{"id":"https://openalex.org/W3147062930","doi":"https://doi.org/10.1137/20m134486x","title":"Asymptotic Preserving IMEX-DG-S Schemes for Linear Kinetic Transport Equations Based on Schur Complement","display_name":"Asymptotic Preserving IMEX-DG-S Schemes for Linear Kinetic Transport Equations Based on Schur Complement","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3147062930","doi":"https://doi.org/10.1137/20m134486x","mag":"3147062930"},"language":"en","primary_location":{"id":"doi:10.1137/20m134486x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m134486x","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5102764392","display_name":"Zhichao Peng","orcid":"https://orcid.org/0000-0002-2815-4242"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhichao Peng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","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":[],"raw_orcid":"https://orcid.org/0000-0002-2386-7702","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2609,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.92490449,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"43","issue":"2","first_page":"A1194","last_page":"A1220"},"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":0.9994999766349792,"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/schur-complement","display_name":"Schur complement","score":0.8242126703262329},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7950129508972168},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5043412446975708},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.49927306175231934},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.48625457286834717},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.43345656991004944},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42820796370506287},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28277355432510376},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09648352861404419}],"concepts":[{"id":"https://openalex.org/C2731191","wikidata":"https://www.wikidata.org/wiki/Q1778169","display_name":"Schur complement","level":3,"score":0.8242126703262329},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7950129508972168},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5043412446975708},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.49927306175231934},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.48625457286834717},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.43345656991004944},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42820796370506287},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28277355432510376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09648352861404419},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/20m134486x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m134486x","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-129047","is_oa":false,"landing_page_url":"http://www.scopus.com/record/display.url?eid=2-s2.0-85099078122&origin=inward","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8100000023841858,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G3579472211","display_name":null,"funder_award_id":"DMS-1913072","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6562479358","display_name":null,"funder_award_id":"DMS-1719942","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1966058908","https://openalex.org/W1981906789","https://openalex.org/W1987826592","https://openalex.org/W2012938047","https://openalex.org/W2016870785","https://openalex.org/W2019316919","https://openalex.org/W2023493249","https://openalex.org/W2023737119","https://openalex.org/W2037004033","https://openalex.org/W2050260002","https://openalex.org/W2050873954","https://openalex.org/W2051302508","https://openalex.org/W2054420328","https://openalex.org/W2055048779","https://openalex.org/W2065908448","https://openalex.org/W2140153041","https://openalex.org/W2591876012","https://openalex.org/W3023885746"],"related_works":["https://openalex.org/W2146459776","https://openalex.org/W1975201729","https://openalex.org/W1980119950","https://openalex.org/W3092306907","https://openalex.org/W2089558316","https://openalex.org/W1990997111","https://openalex.org/W4386501632","https://openalex.org/W2029033269","https://openalex.org/W2471027283","https://openalex.org/W1796128968"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,8,14,93,156,193],"linear":[3],"kinetic":[4],"transport":[5],"equation":[6,16,102],"under":[7],"diffusive":[9,61,95,149,280],"scaling":[10],"that":[11],"converges":[12],"to":[13,49,91,131,215,222,244,255,258,272,289],"diffusion":[15],"as":[17,163],"the":[18,51,60,76,83,88,104,110,122,132,135,141,148,168,180,205,209,212,216,220,224,232,245,256,264,268,275,279,291,294],"Knudsen":[19],"number":[20],"$\\varepsilon\\rightarrow":[21],"0$.":[22],"In":[23],"[S.":[24],"Boscarino,":[25],"L.":[26],"Pareschi,":[27],"and":[28,56,116,118,138,144,208,249,274],"G.":[29],"Russo,":[30],"SIAM":[31],"J.":[32,43],"Sci.":[33],"Comput.,":[34],"35":[35],"(2013),":[36],"pp.":[37],"A22--A51;":[38],"Z.":[39],"Peng":[40],"et":[41],"al.,":[42],"Comput.":[44],"Phys.,":[45],"415":[46],"(2020),":[47],"109485],":[48],"achieve":[50],"asymptotic":[52],"preserving":[53],"(AP)":[54],"property":[55,143,230],"unconditional":[57,145,276],"stability":[58,146,241,252,266,277],"in":[59,103,147,153,278],"regime":[62],"with":[63,192,270],"$\\varepsilon\\ll":[64],"1$,":[65],"numerical":[66,125,285],"schemes":[67,182,221,233],"are":[68,287],"developed":[69],"based":[70],"on":[71,97],"an":[72,238],"additional":[73],"reformulation":[74,89],"of":[75,82,87,100,109,124,134,159,179,211,219,231,267,284,293],"even-odd":[77],"or":[78],"micro-macro":[79,169],"decomposed":[80,105,170],"version":[81],"equation.":[84],"The":[85,107,176,228],"key":[86],"is":[90,114,234],"add":[92],"weighted":[94],"term":[96],"both":[98],"sides":[99],"one":[101],"system.":[106],"choice":[108,133],"weight":[111,136],"function,":[112],"however,":[113],"problem-dependent":[115],"ad-hoc,":[117],"it":[119],"can":[120],"affect":[121],"performance":[123,292],"simulations.":[126],"To":[127],"avoid":[128],"issues":[129],"related":[130],"function":[137],"still":[139],"obtain":[140],"AP":[142,160,229],"regime,":[150],"we":[151,262],"propose":[152],"this":[154],"paper":[155],"new":[157,194,295],"family":[158],"schemes,":[161,165,261],"termed":[162],"IMEX-DG-S":[164,181],"directly":[166],"solving":[167],"system":[171],"without":[172],"any":[173],"further":[174],"reformulation.":[175],"main":[177],"ingredients":[178],"include":[183],"globally":[184],"stiffly":[185],"accurate":[186],"implicit-explicit":[187],"(IMEX)":[188],"Runge--Kutta":[189],"temporal":[190],"discretizations":[191],"IMEX":[195],"strategy,":[196],"discontinuous":[197],"Galerkin":[198],"spatial":[199],"discretizations,":[200],"discrete":[201],"ordinate":[202],"methods":[203,269],"for":[204],"velocity":[206],"space,":[207],"application":[210],"Schur":[213],"complement":[214],"algebraic":[217],"form":[218],"control":[223],"overall":[225],"computational":[226],"cost.":[227],"shown":[235],"formally.":[236],"With":[237],"energy":[239],"type":[240,251],"analysis":[242,253],"applied":[243,254],"first":[246,257],"order":[247,260],"scheme,":[248],"Fourier":[250],"third":[259],"confirm":[263],"uniform":[265],"respect":[271],"$\\varepsilon$":[273],"regime.":[281],"A":[282],"series":[283],"examples":[286],"presented":[288],"demonstrate":[290],"schemes.":[296]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}