F.":[23],"Li,":[24],"J.-M.":[25],"Qiu,":[26],"and":[27,75,83,93,143],"T.":[28],"Xiong,":[29],"High":[30],"order":[31,78],"DG-IMEX":[34],"discrete-velocity":[37],"kinetic":[38,48],"equations":[39,50],"a":[41,52,76,130],"diffusive":[42,53],"scaling,":[43],"http://arxiv.org/abs/1306.0227,":[44],"2013,":[45],"submitted]":[46],"transport":[49,96],"under":[51],"scaling.":[54],"We":[55],"focus":[57],"on":[58,64],"methods":[60,142],"that":[61],"are":[62,146],"based":[63],"(DG)":[67],"spatial":[68],"discretizations":[69],"with":[70,109],"$P^k$":[72],"polynomial":[73],"space":[74],"first":[77],"(IMEX)":[80],"temporal":[81],"discretization,":[82],"apply":[84],"them":[85],"to":[86,111,157],"two":[87],"linear":[88],"models:":[89],"telegraph":[91],"equation":[92,97],"one-group":[95],"slab":[99],"geometry.":[100],"particular,":[102],"we":[103],"establish":[105],"uniform":[106],"numerical":[107],"stability":[108],"respect":[110],"Knudsen":[112],"number":[113],"$\\varepsilon$":[114],"using":[115],"energy":[116],"methods,":[117],"as":[118,120],"well":[119],"error":[121],"estimates":[122],"any":[124],"given":[125],"$\\varepsilon$.":[126],"When":[127],"$\\varepsilon\\rightarrow":[128],"0$,":[129],"rigorous":[131],"analysis":[133,145],"of":[134],"is":[137],"also":[138],"obtained.":[139],"Though":[140],"presented":[147],"one":[149],"dimension":[150],"space,":[152],"they":[153],"can":[154],"generalized":[156],"higher":[158],"dimensions":[159],"directly.":[160]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}