{"id":"https://openalex.org/W2005962184","doi":"https://doi.org/10.1137/120880021","title":"Hybrid Deterministic/Monte Carlo Neutronics","display_name":"Hybrid Deterministic/Monte Carlo Neutronics","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2005962184","doi":"https://doi.org/10.1137/120880021","mag":"2005962184"},"language":"en","primary_location":{"id":"doi:10.1137/120880021","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120880021","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/A5084502355","display_name":"Jeffrey Willert","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jeffrey Willert","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036627173","display_name":"C. T. Kelley","orcid":"https://orcid.org/0000-0003-2791-0648"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. T. Kelley","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113529688","display_name":"D. A. Knoll","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. A. Knoll","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5040882371","display_name":"HyeongKae Park","orcid":"https://orcid.org/0000-0002-0707-9677"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"H. Park","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5084502355"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.9314,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.95977298,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"35","issue":"5","first_page":"S62","last_page":"S83"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10597","display_name":"Nuclear reactor physics and engineering","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10597","display_name":"Nuclear reactor physics and engineering","score":0.9997000098228455,"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/T11949","display_name":"Nuclear Physics and Applications","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9915000200271606,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.8542048931121826},{"id":"https://openalex.org/keywords/quasi-monte-carlo-method","display_name":"Quasi-Monte Carlo method","score":0.6705882549285889},{"id":"https://openalex.org/keywords/hybrid-monte-carlo","display_name":"Hybrid Monte Carlo","score":0.661178469657898},{"id":"https://openalex.org/keywords/monte-carlo-molecular-modeling","display_name":"Monte Carlo molecular modeling","score":0.6588062644004822},{"id":"https://openalex.org/keywords/dynamic-monte-carlo-method","display_name":"Dynamic Monte Carlo method","score":0.6322460174560547},{"id":"https://openalex.org/keywords/monte-carlo-integration","display_name":"Monte Carlo integration","score":0.6246405839920044},{"id":"https://openalex.org/keywords/neutron-transport","display_name":"Neutron transport","score":0.5430968403816223},{"id":"https://openalex.org/keywords/monte-carlo-method-in-statistical-physics","display_name":"Monte Carlo method in statistical physics","score":0.5220950841903687},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4679849147796631},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.46521854400634766},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.45349228382110596},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43935900926589966},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.4385562539100647},{"id":"https://openalex.org/keywords/quantum-monte-carlo","display_name":"Quantum Monte Carlo","score":0.42797866463661194},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41608747839927673},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3611772656440735},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.35605520009994507},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17189204692840576},{"id":"https://openalex.org/keywords/neutron","display_name":"Neutron","score":0.09951654076576233}],"concepts":[{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.8542048931121826},{"id":"https://openalex.org/C63320529","wikidata":"https://www.wikidata.org/wiki/Q7269435","display_name":"Quasi-Monte Carlo method","level":5,"score":0.6705882549285889},{"id":"https://openalex.org/C13153151","wikidata":"https://www.wikidata.org/wiki/Q1639846","display_name":"Hybrid Monte Carlo","level":4,"score":0.661178469657898},{"id":"https://openalex.org/C37669827","wikidata":"https://www.wikidata.org/wiki/Q6904703","display_name":"Monte Carlo molecular modeling","level":4,"score":0.6588062644004822},{"id":"https://openalex.org/C122592724","wikidata":"https://www.wikidata.org/wiki/Q3855635","display_name":"Dynamic Monte Carlo method","level":3,"score":0.6322460174560547},{"id":"https://openalex.org/C132725507","wikidata":"https://www.wikidata.org/wiki/Q39879","display_name":"Monte Carlo integration","level":5,"score":0.6246405839920044},{"id":"https://openalex.org/C66963500","wikidata":"https://www.wikidata.org/wiki/Q3338735","display_name":"Neutron transport","level":3,"score":0.5430968403816223},{"id":"https://openalex.org/C204493344","wikidata":"https://www.wikidata.org/wiki/Q6904698","display_name":"Monte Carlo method in statistical physics","level":5,"score":0.5220950841903687},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4679849147796631},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.46521854400634766},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.45349228382110596},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43935900926589966},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.4385562539100647},{"id":"https://openalex.org/C16016025","wikidata":"https://www.wikidata.org/wiki/Q3861408","display_name":"Quantum Monte Carlo","level":3,"score":0.42797866463661194},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41608747839927673},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3611772656440735},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35605520009994507},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17189204692840576},{"id":"https://openalex.org/C152568617","wikidata":"https://www.wikidata.org/wiki/Q2348","display_name":"Neutron","level":2,"score":0.09951654076576233},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/120880021","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120880021","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8399999737739563,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1973114549","https://openalex.org/W1999644990","https://openalex.org/W2016423519","https://openalex.org/W2022504175","https://openalex.org/W2024972953","https://openalex.org/W2037199862","https://openalex.org/W2050183398","https://openalex.org/W2057231518","https://openalex.org/W2114784631","https://openalex.org/W2140153041","https://openalex.org/W2143476164","https://openalex.org/W2152342464","https://openalex.org/W2171303908"],"related_works":["https://openalex.org/W1593294472","https://openalex.org/W1540026157","https://openalex.org/W1548972748","https://openalex.org/W1526488073","https://openalex.org/W2504602870","https://openalex.org/W2001744437","https://openalex.org/W2950405812","https://openalex.org/W1571182056","https://openalex.org/W1993363438","https://openalex.org/W2078644085"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2,95],"we":[3],"describe":[4],"a":[5,35,82],"hybrid":[6],"deterministic/Monte":[7],"Carlo":[8,26,47,64,78,90],"algorithm":[9,15],"for":[10,21,28,39,87],"neutron":[11],"transport":[12],"simulation.":[13,91],"The":[14],"is":[16],"based":[17],"on":[18],"nonlinear":[19],"accelerators":[20],"source":[22],"iteration,":[23],"using":[24,53],"Monte":[25,46,63,77,89],"methods":[27],"the":[29,40,45,50,57,62,76,88,94,101,104],"purely":[30],"absorbing":[31],"high-order":[32],"problem":[33,52],"and":[34,59,66],"Jacobian-free":[36],"Newton--Krylov":[37],"iteration":[38],"low-order":[41,51],"problem.":[42],"We":[43,80,92],"couple":[44],"solution":[48],"with":[49,96],"filtering":[54],"to":[55,71],"smooth":[56],"flux":[58],"current":[60],"from":[61],"solver":[65],"an":[67],"analytic":[68],"Jacobian-vector":[69],"product":[70],"avoid":[72],"numerical":[73,97],"differentiation":[74],"of":[75,103],"results.":[79],"use":[81],"continuous":[83],"energy":[84],"deposition":[85],"tally":[86],"conclude":[93],"results":[98],"which":[99],"illustrate":[100],"effectiveness":[102],"new":[105],"algorithm.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}