{"id":"https://openalex.org/W3005394924","doi":"https://doi.org/10.1137/19m1260785","title":"Positive and Asymptotic Preserving Approximation of the Radiation Transport Equation","display_name":"Positive and Asymptotic Preserving Approximation of the Radiation Transport Equation","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3005394924","doi":"https://doi.org/10.1137/19m1260785","mag":"3005394924"},"language":"en","primary_location":{"id":"doi:10.1137/19m1260785","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1260785","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/A5045250454","display_name":"Jean\u2010Luc Guermond","orcid":"https://orcid.org/0000-0002-6974-6818"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jean-Luc Guermond","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-6974-6818","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001592507","display_name":"Bojan Popov","orcid":"https://orcid.org/0000-0002-6837-2404"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bojan Popov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5033526491","display_name":"Jean C. Ragusa","orcid":"https://orcid.org/0000-0001-9870-6447"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jean Ragusa","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045250454"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5661,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.79462237,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"58","issue":"1","first_page":"519","last_page":"540"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9991999864578247,"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":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8244421482086182},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6174222826957703},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6155431866645813},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.5692160129547119},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5356442928314209},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4898917078971863},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.4875921607017517},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4864611327648163},{"id":"https://openalex.org/keywords/central-limit-theorem","display_name":"Central limit theorem","score":0.4795953333377838},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.44198888540267944},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.4184218943119049},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3552764654159546},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0923691987991333},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.0910402238368988}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8244421482086182},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6174222826957703},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6155431866645813},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.5692160129547119},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5356442928314209},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4898917078971863},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4875921607017517},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4864611327648163},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.4795953333377838},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.44198888540267944},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.4184218943119049},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3552764654159546},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0923691987991333},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0910402238368988},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1260785","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1260785","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/G2854701768","display_name":null,"funder_award_id":"FA9550-15-1-0257","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4161801624","display_name":null,"funder_award_id":"W911NF-15-1-0517","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G4970245151","display_name":null,"funder_award_id":"DMS-1620058","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7551390597","display_name":null,"funder_award_id":"DMS-1619892","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"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"},{"id":"https://openalex.org/F4320338286","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W241172085","https://openalex.org/W1976156411","https://openalex.org/W2001032670","https://openalex.org/W2003116365","https://openalex.org/W2013637933","https://openalex.org/W2020904563","https://openalex.org/W2063702850","https://openalex.org/W2067349413","https://openalex.org/W2067813500","https://openalex.org/W2072236487","https://openalex.org/W2072855901","https://openalex.org/W2095092117","https://openalex.org/W2097144461","https://openalex.org/W2110804513","https://openalex.org/W2117265445","https://openalex.org/W2159836444","https://openalex.org/W2170936386","https://openalex.org/W2257781909","https://openalex.org/W2263206929","https://openalex.org/W2777191004","https://openalex.org/W2851699097","https://openalex.org/W2962976992","https://openalex.org/W3099008000","https://openalex.org/W4232904039"],"related_works":["https://openalex.org/W2526971967","https://openalex.org/W1590663584","https://openalex.org/W2066233295","https://openalex.org/W3096651601","https://openalex.org/W1982500459","https://openalex.org/W95317945","https://openalex.org/W2417271479","https://openalex.org/W2353962879","https://openalex.org/W3165611473","https://openalex.org/W2060612917"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2],"(linear)":[3],"positive":[4],"and":[5,72,83,99,121,127],"asymptotic-preserving":[6,129],"method":[7,41,58,76,109],"for":[8],"solving":[9],"the":[10,22,57,67,90,94,104,116,133],"one-group":[11],"radiation":[12],"transport":[13],"equation.":[14],"The":[15,40,61,75,107],"approximation":[16,24],"in":[17,45,93,103],"space":[18,23],"is":[19,42,51,59,77,85,101,125,128],"discretization":[20],"agnostic:":[21],"can":[25],"be":[26],"done":[27],"with":[28,53,79,89,130],"continuous":[29,80],"or":[30,37],"discontinuous":[31],"finite":[32,35,38,81],"elements":[33],"(or":[34],"volumes,":[36],"differences).":[39],"first-order":[43],"accurate":[44],"space.":[46],"This":[47],"type":[48],"of":[49,66,118],"accuracy":[50],"consistent":[52],"Godunov's":[54],"theorem":[55],"since":[56],"linear.":[60],"two":[62],"key":[63],"theoretical":[64],"results":[65],"paper":[68],"are":[69],"Theorem":[70,73],"4.4":[71],"4.8.":[74],"illustrated":[78],"elements,":[82],"it":[84,100],"observed":[86],"to":[87,132],"converge":[88],"rate":[91],"O(h)":[92],"L^2-norm":[95],"on":[96],"manufactured":[97],"solutions,":[98],"O(h^2)":[102],"diffusion":[105,134],"regime.":[106],"proposed":[108],"does":[110],"not":[111],"suffer":[112],"from":[113],"overshoots":[114],"at":[115],"interfaces":[117],"optically":[119,122],"thin":[120],"thick":[123],"regions,":[124],"positive,":[126],"respect":[131],"limit.":[135]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
