{"id":"https://openalex.org/W2963761042","doi":"https://doi.org/10.1137/15m1051373","title":"An Advective-Spectral-Mixed Method for Time-Dependent Many-Body Wigner Simulations","display_name":"An Advective-Spectral-Mixed Method for Time-Dependent Many-Body Wigner Simulations","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2963761042","doi":"https://doi.org/10.1137/15m1051373","mag":"2963761042"},"language":"en","primary_location":{"id":"doi:10.1137/15m1051373","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1051373","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/A5032277932","display_name":"Yunfeng Xiong","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yunfeng Xiong","raw_affiliation_strings":["LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000833104","display_name":"Zhenzhu Chen","orcid":"https://orcid.org/0000-0001-6094-5995"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenzhu Chen","raw_affiliation_strings":["LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061728488","display_name":"Sihong Shao","orcid":"https://orcid.org/0000-0001-7439-9163"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sihong Shao","raw_affiliation_strings":["LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032277932"],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":null,"apc_paid":null,"fwci":1.7366,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.8587699,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"38","issue":"4","first_page":"B491","last_page":"B520"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10002","display_name":"Advanced Chemical Physics Studies","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10002","display_name":"Advanced Chemical Physics Studies","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11965","display_name":"Quantum, superfluid, helium dynamics","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/mathematics","display_name":"Mathematics","score":0.6513828039169312},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47425878047943115},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.47101983428001404},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.46406421065330505},{"id":"https://openalex.org/keywords/wigner-distribution-function","display_name":"Wigner distribution function","score":0.43349990248680115},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4160865247249603},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.366293728351593},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2982264757156372},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.26855120062828064}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6513828039169312},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47425878047943115},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.47101983428001404},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.46406421065330505},{"id":"https://openalex.org/C151077058","wikidata":"https://www.wikidata.org/wiki/Q233415","display_name":"Wigner distribution function","level":3,"score":0.43349990248680115},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4160865247249603},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.366293728351593},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2982264757156372},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.26855120062828064}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/15m1051373","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1051373","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":0.5,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G5626121226","display_name":null,"funder_award_id":"91330110","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7775857899","display_name":null,"funder_award_id":"11471025","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8051312613","display_name":null,"funder_award_id":"11421101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1629636644","https://openalex.org/W1716680397","https://openalex.org/W1970931718","https://openalex.org/W1971112973","https://openalex.org/W1984041726","https://openalex.org/W1987401182","https://openalex.org/W1995106080","https://openalex.org/W2015635860","https://openalex.org/W2016640272","https://openalex.org/W2022113824","https://openalex.org/W2028440828","https://openalex.org/W2032936919","https://openalex.org/W2034841351","https://openalex.org/W2046274354","https://openalex.org/W2050738345","https://openalex.org/W2056123795","https://openalex.org/W2058122317","https://openalex.org/W2059402571","https://openalex.org/W2061579769","https://openalex.org/W2061777432","https://openalex.org/W2063162476","https://openalex.org/W2089977632","https://openalex.org/W2144357688","https://openalex.org/W2163440371","https://openalex.org/W2259258372","https://openalex.org/W2328591310","https://openalex.org/W2763535951","https://openalex.org/W3099673477","https://openalex.org/W3143991714","https://openalex.org/W3165898261"],"related_works":["https://openalex.org/W3036101264","https://openalex.org/W2163151373","https://openalex.org/W1986676657","https://openalex.org/W1619487627","https://openalex.org/W4238257821","https://openalex.org/W2165001118","https://openalex.org/W2022713607","https://openalex.org/W2794551621","https://openalex.org/W4246396821","https://openalex.org/W1523233633"],"abstract_inverted_index":{"As":[0],"a":[1,13,69,137,187],"phase":[2],"space":[3],"language":[4],"for":[5,50,110,153],"quantum":[6,28],"mechanics,":[7],"the":[8,58,63,77,82,95,101,114,121,125,131,145,154,160,180,191],"Wigner":[9,66],"function":[10],"approach":[11],"bears":[12],"close":[14],"analogy":[15],"to":[16,40,61,80],"classical":[17],"mechanics":[18],"and":[19,44,135,186,198],"has":[20],"been":[21,36],"drawing":[22],"growing":[23],"attention,":[24],"especially":[25],"in":[26,85,106],"simulating":[27],"many-body":[29,65],"systems.":[30],"However,":[31],"deterministic":[32],"numerical":[33,177],"solutions":[34],"have":[35],"almost":[37],"exclusively":[38],"confined":[39],"one-dimensional":[41,51],"one-body":[42],"systems":[43],"few":[45],"results":[46],"are":[47],"reported":[48],"even":[49],"two-body":[52],"problems.":[53],"This":[54],"paper":[55],"serves":[56],"as":[57],"first":[59],"attempt":[60],"solve":[62],"time-dependent":[64],"equation":[67],"through":[68,174],"grid-based":[70],"advective-spectral-mixed":[71,161],"method.":[72],"The":[73,170],"main":[74],"feature":[75],"of":[76,113,124,157],"method":[78,105,127,162],"is":[79,108,120,141,172,201],"resolve":[81],"linear":[83],"advection":[84],"$(\\boldsymbol{x},t)$-space":[86],"by":[87,130],"an":[88],"explicit":[89],"three-step":[90],"characteristic":[91],"scheme":[92],"coupled":[93],"with":[94],"piecewise":[96],"cubic":[97],"spline":[98],"interpolation,":[99],"while":[100],"Chebyshev":[102],"spectral":[103],"element":[104],"$\\boldsymbol{k}$-space":[107],"adopted":[109],"accurate":[111],"calculation":[112],"nonlocal":[115],"pseudo-differential":[116],"term.":[117],"Not":[118],"only":[119],"time":[122,139,199],"step":[123,140],"resulting":[126],"not":[128],"restricted":[129],"usual":[132],"CFL":[133],"condition":[134],"thus":[136],"large":[138],"allowed,":[142],"but":[143],"also":[144,164],"mass":[146],"conservation":[147],"can":[148,163],"be":[149],"maintained.":[150],"In":[151],"particular,":[152],"system":[155],"consisting":[156],"identical":[158],"particles,":[159],"rigorously":[165],"preserve":[166],"physical":[167],"symmetry":[168],"relations.":[169],"performance":[171],"validated":[173],"several":[175],"typical":[176],"experiments,":[178],"like":[179],"Gaussian":[181],"barrier":[182],"scattering,":[183],"electron-electron":[184],"interaction":[185],"Helium-like":[188],"system,":[189],"where":[190],"third-order":[192],"accuracy":[193],"against":[194],"both":[195],"grid":[196],"spacing":[197],"stepping":[200],"observed.":[202]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-30T09:15:22.047038","created_date":"2025-10-10T00:00:00"}
