{"id":"https://openalex.org/W7211869034","doi":"https://doi.org/10.48550/arxiv.2609.04451","title":"Reduced Precision Diffusion Synthetic Acceleration for S$_N$ Neutron Transport in LLNL's ARDRA using Hypre","display_name":"Reduced Precision Diffusion Synthetic Acceleration for S$_N$ Neutron Transport in LLNL's ARDRA using Hypre","publication_year":2026,"publication_date":"2026-09-03","ids":{"openalex":"https://openalex.org/W7211869034","doi":"https://doi.org/10.48550/arxiv.2609.04451"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.04451","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.04451","pdf_url":"https://arxiv.org/pdf/2609.04451","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.04451","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010123225","display_name":"Joanna Piper Morgan","orcid":"https://orcid.org/0000-0003-1379-5431","observed_orcids":["https://orcid.org/0000-0003-1379-5431"]},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Morgan, Joanna Piper","raw_affiliation_strings":["Lawrence Livermore National Laboratory , Livermore , CA 94551"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Livermore National Laboratory , Livermore , CA 94551","institution_ids":["https://openalex.org/I1282311441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069825924","display_name":"Mario I. Ortega","orcid":"https://orcid.org/0000-0002-5498-9577","observed_orcids":["https://orcid.org/0000-0002-5498-9577"]},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ortega, Mario Ivan","raw_affiliation_strings":["Lawrence Livermore National Laboratory , Livermore , CA 94551"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Livermore National Laboratory , Livermore , CA 94551","institution_ids":["https://openalex.org/I1282311441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1282311441"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10597","display_name":"Nuclear reactor physics and engineering","score":0.47920000553131104,"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"}},"topics":[{"id":"https://openalex.org/T10597","display_name":"Nuclear reactor physics and engineering","score":0.47920000553131104,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.30399999022483826,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12304","display_name":"Radiative Heat Transfer Studies","score":0.09239999949932098,"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/diffusion-synthetic-acceleration","display_name":"diffusion synthetic acceleration","score":0.9710000157356262},{"id":"https://openalex.org/keywords/ardra","display_name":"ARDRA","score":0.8389999866485596},{"id":"https://openalex.org/keywords/hypre","display_name":"hypre","score":0.7419999837875366},{"id":"https://openalex.org/keywords/multigrid-methods","display_name":"multigrid methods","score":0.7649999856948853},{"id":"https://openalex.org/keywords/source-iteration","display_name":"source iteration","score":0.8299999833106995},{"id":"https://openalex.org/keywords/convergence-acceleration","display_name":"convergence acceleration","score":0.7570000290870667},{"id":"https://openalex.org/keywords/time-to-solution","display_name":"solution time","score":0.6700000166893005},{"id":"https://openalex.org/keywords/memory-cost","display_name":"memory cost","score":0.37400001287460327}],"concepts":[{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.8223000168800354},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7170000076293945},{"id":"https://openalex.org/C66963500","wikidata":"https://www.wikidata.org/wiki/Q3338735","display_name":"Neutron transport","level":3,"score":0.6800000071525574},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5029000043869019},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5001000165939331},{"id":"https://openalex.org/C202799725","wikidata":"https://www.wikidata.org/wiki/Q272035","display_name":"Accuracy and precision","level":2,"score":0.4828000068664551},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47699999809265137},{"id":"https://openalex.org/C35912277","wikidata":"https://www.wikidata.org/wiki/Q1243369","display_name":"Double-precision floating-point format","level":3,"score":0.43209999799728394},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4268999993801117},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4090000092983246},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.40529999136924744},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4027000069618225},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.37459999322891235},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.35190001130104065},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.32260000705718994},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27799999713897705},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2669000029563904},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.26089999079704285}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.04451","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.04451","pdf_url":"https://arxiv.org/pdf/2609.04451","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.2609.04451","doi":"https://doi.org/10.48550/arxiv.2609.04451","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.04451","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.04451","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.04451","pdf_url":"https://arxiv.org/pdf/2609.04451","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1356433355","display_name":null,"funder_award_id":"DE\u2010AC5207NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G14554683","display_name":null,"funder_award_id":"DEAC5207NA27344","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2145270357","display_name":null,"funder_award_id":"AC52\u201007NA27344","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3669113783","display_name":null,"funder_award_id":"07NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G895790057","display_name":null,"funder_award_id":"DE-AC52","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G991281326","display_name":null,"funder_award_id":"AC52-07NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320338286","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7211869034.pdf","grobid_xml":"https://content.openalex.org/works/W7211869034.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2761557134","https://openalex.org/W188327111","https://openalex.org/W2888650988","https://openalex.org/W2804771928","https://openalex.org/W1915587751","https://openalex.org/W2898282333","https://openalex.org/W3189266731","https://openalex.org/W2037052400","https://openalex.org/W2987983560","https://openalex.org/W2416828462"],"abstract_inverted_index":{"Fast":[0],"solution":[1,34],"times":[2,55],"in":[3,108,138,146,189,194,213],"production":[4],"discrete":[5,153],"ordinates":[6],"transport":[7,33,49,106,157,182,231],"codes":[8],"often":[9],"require":[10],"the":[11,26,32,36,62,78,85,89,101,203,230],"use":[12],"of":[13,21,28,38,64,88,104,134,172,184,206],"diffusion":[14],"synthetic":[15],"acceleration":[16,193,204],"(DSA).":[17],"A":[18],"good":[19],"implementation":[20],"DSA":[22,120,137,145,192,207,224],"will":[23,51],"substantially":[24,83],"reduce":[25],"number":[27],"iterations":[29,50,107],"to":[30,53,56,129,199,227,236],"converge":[31],"at":[35,44],"cost":[37,71],"solving":[39],"a":[40,115,125],"diffusion-like":[41],"linear":[42,92,165,175],"system":[43,93],"each":[45],"iteration.":[46],"Often":[47],"fewer":[48],"lead":[52],"smaller":[54],"solution.":[57,237],"Recent":[58],"work":[59],"has":[60,197],"shown":[61],"promise":[63],"reduced":[65,79,116,135,143,195,222],"precision":[66,80,91,110,117,136,144,174,196,223],"preconditioning.":[67],"Time":[68],"and":[69,167,233],"memory":[70],"can":[72],"be":[73],"decreased":[74],"as":[75,77,217],"long":[76],"does":[81],"not":[82],"degrade":[84],"convergence":[86],"behavior":[87],"higher":[90],"being":[94],"solved.":[95],"In":[96],"this":[97],"paper,":[98],"we":[99,141,178],"discuss":[100],"algorithmic":[102],"implications":[103],"accelerating":[105],"double":[109],"(64":[111],"bit)":[112,119],"while":[113],"using":[114],"(32":[118],"solve.":[121],"We":[122,186],"initially":[123],"implement":[124,142],"stand":[126],"alone":[127],"code":[128],"investigate":[130],"any":[131],"theoretical":[132],"limitations":[133],"slabs.":[139],"Then":[140,177],"ARDRA,":[147],"Lawrence":[148],"Livermore":[149],"National":[150],"Laboratory's":[151],"(LLNL)":[152],"ordinance":[154],"neutral":[155],"particle":[156],"code,":[158],"coupled":[159],"with":[160,210],"{\\it":[161],"hypre},":[162],"LLNL's":[163],"scalable":[164],"solver":[166],"multigrid":[168],"methods":[169],"library":[170],"capable":[171],"mixed":[173],"solves":[176],"solve":[179,232],"various":[180],"neutron":[181],"problems":[183],"interest.":[185],"find":[187],"that":[188],"most":[190,214],"circumstances,":[191],"little":[198],"no":[200],"impact":[201],"on":[202],"properties":[205],"when":[208],"used":[209],"source":[211],"iteration":[212],"circumstances.":[215],"However,":[216],"tighter":[218],"tolerances":[219],"are":[220],"required,":[221],"may":[225],"fail":[226],"successfully":[228],"accelerate":[229],"increase":[234],"time":[235]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-08T00:00:00"}