{"id":"https://openalex.org/W7225746445","doi":"https://doi.org/10.1080/00295639.2026.2740301","title":"Low-Rank Multigroup Neutron Transport by Galerkin or Balanced Proper Orthogonal Decomposition","display_name":"Low-Rank Multigroup Neutron Transport by Galerkin or Balanced Proper Orthogonal Decomposition","publication_year":2026,"publication_date":"2026-11-10","ids":{"openalex":"https://openalex.org/W7225746445","doi":"https://doi.org/10.1080/00295639.2026.2740301"},"language":"en","primary_location":{"id":"doi:10.1080/00295639.2026.2740301","doi":"https://doi.org/10.1080/00295639.2026.2740301","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00295639.2026.2740301","pdf_url":null,"source":{"id":"https://openalex.org/S117777261","display_name":"Nuclear Science and Engineering","issn_l":"0029-5639","issn":["0029-5639","1943-748X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nuclear Science and Engineering","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5078584250","display_name":"Kurt A. Dominesey","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405271962","display_name":"Naval Nuclear Laboratory","ror":"https://ror.org/03b59sv32","country_code":"US","type":"facility","lineage":["https://openalex.org/I4405271962"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kurt A. Dominesey","raw_affiliation_strings":["Naval Nuclear Laboratory"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Naval Nuclear Laboratory","institution_ids":["https://openalex.org/I4405271962"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072399355","display_name":"Steven J. Douglass","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405271962","display_name":"Naval Nuclear Laboratory","ror":"https://ror.org/03b59sv32","country_code":"US","type":"facility","lineage":["https://openalex.org/I4405271962"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven J. Douglass","raw_affiliation_strings":["Naval Nuclear Laboratory"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Naval Nuclear Laboratory","institution_ids":["https://openalex.org/I4405271962"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025323397","display_name":"Michael W. Hackemack","orcid":"https://orcid.org/0000-0001-7450-5720","observed_orcids":["https://orcid.org/0000-0001-7450-5720"]},"institutions":[{"id":"https://openalex.org/I4405271962","display_name":"Naval Nuclear Laboratory","ror":"https://ror.org/03b59sv32","country_code":"US","type":"facility","lineage":["https://openalex.org/I4405271962"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael W. Hackemack","raw_affiliation_strings":["Naval Nuclear Laboratory"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Naval Nuclear Laboratory","institution_ids":["https://openalex.org/I4405271962"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078584250"],"corresponding_institution_ids":["https://openalex.org/I4405271962"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.7437000274658203,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.7437000274658203,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10597","display_name":"Nuclear reactor physics and engineering","score":0.2418999969959259,"subfield":{"id":"https://openalex.org/subfields/2104","display_name":"Nuclear Energy and Engineering"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10093","display_name":"Nuclear physics research studies","score":0.0015999999595806003,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C66963500","wikidata":"https://www.wikidata.org/wiki/Q3338735","display_name":"Neutron transport","level":3,"score":0.6258000135421753},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5565000176429749},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5440999865531921},{"id":"https://openalex.org/C152568617","wikidata":"https://www.wikidata.org/wiki/Q2348","display_name":"Neutron","level":2,"score":0.4643000066280365},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4433000087738037},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4221000075340271},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41350001096725464},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.39419999718666077},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38690000772476196},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3837999999523163},{"id":"https://openalex.org/C37750225","wikidata":"https://www.wikidata.org/wiki/Q1353262","display_name":"Nuclear reactor core","level":2,"score":0.3779999911785126},{"id":"https://openalex.org/C2984998066","wikidata":"https://www.wikidata.org/wiki/Q105037988","display_name":"Proper orthogonal decomposition","level":3,"score":0.37400001287460327},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3734000027179718},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.3677999973297119},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.35280001163482666},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.3521000146865845},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.335099995136261},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32659998536109924},{"id":"https://openalex.org/C12294094","wikidata":"https://www.wikidata.org/wiki/Q929080","display_name":"Fission","level":3,"score":0.30489999055862427},{"id":"https://openalex.org/C2988881298","wikidata":"https://www.wikidata.org/wiki/Q16884885","display_name":"Transport theory","level":2,"score":0.30160000920295715},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.29910001158714294},{"id":"https://openalex.org/C52234038","wikidata":"https://www.wikidata.org/wiki/Q17128025","display_name":"Cross section (physics)","level":2,"score":0.2870999872684479},{"id":"https://openalex.org/C2780366209","wikidata":"https://www.wikidata.org/wiki/Q5170200","display_name":"Core model","level":2,"score":0.28349998593330383},{"id":"https://openalex.org/C2989159101","wikidata":"https://www.wikidata.org/wiki/Q200928","display_name":"Energy transport","level":2,"score":0.2806999981403351},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.2752000093460083},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.26660001277923584},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2612999975681305},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.25}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00295639.2026.2740301","doi":"https://doi.org/10.1080/00295639.2026.2740301","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00295639.2026.2740301","pdf_url":null,"source":{"id":"https://openalex.org/S117777261","display_name":"Nuclear Science and Engineering","issn_l":"0029-5639","issn":["0029-5639","1943-748X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nuclear Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1577898135","https://openalex.org/W1806358573","https://openalex.org/W1992125191","https://openalex.org/W2000176905","https://openalex.org/W2059316647","https://openalex.org/W2072331200","https://openalex.org/W2080666476","https://openalex.org/W2088748973","https://openalex.org/W2101610188","https://openalex.org/W2105744973","https://openalex.org/W2112823474","https://openalex.org/W2114471272","https://openalex.org/W2239955399","https://openalex.org/W2244641823","https://openalex.org/W2346717862","https://openalex.org/W2483038600","https://openalex.org/W2776305627","https://openalex.org/W2791695853","https://openalex.org/W2900772103","https://openalex.org/W2911862538","https://openalex.org/W3008272216","https://openalex.org/W3125200280","https://openalex.org/W3202648294","https://openalex.org/W3203668232","https://openalex.org/W4295539770","https://openalex.org/W4365457875","https://openalex.org/W4389072307","https://openalex.org/W4400273731","https://openalex.org/W4401510449","https://openalex.org/W4410882414","https://openalex.org/W4412900141","https://openalex.org/W7165727857"],"related_works":[],"abstract_inverted_index":{"This":[0],"article":[1],"presents":[2],"Proper":[3],"Orthogonal":[4],"Decomposition":[5],"(POD)":[6],"as":[7,19,32,177],"an":[8,60,114],"alternative":[9],"to":[10,135,179],"conventional":[11,77,110,129,187,217],"cross":[12,68],"section":[13],"condensation.":[14,78],"Although":[15],"not":[16],"always":[17],"framed":[18],"such,":[20],"these":[21],"two":[22,174],"techniques":[23],"are":[24],"analogous,":[25],"except":[26],"that":[27,90,127],"POD":[28,74,154],"approximates":[29],"the":[30,80,83,102,128,138,153,157,168,173,180,186,204,223,227],"solution":[31,183],"low-rank":[33],"rather":[34],"than":[35,108],"rank-one":[36],"separable":[37],"in":[38,216],"energy":[39,43,159],"within":[40],"each":[41,136,145],"coarse":[42],"group.":[44],"Starting":[45],"with":[46,113,221],"a":[47,53,91,109,132],"fine-group":[48],"neutron":[49],"transport":[50],"model":[51,112,130,188,192],"of":[52,82,101,119,121,137,150,230],"2D":[54],"Watts":[55],"bar":[56],"benchmark":[57],"problem":[58],"(or":[59],"interior":[61],"and":[62,104,211],"peripheral":[63],"colorset":[64,175],"thereof),":[65],"we":[66,88],"reduce":[67],"sections":[69],"by":[70],"Galerkin":[71],"POD,":[72],"Balanced":[73],"(BPOD),":[75],"or":[76,116,148,233],"Comparing":[79],"accuracies":[81],"resulting":[84],"reduced-order":[85],"models":[86],"(ROMs),":[87],"find":[89],"three-group":[92],"BPOD":[93,169,198],"ROM":[94,170],"can":[95],"often":[96],"achieve":[97],"more":[98],"accurate":[99],"estimates":[100],"k-eigenvalue":[103],"pinwise":[105],"fission":[106],"distribution":[107],"coarse-group":[111],"equal":[115],"greater":[117],"number":[118],"degrees":[120],"freedom.":[122],"Remarkably,":[123],"this":[124,163],"is":[125,194],"despite":[126],"assigns":[131],"particularized":[133],"spectrum":[134],"problem\u2019s":[139],"57":[140],"760":[141],"spatial":[142],"regions":[143],"(e.g.,":[144],"individual":[146],"pin":[147],"unit-cell":[149],"water),":[151],"whereas":[152],"ROMs":[155],"apply":[156],"same":[158],"bases":[160],"throughout.":[161],"Moreover,":[162],"holds":[164],"even":[165,201],"when":[166],"constructing":[167],"from":[171],"only":[172],"solutions,":[176],"opposed":[178],"full":[181],"quarter-core":[182],"used":[184],"for":[185],"(and":[189],"against":[190],"which":[191],"accuracy":[193,200],"evaluated).":[195],"That":[196],"is,":[197],"enhances":[199],"while":[202],"obviating":[203],"cumbersome":[205],"mapping":[206],"between":[207],"assembly-level":[208],"reference":[209],"solutions":[210],"core-wide":[212],"target":[213],"problems":[214],"required":[215],"lattice":[218],"physics":[219],"workflows\u2014and":[220],"it,":[222],"usual":[224],"concerns":[225],"about":[226],"spectral":[228],"effects":[229],"core":[231],"leakage":[232],"assembly":[234],"interfaces.":[235]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-11T00:00:00"}