{"id":"https://openalex.org/W2526869102","doi":"https://doi.org/10.1007/s10915-016-0292-8","title":"An Approximation of the $$M_2$$ M 2 Closure: Application to Radiotherapy Dose Simulation","display_name":"An Approximation of the $$M_2$$ M 2 Closure: Application to Radiotherapy Dose Simulation","publication_year":2016,"publication_date":"2016-09-28","ids":{"openalex":"https://openalex.org/W2526869102","doi":"https://doi.org/10.1007/s10915-016-0292-8","mag":"2526869102"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-016-0292-8","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5036164796","display_name":"Teddy Pichard","orcid":"https://orcid.org/0000-0002-9862-4019"},"institutions":[{"id":"https://openalex.org/I4210116612","display_name":"Centre Lasers Intenses et Applications","ror":"https://ror.org/02910d597","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I2738703131","https://openalex.org/I4210098836","https://openalex.org/I4210116612"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"T. Pichard","raw_affiliation_strings":["CELIA, Universit\u00e9 de Bordeaux, 351 cours de la lib\u00e9ration, 33400, Talence, France"],"affiliations":[{"raw_affiliation_string":"CELIA, Universit\u00e9 de Bordeaux, 351 cours de la lib\u00e9ration, 33400, Talence, France","institution_ids":["https://openalex.org/I4210116612","https://openalex.org/I15057530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051248269","display_name":"Graham W. Alldredge","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"G. W. Alldredge","raw_affiliation_strings":["MathCCES, RWTH Aachen University, Schinkelstr. 2., 52062, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"MathCCES, RWTH Aachen University, Schinkelstr. 2., 52062, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015193001","display_name":"St\u00e9phane Brull","orcid":"https://orcid.org/0000-0003-3823-8199"},"institutions":[{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S. Brull","raw_affiliation_strings":["IMB, Universit\u00e9 de Bordeaux, 351 cours de la lib\u00e9ration, 33400, Talence, France"],"affiliations":[{"raw_affiliation_string":"IMB, Universit\u00e9 de Bordeaux, 351 cours de la lib\u00e9ration, 33400, Talence, France","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I15057530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108551512","display_name":"B. Dubroca","orcid":null},"institutions":[{"id":"https://openalex.org/I4210116612","display_name":"Centre Lasers Intenses et Applications","ror":"https://ror.org/02910d597","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I2738703131","https://openalex.org/I4210098836","https://openalex.org/I4210116612"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"B. Dubroca","raw_affiliation_strings":["CELIA, Universit\u00e9 de Bordeaux, 351 cours de la lib\u00e9ration, 33400, Talence, France"],"affiliations":[{"raw_affiliation_string":"CELIA, Universit\u00e9 de Bordeaux, 351 cours de la lib\u00e9ration, 33400, Talence, France","institution_ids":["https://openalex.org/I4210116612","https://openalex.org/I15057530"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101567482","display_name":"Martin Frank","orcid":"https://orcid.org/0000-0001-8562-6982"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Frank","raw_affiliation_strings":["MathCCES, RWTH Aachen University, Schinkelstr. 2., 52062, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"MathCCES, RWTH Aachen University, Schinkelstr. 2., 52062, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990,"provenance":"doaj"},"apc_paid":null,"fwci":1.391,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.885056,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":86,"max":87},"biblio":{"volume":"71","issue":"1","first_page":"71","last_page":"108"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9999,"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"}},"topics":[{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9999,"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/T11176","display_name":"Radiation Therapy and Dosimetry","score":0.9991,"subfield":{"id":"https://openalex.org/subfields/2740","display_name":"Pulmonary and Respiratory Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10597","display_name":"Nuclear reactor physics and engineering","score":0.9989,"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/realizability","display_name":"Realizability","score":0.63486993},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5821413},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.57836866}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6874798},{"id":"https://openalex.org/C2776378722","wikidata":"https://www.wikidata.org/wiki/Q3454417","display_name":"Realizability","level":2,"score":0.63486993},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5821413},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.57836866},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.57388574},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.57021356},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.56451774},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.48716113},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35222006},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2715112},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21021304},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-016-0292-8","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":52,"referenced_works":["https://openalex.org/W1479875173","https://openalex.org/W1549057003","https://openalex.org/W1650035168","https://openalex.org/W1967635336","https://openalex.org/W1971599530","https://openalex.org/W1977633159","https://openalex.org/W1983402014","https://openalex.org/W1986769465","https://openalex.org/W1998444595","https://openalex.org/W2003801702","https://openalex.org/W2015474278","https://openalex.org/W2020084878","https://openalex.org/W2023109807","https://openalex.org/W2023141162","https://openalex.org/W2029773579","https://openalex.org/W2042874713","https://openalex.org/W2043057066","https://openalex.org/W2045455639","https://openalex.org/W2051247278","https://openalex.org/W2057259352","https://openalex.org/W2060059568","https://openalex.org/W2063430114","https://openalex.org/W2063910347","https://openalex.org/W2067134228","https://openalex.org/W2076764543","https://openalex.org/W2096876265","https://openalex.org/W2100509087","https://openalex.org/W2115410170","https://openalex.org/W2115800193","https://openalex.org/W2117265445","https://openalex.org/W2131947874","https://openalex.org/W2136908672","https://openalex.org/W2137331932","https://openalex.org/W2144531472","https://openalex.org/W2152550639","https://openalex.org/W2153658046","https://openalex.org/W2159998136","https://openalex.org/W2167307457","https://openalex.org/W2211446553","https://openalex.org/W2253786376","https://openalex.org/W2259501791","https://openalex.org/W2326159504","https://openalex.org/W2330088631","https://openalex.org/W2332842017","https://openalex.org/W2340562494","https://openalex.org/W2343002058","https://openalex.org/W2463355752","https://openalex.org/W2473910930","https://openalex.org/W2479988433","https://openalex.org/W2525410392","https://openalex.org/W3135227555","https://openalex.org/W41550139"],"related_works":["https://openalex.org/W4388482258","https://openalex.org/W4298120007","https://openalex.org/W3173554384","https://openalex.org/W2321910655","https://openalex.org/W2136737082","https://openalex.org/W2051968535","https://openalex.org/W2033443491","https://openalex.org/W1857750633","https://openalex.org/W1603488308","https://openalex.org/W1517224694"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2526869102","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2024-12-12T09:23:47.176374","created_date":"2016-10-07"}