{"id":"https://openalex.org/W2080612171","doi":"https://doi.org/10.1137/s1064827599364969","title":"The Random Projection Method for Stiff Detonation Capturing","display_name":"The Random Projection Method for Stiff Detonation Capturing","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2080612171","doi":"https://doi.org/10.1137/s1064827599364969","mag":"2080612171"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827599364969","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827599364969","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/A5100759028","display_name":"Weizhu Bao","orcid":"https://orcid.org/0000-0003-3418-9625"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Weizhu Bao","raw_affiliation_strings":["National University of Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National University of Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017812804","display_name":"Shi Jin","orcid":"https://orcid.org/0000-0002-8635-7435"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shi Jin","raw_affiliation_strings":["University of Wisconsin, Madison"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wisconsin, Madison","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6563,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.88916727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"23","issue":"3","first_page":"1000","last_page":"1026"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T11619","display_name":"Combustion and Detonation Processes","score":0.9980000257492065,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9965999722480774,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/detonation","display_name":"Detonation","score":0.8204525709152222},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6475144028663635},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6428554058074951},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5781849026679993},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.5165061354637146},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5054547786712646},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5013799667358398},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37181198596954346},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25187283754348755},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.17120486497879028},{"id":"https://openalex.org/keywords/explosive-material","display_name":"Explosive material","score":0.13473108410835266}],"concepts":[{"id":"https://openalex.org/C203397868","wikidata":"https://www.wikidata.org/wiki/Q786054","display_name":"Detonation","level":3,"score":0.8204525709152222},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6475144028663635},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6428554058074951},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5781849026679993},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.5165061354637146},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5054547786712646},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5013799667358398},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37181198596954346},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25187283754348755},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.17120486497879028},{"id":"https://openalex.org/C154238967","wikidata":"https://www.wikidata.org/wiki/Q12870","display_name":"Explosive material","level":2,"score":0.13473108410835266},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s1064827599364969","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827599364969","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:scholarbank.nus.edu.sg:10635/104880","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/104880","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.395.6204","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.395.6204","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.nus.edu.sg/~bao/PS/BJ1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1532515344","https://openalex.org/W1985813224","https://openalex.org/W1996106164","https://openalex.org/W1997296500","https://openalex.org/W1999026508","https://openalex.org/W1999470933","https://openalex.org/W2014208555","https://openalex.org/W2026388260","https://openalex.org/W2032650387","https://openalex.org/W2034049222","https://openalex.org/W2044738523","https://openalex.org/W2067565344","https://openalex.org/W2073447845","https://openalex.org/W2076447468","https://openalex.org/W2084265334","https://openalex.org/W2094710134","https://openalex.org/W2156033209","https://openalex.org/W2160541873","https://openalex.org/W3036269677"],"related_works":["https://openalex.org/W2393270639","https://openalex.org/W774881382","https://openalex.org/W2617963432","https://openalex.org/W2033390858","https://openalex.org/W2899022965","https://openalex.org/W2392770728","https://openalex.org/W2615976479","https://openalex.org/W3149161931","https://openalex.org/W2774026033","https://openalex.org/W2296570413"],"abstract_inverted_index":{"In":[0],"this":[1,103],"paper":[2],"we":[3],"present":[4],"a":[5,64],"simple":[6],"and":[7,47,76,93,100],"robust":[8],"random":[9,30],"projection":[10,31],"method":[11,25,32],"for":[12,37],"underresolved":[13],"numerical":[14,86],"simulation":[15],"of":[16,73,83,90,102],"stiff":[17,42],"detonation":[18,91],"waves":[19],"in":[20,63,94],"chemically":[21],"reacting":[22],"flows.":[23],"This":[24],"is":[26,61,68],"based":[27],"on":[28],"the":[29,35,58,71,81,98],"proposed":[33],"by":[34],"authors":[36],"general":[38],"hyperbolic":[39],"systems":[40],"with":[41],"reaction":[43,75],"terms":[44],"[W.":[45],"Bao":[46],"S.":[48],"Jin,":[49],"J.":[50],"Comput.":[51],"Phys.,":[52],"163":[53],"(2000),":[54],"pp.":[55],"216--248],":[56],"where":[57],"ignition":[59],"temperature":[60],"randomized":[62],"suitable":[65],"domain.":[66],"It":[67],"simplified":[69],"using":[70],"equations":[72],"instantaneous":[74],"then":[77],"extended":[78],"to":[79],"handle":[80],"interactions":[82],"detonations.":[84],"Extensive":[85],"experiments,":[87],"including":[88],"interaction":[89],"waves,":[92],"two":[95],"dimensions,":[96],"demonstrate":[97],"reliability":[99],"robustness":[101],"novel":[104],"method.":[105]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
