{"id":"https://openalex.org/W2765696110","doi":"https://doi.org/10.1137/16m1090028","title":"The Vlasov--Poisson--Fokker--Planck System with Uncertainty and a One-dimensional Asymptotic Preserving Method","display_name":"The Vlasov--Poisson--Fokker--Planck System with Uncertainty and a One-dimensional Asymptotic Preserving Method","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2765696110","doi":"https://doi.org/10.1137/16m1090028","mag":"2765696110"},"language":"en","primary_location":{"id":"doi:10.1137/16m1090028","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1090028","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","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/A5101832219","display_name":"Yuhua Zhu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yuhua Zhu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5017812804","display_name":"Shi Jin","orcid":"https://orcid.org/0000-0002-8635-7435"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shi Jin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.4771,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.95339793,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"15","issue":"4","first_page":"1502","last_page":"1529"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11371","display_name":"Wind and Air Flow Studies","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9814000129699707,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/fokker\u2013planck-equation","display_name":"Fokker\u2013Planck equation","score":0.813948392868042},{"id":"https://openalex.org/keywords/vlasov-equation","display_name":"Vlasov equation","score":0.5315043330192566},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5180816650390625},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.49566495418548584},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48593607544898987},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4684861898422241},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4373566806316376},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4025948643684387},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3639424443244934},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3252409100532532},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.22970625758171082},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.21373000741004944},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11665299534797668},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10299620032310486}],"concepts":[{"id":"https://openalex.org/C69123182","wikidata":"https://www.wikidata.org/wiki/Q891766","display_name":"Fokker\u2013Planck equation","level":3,"score":0.813948392868042},{"id":"https://openalex.org/C186175660","wikidata":"https://www.wikidata.org/wiki/Q2323892","display_name":"Vlasov equation","level":3,"score":0.5315043330192566},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5180816650390625},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.49566495418548584},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48593607544898987},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4684861898422241},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4373566806316376},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4025948643684387},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3639424443244934},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3252409100532532},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.22970625758171082},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.21373000741004944},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11665299534797668},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10299620032310486}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/16m1090028","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1090028","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1613156395","display_name":null,"funder_award_id":"91330203","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5610536900","display_name":null,"funder_award_id":"DMS-1522184","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6444692754","display_name":null,"funder_award_id":"DMS-1107291","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"},{"id":"https://openalex.org/F4320306555","display_name":"Wisconsin Alumni Research Foundation","ror":"https://ror.org/00hwxbz16"},{"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":23,"referenced_works":["https://openalex.org/W1538934584","https://openalex.org/W1554134448","https://openalex.org/W1967714339","https://openalex.org/W1971642223","https://openalex.org/W1978434425","https://openalex.org/W2001032670","https://openalex.org/W2015036110","https://openalex.org/W2018159038","https://openalex.org/W2031982439","https://openalex.org/W2066934546","https://openalex.org/W2067857689","https://openalex.org/W2083974861","https://openalex.org/W2117709159","https://openalex.org/W2157079694","https://openalex.org/W2162488624","https://openalex.org/W2275211603","https://openalex.org/W2303941511","https://openalex.org/W2560286998","https://openalex.org/W2562640896","https://openalex.org/W2575736835","https://openalex.org/W2600269031","https://openalex.org/W2613825967","https://openalex.org/W3217167116"],"related_works":["https://openalex.org/W2613209927","https://openalex.org/W2963591418","https://openalex.org/W2793934670","https://openalex.org/W1987114421","https://openalex.org/W2050437410","https://openalex.org/W2111830139","https://openalex.org/W1969935263","https://openalex.org/W4297853754","https://openalex.org/W2020113449","https://openalex.org/W4300818525"],"abstract_inverted_index":{"We":[0,29,71],"develop":[1],"a":[2,34,56],"stochastic":[3,25],"asymptotic":[4],"preserving":[5],"(s-AP)":[6],"scheme":[7,106],"for":[8,33],"the":[9,13,21,40,46,52,64,68,73,92,103,110,120,126],"Vlasov--Poisson--Fokker--Planck":[10],"system":[11,94],"in":[12,45,76,95,109],"high":[14,111],"field":[15,37,112],"regime":[16],"with":[17,38],"uncertainty":[18],"based":[19],"on":[20],"generalized":[22],"polynomial":[23],"chaos":[24],"Galerkin":[26],"framework":[27,74],"(gPC-SG).":[28],"first":[30],"prove":[31],"that,":[32],"given":[35,117],"electric":[36],"uncertainty,":[39],"regularity":[41],"of":[42,67,125],"initial":[43],"data":[44],"random":[47],"space":[48,97],"is":[49,107],"preserved":[50],"by":[51],"analytical":[53],"solution":[54],"at":[55],"later":[57],"time,":[58],"which":[59],"allows":[60],"us":[61],"to":[62,89,118],"establish":[63],"spectral":[65],"convergence":[66],"gPC-SG":[69],"method.":[70,128],"follow":[72],"developed":[75],"[S.":[77],"Jin":[78],"and":[79,99,122],"L.":[80],"Wang,":[81],"Acta":[82],"Math.":[83],"Sci.,":[84],"31":[85],"(2011),":[86],"pp.":[87],"2219--2232]":[88],"numerically":[90],"solve":[91],"resulting":[93],"one":[96],"dimension":[98],"show":[100],"formally":[101],"that":[102],"fully":[104],"discretized":[105],"s-AP":[108,123],"regime.":[113],"Numerical":[114],"examples":[115],"are":[116],"validate":[119],"accuracy":[121],"properties":[124],"proposed":[127]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-23T13:55:30.953635","created_date":"2025-10-10T00:00:00"}
