{"id":"https://openalex.org/W4389452003","doi":"https://doi.org/10.1137/22m1494294","title":"A Characteristic-Spectral-Mixed Scheme for Six-Dimensional Wigner\u2013Coulomb Dynamics","display_name":"A Characteristic-Spectral-Mixed Scheme for Six-Dimensional Wigner\u2013Coulomb Dynamics","publication_year":2023,"publication_date":"2023-12-07","ids":{"openalex":"https://openalex.org/W4389452003","doi":"https://doi.org/10.1137/22m1494294"},"language":"en","primary_location":{"id":"doi:10.1137/22m1494294","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1494294","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/A5104038311","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"]},{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]},{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunfeng Xiong","raw_affiliation_strings":["CAPT, LMAM, and School of Mathematical Sciences, Peking University, Beijing, China","School of Mathematical Sciences, Beijing Normal University, Beijing, 100091, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CAPT, LMAM, and School of Mathematical Sciences, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"School of Mathematical Sciences, Beijing Normal University, Beijing, 100091, China","institution_ids":["https://openalex.org/I25254941","https://openalex.org/I96852419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076037753","display_name":"Yong Zhang","orcid":"https://orcid.org/0000-0003-4385-712X"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Zhang","raw_affiliation_strings":["The School of Mathematics, Tianjin University, Tianjin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The School of Mathematics, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"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":["Corresponding author. CAPT, LMAM, and School of Mathematical Sciences, Peking University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Corresponding author. CAPT, LMAM, and School of Mathematical Sciences, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1717,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.77398882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"45","issue":"6","first_page":"B906","last_page":"B931"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10346","display_name":"Magnetic confinement fusion research","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/T10384","display_name":"Laser-Plasma Interactions and Diagnostics","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7443315982818604},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5662703514099121},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5585581660270691},{"id":"https://openalex.org/keywords/coulomb","display_name":"Coulomb","score":0.4892239570617676},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4886353611946106},{"id":"https://openalex.org/keywords/spectral-analysis","display_name":"Spectral analysis","score":0.45866858959198},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36140066385269165},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32868409156799316},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17762482166290283},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.16580867767333984},{"id":"https://openalex.org/keywords/electron","display_name":"Electron","score":0.124808669090271}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7443315982818604},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5662703514099121},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5585581660270691},{"id":"https://openalex.org/C9342510","wikidata":"https://www.wikidata.org/wiki/Q25406","display_name":"Coulomb","level":3,"score":0.4892239570617676},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4886353611946106},{"id":"https://openalex.org/C2983668108","wikidata":"https://www.wikidata.org/wiki/Q280453","display_name":"Spectral analysis","level":3,"score":0.45866858959198},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36140066385269165},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32868409156799316},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17762482166290283},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16580867767333984},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.124808669090271},{"id":"https://openalex.org/C32891209","wikidata":"https://www.wikidata.org/wiki/Q483666","display_name":"Spectroscopy","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1494294","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1494294","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":[],"awards":[{"id":"https://openalex.org/G2291154235","display_name":null,"funder_award_id":"2021M690227","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G2821395316","display_name":null,"funder_award_id":"2020TQ0011","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G3693174597","display_name":null,"funder_award_id":"1210010642","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"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1716680397","https://openalex.org/W1903650371","https://openalex.org/W1978569830","https://openalex.org/W1990809425","https://openalex.org/W2016640272","https://openalex.org/W2019266959","https://openalex.org/W2028390238","https://openalex.org/W2042161256","https://openalex.org/W2050738345","https://openalex.org/W2053370228","https://openalex.org/W2056123795","https://openalex.org/W2057980618","https://openalex.org/W2058014884","https://openalex.org/W2061673303","https://openalex.org/W2090016274","https://openalex.org/W2120208332","https://openalex.org/W2161714225","https://openalex.org/W2315041532","https://openalex.org/W2336632864","https://openalex.org/W2405779711","https://openalex.org/W2557704438","https://openalex.org/W2618698696","https://openalex.org/W2752389751","https://openalex.org/W2899784371","https://openalex.org/W2899790486","https://openalex.org/W2919601020","https://openalex.org/W2952076354","https://openalex.org/W2963068646","https://openalex.org/W2963761042","https://openalex.org/W2967915048","https://openalex.org/W2974033018","https://openalex.org/W2981539034","https://openalex.org/W3000988347","https://openalex.org/W3103149268","https://openalex.org/W3104117848","https://openalex.org/W3125942415","https://openalex.org/W3165898261","https://openalex.org/W3206861844","https://openalex.org/W4231162035"],"related_works":["https://openalex.org/W1975289146","https://openalex.org/W3156661037","https://openalex.org/W2222996607","https://openalex.org/W2105887828","https://openalex.org/W2122599759","https://openalex.org/W4236520801","https://openalex.org/W2021443407","https://openalex.org/W1615245450","https://openalex.org/W1537234410","https://openalex.org/W1989057744"],"abstract_inverted_index":{".Numerical":[0],"resolution":[1],"for":[2],"6-D":[3,31],"Wigner":[4,74],"dynamics":[5],"under":[6],"the":[7,13,25,34,47,62,73,88,95,122,131,138,149,160,174,179,185,200,210],"Coulomb":[8],"potential":[9],"is":[10,43,101,218],"faced":[11],"with":[12,153],"combined":[14],"challenges":[15],"of":[16,30,36,49,72,77,82,113,134,182,189,212],"high":[17],"dimensionality,":[18],"nonlocality,":[19],"oscillation,":[20],"and":[21,80,141,178,187,198,203],"singularity.":[22],"In":[23],"particular,":[24],"extremely":[26],"huge":[27],"memory":[28],"storage":[29],"grids":[32],"hinders":[33],"usage":[35],"all":[37],"existing":[38],"deterministic":[39],"numerical":[40],"schemes,":[41],"which":[42],"well":[44],"known":[45],"as":[46,125,127],"curse":[48],"dimensionality.":[50],"To":[51,147],"surmount":[52],"these":[53],"difficulties,":[54],"we":[55],"propose":[56],"a":[57,104,111,154,166],"massively":[58],"parallel":[59],"solver,":[60],"termed":[61],"characteristic-spectral-mixed":[63],"(CHASM)":[64],"scheme,":[65],"by":[66],"fully":[67],"exploiting":[68],"two":[69],"distinct":[70],"features":[71],"equation:":[75],"locality":[76],"spatial":[78,97],"advection":[79],"nonlocality":[81],"quantum":[83,175,204],"interaction.":[84],"Our":[85],"scheme":[86],"utilizes":[87],"local":[89,96],"cubic":[90],"B-spline":[91],"basis":[92,136],"to":[93,102,109,130,164,215],"interpolate":[94],"advection.":[98],"The":[99],"key":[100],"use":[103],"perfectly":[105],"matched":[106],"boundary":[107],"condition":[108],"give":[110],"closure":[112],"spline":[114],"coefficients,":[115],"so":[116],"that":[117],"distributed":[118],"pieces":[119],"can":[120],"recover":[121],"global":[123],"one":[124],"accurately":[126],"possible":[128],"owing":[129],"rapid":[132],"decay":[133],"wavelet":[135],"in":[137,206],"dual":[139],"space,":[140],"communication":[142],"costs":[143],"are":[144,194],"significantly":[145],"reduced.":[146],"resolve":[148],"nonlocal":[150],"pseudodifferential":[151],"operator":[152],"singular":[155],"symbol,":[156],"CHASM":[157,213],"further":[158],"adopts":[159],"truncated":[161],"kernel":[162,225],"method":[163],"attain":[165],"highly":[167],"efficient":[168],"approximation.":[169],"Several":[170],"typical":[171],"experiments":[172],"including":[173],"harmonic":[176],"oscillator":[177],"1s":[180],"state":[181],"hydrogen":[183],"demonstrate":[184],"accuracy":[186],"efficiency":[188],"CHASM.":[190],"Nonequilibrium":[191],"electron-proton":[192],"couplings":[193],"also":[195],"clearly":[196],"displayed":[197],"illuminate":[199],"uncertainty":[201],"principle":[202],"tunneling":[205],"phase":[207],"space.":[208],"Finally,":[209],"scalability":[211],"up":[214],"16000":[216],"cores":[217],"presented.KeywordsWigner":[219],"equationCoulomb":[220],"interactionparallel":[221],"semi-Lagrangian":[222],"schemenonlocal":[223],"operatortruncated":[224],"methoddistributed":[226],"computingMSC":[227],"codes81S3065M2565M7065Y0535S05":[228]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}