{"id":"https://openalex.org/W2602762124","doi":"https://doi.org/10.1137/17m1121299","title":"A Surface Hopping Gaussian Beam Method for High-Dimensional Transport Systems","display_name":"A Surface Hopping Gaussian Beam Method for High-Dimensional Transport Systems","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2602762124","doi":"https://doi.org/10.1137/17m1121299","mag":"2602762124"},"language":"en","primary_location":{"id":"doi:10.1137/17m1121299","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1121299","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/A5052875563","display_name":"Zhenning Cai","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhenning Cai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5061472917","display_name":"Jianfeng Lu","orcid":"https://orcid.org/0000-0001-6255-5165"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jianfeng Lu","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-6255-5165","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2082,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.4737416,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"40","issue":"5","first_page":"B1277","last_page":"B1301"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9599000215530396,"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":0.9599000215530396,"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/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9567999839782715,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9513000249862671,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/gaussian","display_name":"Gaussian","score":0.7008287906646729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6753231287002563},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6072508692741394},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.5615794658660889},{"id":"https://openalex.org/keywords/surface-hopping","display_name":"Surface hopping","score":0.5560904741287231},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5199188590049744},{"id":"https://openalex.org/keywords/gaussian-beam","display_name":"Gaussian beam","score":0.5100075006484985},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42944878339767456},{"id":"https://openalex.org/keywords/linear-equation","display_name":"Linear equation","score":0.42180347442626953},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.41233164072036743},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3778713047504425},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3724481463432312},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3238464593887329},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22825175523757935},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21359333395957947},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1825578212738037},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.18183457851409912},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.14736217260360718}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.7008287906646729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6753231287002563},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6072508692741394},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.5615794658660889},{"id":"https://openalex.org/C2780242237","wikidata":"https://www.wikidata.org/wiki/Q17155550","display_name":"Surface hopping","level":3,"score":0.5560904741287231},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5199188590049744},{"id":"https://openalex.org/C2778315978","wikidata":"https://www.wikidata.org/wiki/Q944873","display_name":"Gaussian beam","level":3,"score":0.5100075006484985},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42944878339767456},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.42180347442626953},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.41233164072036743},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3778713047504425},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3724481463432312},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3238464593887329},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22825175523757935},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21359333395957947},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1825578212738037},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.18183457851409912},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.14736217260360718}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/17m1121299","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1121299","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":[{"score":0.4000000059604645,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G4528557337","display_name":null,"funder_award_id":"RNMS11-07444","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7534110628","display_name":null,"funder_award_id":"DMS-1454939","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W756102934","https://openalex.org/W1607131250","https://openalex.org/W1964443055","https://openalex.org/W1971381084","https://openalex.org/W1983797262","https://openalex.org/W1994807377","https://openalex.org/W1998846299","https://openalex.org/W2031452526","https://openalex.org/W2036490185","https://openalex.org/W2068920655","https://openalex.org/W2078294955","https://openalex.org/W2081173005","https://openalex.org/W2083318404","https://openalex.org/W2088526215","https://openalex.org/W2090324938","https://openalex.org/W2091385357","https://openalex.org/W2093031892","https://openalex.org/W2103318741","https://openalex.org/W2117870218","https://openalex.org/W2134164536","https://openalex.org/W2169014806","https://openalex.org/W2402350906","https://openalex.org/W2734576260","https://openalex.org/W2963452565","https://openalex.org/W3098207462","https://openalex.org/W3100915972"],"related_works":["https://openalex.org/W3100630735","https://openalex.org/W4390961185","https://openalex.org/W3109361839","https://openalex.org/W2588686467","https://openalex.org/W1997170604","https://openalex.org/W2965376497","https://openalex.org/W4323825323","https://openalex.org/W4226194504","https://openalex.org/W288746350","https://openalex.org/W2029475776"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,10,16],"set":[3],"of":[4],"linear":[5,11],"hyperbolic":[6],"equations":[7,58],"coupled":[8],"by":[9],"source":[12],"term":[13],"and":[14,49],"introduce":[15],"surface":[17,35],"hopping":[18,36],"Gaussian":[19,27],"beam":[20,28],"method":[21],"as":[22],"its":[23,63],"numerical":[24],"solver.":[25],"The":[26,43],"part":[29,37],"is":[30,38,59],"basically":[31],"classic,":[32],"while":[33],"the":[34,41,55],"derived":[39],"from":[40],"equations.":[42],"whole":[44],"algorithm":[45],"shows":[46],"high":[47],"efficiency":[48],"good":[50],"parallelizability.":[51],"An":[52],"application":[53],"on":[54],"quantum-classical":[56],"Liouville":[57],"presented":[60],"to":[61],"show":[62],"potential":[64],"use":[65],"in":[66],"practice.":[67]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
