{"id":"https://openalex.org/W2883587437","doi":"https://doi.org/10.1137/18m1196297","title":"A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations","display_name":"A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2883587437","doi":"https://doi.org/10.1137/18m1196297","mag":"2883587437"},"language":"en","primary_location":{"id":"doi:10.1137/18m1196297","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1196297","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1807.06109","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077931824","display_name":"M. Paul Laiu","orcid":"https://orcid.org/0000-0002-2215-6968"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Paul Laiu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101567482","display_name":"Martin Frank","orcid":"https://orcid.org/0000-0001-8562-6982"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martin Frank","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5005248564","display_name":"Cory D. Hauck","orcid":"https://orcid.org/0000-0001-5559-502X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cory D. Hauck","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.02123008,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"41","issue":"3","first_page":"A1500","last_page":"A1526"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9994000196456909,"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":0.9994000196456909,"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/T10597","display_name":"Nuclear reactor physics and engineering","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9951000213623047,"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/discretization","display_name":"Discretization","score":0.9028640985488892},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6788203120231628},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6053256988525391},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5080552101135254},{"id":"https://openalex.org/keywords/stencil","display_name":"Stencil","score":0.4805750846862793},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.42828547954559326},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.4132840633392334},{"id":"https://openalex.org/keywords/realizability","display_name":"Realizability","score":0.4104310870170593},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12374958395957947}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.9028640985488892},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6788203120231628},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6053256988525391},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5080552101135254},{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.4805750846862793},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.42828547954559326},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.4132840633392334},{"id":"https://openalex.org/C2776378722","wikidata":"https://www.wikidata.org/wiki/Q3454417","display_name":"Realizability","level":2,"score":0.4104310870170593},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12374958395957947},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/18m1196297","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1196297","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:arXiv.org:1807.06109","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1807.06109","pdf_url":"https://arxiv.org/pdf/1807.06109","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2883587437","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1807.06109v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:osti.gov:1559739","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1559739","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"doi:10.48550/arxiv.1807.06109","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1807.06109","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1807.06109","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1807.06109","pdf_url":"https://arxiv.org/pdf/1807.06109","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3872744442","display_name":null,"funder_award_id":"DE-AC0500OR22725","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7670500978","display_name":null,"funder_award_id":"DE-AC05-06OR23100","funder_id":"https://openalex.org/F4320338287","funder_display_name":"Oak Ridge National Laboratory"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320338287","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W91881074","https://openalex.org/W1134214559","https://openalex.org/W1530546941","https://openalex.org/W1583686354","https://openalex.org/W1635622277","https://openalex.org/W1966058908","https://openalex.org/W1967154621","https://openalex.org/W1976156411","https://openalex.org/W1992459887","https://openalex.org/W1998444595","https://openalex.org/W1999046691","https://openalex.org/W2001032670","https://openalex.org/W2001289299","https://openalex.org/W2008956940","https://openalex.org/W2013637933","https://openalex.org/W2019316919","https://openalex.org/W2020904563","https://openalex.org/W2021404831","https://openalex.org/W2023493249","https://openalex.org/W2023737119","https://openalex.org/W2023969416","https://openalex.org/W2028550140","https://openalex.org/W2028961914","https://openalex.org/W2034976587","https://openalex.org/W2035984669","https://openalex.org/W2038196379","https://openalex.org/W2050260002","https://openalex.org/W2050873954","https://openalex.org/W2051302508","https://openalex.org/W2055048779","https://openalex.org/W2060059568","https://openalex.org/W2060360410","https://openalex.org/W2067740342","https://openalex.org/W2067813500","https://openalex.org/W2069255589","https://openalex.org/W2072150166","https://openalex.org/W2079218650","https://openalex.org/W2092637136","https://openalex.org/W2095092117","https://openalex.org/W2108181355","https://openalex.org/W2110804513","https://openalex.org/W2114253824","https://openalex.org/W2115800193","https://openalex.org/W2117265445","https://openalex.org/W2142212336","https://openalex.org/W2146350817","https://openalex.org/W2154623893","https://openalex.org/W2164278908","https://openalex.org/W2170085569","https://openalex.org/W2170936386","https://openalex.org/W2246415295","https://openalex.org/W2282053964","https://openalex.org/W2312819874","https://openalex.org/W2399908156","https://openalex.org/W2552322922","https://openalex.org/W2588794862","https://openalex.org/W2591048038","https://openalex.org/W2592479139","https://openalex.org/W2885897681","https://openalex.org/W2897905020","https://openalex.org/W2962833397","https://openalex.org/W2964061021","https://openalex.org/W4232904039","https://openalex.org/W4251706365","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W3179807453","https://openalex.org/W1999403423","https://openalex.org/W3002339633","https://openalex.org/W3135332386","https://openalex.org/W2978254404","https://openalex.org/W2110660036","https://openalex.org/W2469536336","https://openalex.org/W2320878057","https://openalex.org/W2948007272","https://openalex.org/W2904355331","https://openalex.org/W2062688392","https://openalex.org/W2607025665","https://openalex.org/W1970444547","https://openalex.org/W2737176504","https://openalex.org/W2279435588","https://openalex.org/W1995279997","https://openalex.org/W3204255601","https://openalex.org/W1820945262","https://openalex.org/W3116871907","https://openalex.org/W3010433852"],"abstract_inverted_index":{"We":[0,142],"present":[1],"a":[2,17,32,38,47,51,70,102,129,139,148,152],"positive-":[3],"and":[4,37,57,99],"asymptotic-preserving":[5],"numerical":[6,72],"scheme":[7,28,68,87,110,146,165],"for":[8,74],"solving":[9],"linear":[10],"kinetic":[11],"transport":[12],"equations":[13],"that":[14,135],"relax":[15],"to":[16,84],"diffusive":[18],"equation":[19,78],"in":[20,60,138],"the":[21,61,67,75,80,92,96,114,121,145,163],"limit":[22],"of":[23,91,105,132,159,162],"infinite":[24],"scattering.":[25],"The":[26,42,86,109,156],"proposed":[27,164],"is":[29,111,166],"developed":[30],"using":[31],"standard":[33],"spectral":[34,106],"angular":[35,62,107],"discretization":[36,73],"classical":[39],"micro-macro":[40],"decomposition.":[41],"three":[43],"main":[44],"ingredients":[45],"are":[46,136],"semi-implicit":[48],"temporal":[49],"discretization,":[50,56],"dedicated":[52],"finite":[53],"difference":[54],"spatial":[55],"realizability":[58],"limiters":[59],"discretization.":[63],"Under":[64],"mild":[65],"assumptions,":[66],"becomes":[69],"consistent":[71],"limiting":[76],"diffusion":[77],"when":[79],"scattering":[81],"cross-section":[82],"tends":[83],"infinity.":[85],"also":[88,143],"preserves":[89],"positivity":[90],"particle":[93],"concentration":[94],"on":[95,113,147],"space-time":[97,160],"mesh":[98],"therefore":[100],"fixes":[101],"common":[103],"defect":[104],"discretizations.":[108],"tested":[112,144],"well-known":[115],"line":[116],"source":[117],"benchmark":[118],"problem":[119,150],"with":[120,151],"usual":[122],"uniform":[123],"material":[124,154],"medium":[125,130],"as":[126,128],"well":[127],"composed":[131],"different":[133],"materials":[134],"arranged":[137],"checkerboard":[140],"pattern.":[141],"Riemann":[149],"nonuniform":[153],"medium.":[155],"observed":[157],"order":[158],"accuracy":[161],"reported.":[167]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-08T08:33:18.762332","created_date":"2022-08-04T00:00:00"}