{"id":"https://openalex.org/W2781809656","doi":"https://doi.org/10.1137/18m116383x","title":"A Low-Rank Projector-Splitting Integrator for the Vlasov--Poisson Equation","display_name":"A Low-Rank Projector-Splitting Integrator for the Vlasov--Poisson Equation","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2781809656","doi":"https://doi.org/10.1137/18m116383x","mag":"2781809656"},"language":"en","primary_location":{"id":"doi:10.1137/18m116383x","doi":"https://doi.org/10.1137/18m116383x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m116383x","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,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1"],"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"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1801.01103","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019445901","display_name":"Lukas  Daniel Einkemmer","orcid":"https://orcid.org/0000-0002-8798-2304","observed_orcids":["https://orcid.org/0000-0002-8798-2304"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lukas Einkemmer","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5065792988","display_name":"Christian Lubich","orcid":"https://orcid.org/0000-0003-0105-4927","observed_orcids":["https://orcid.org/0000-0003-0105-4927"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christian Lubich","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.1078,"has_fulltext":true,"cited_by_count":115,"citation_normalized_percentile":{"value":0.97059671,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":100},"biblio":{"volume":"40","issue":"5","first_page":"B1330","last_page":"B1360"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.5396000146865845,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.5396000146865845,"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"}},{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.36500000953674316,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.020600000396370888,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/vlasov-poisson-system","display_name":"Vlasov-Poisson system","score":0.9959999918937683},{"id":"https://openalex.org/keywords/dynamical-low-rank-approximation","display_name":"dynamical low-rank approximation","score":0.9110000133514404},{"id":"https://openalex.org/keywords/tangent-space-projection","display_name":"tangent space projection","score":0.8619999885559082},{"id":"https://openalex.org/keywords/kinetic-equations","display_name":"kinetic equations","score":0.7599999904632568},{"id":"https://openalex.org/keywords/plasma-physics","display_name":"plasma physics","score":0.8650000095367432},{"id":"https://openalex.org/keywords/two-stream-instability","display_name":"two-stream instability","score":1.0},{"id":"https://openalex.org/keywords/advection-equation","display_name":"advection equation","score":0.8769999742507935},{"id":"https://openalex.org/keywords/semi-lagrangian-method","display_name":"semi-Lagrangian method","score":0.8090000152587891},{"id":"https://openalex.org/keywords/spectral-methods","display_name":"spectral methods","score":0.597000002861023},{"id":"https://openalex.org/keywords/computational-cost-reduction","display_name":"computational complexity reduction","score":0.4560000002384186}],"concepts":[{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.6521488428115845},{"id":"https://openalex.org/C186175660","wikidata":"https://www.wikidata.org/wiki/Q2323892","display_name":"Vlasov equation","level":3,"score":0.5990839004516602},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5673774480819702},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5436900854110718},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5404106378555298},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48503321409225464},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.4809964597225189},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4162030816078186},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3671945333480835},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.1362062692642212},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08375623822212219},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/18m116383x","doi":"https://doi.org/10.1137/18m116383x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m116383x","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,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1"],"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"},{"id":"pmh:oai:arXiv.org:1801.01103","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1801.01103","pdf_url":"https://arxiv.org/pdf/1801.01103","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2781809656","doi":null,"is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1801.01103","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1801.01103","doi":"https://doi.org/10.48550/arxiv.1801.01103","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1801.01103","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1801.01103","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1801.01103","pdf_url":"https://arxiv.org/pdf/1801.01103","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2781809656.pdf","grobid_xml":"https://content.openalex.org/works/W2781809656.grobid-xml"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W143414773","https://openalex.org/W1515678755","https://openalex.org/W1580989833","https://openalex.org/W1945958945","https://openalex.org/W1974099477","https://openalex.org/W1982916934","https://openalex.org/W1988996307","https://openalex.org/W1991546227","https://openalex.org/W1997251924","https://openalex.org/W2002633056","https://openalex.org/W2014645774","https://openalex.org/W2018814050","https://openalex.org/W2020099665","https://openalex.org/W2022113824","https://openalex.org/W2026836732","https://openalex.org/W2031008300","https://openalex.org/W2034857587","https://openalex.org/W2048338165","https://openalex.org/W2049887960","https://openalex.org/W2051456448","https://openalex.org/W2053370228","https://openalex.org/W2059358589","https://openalex.org/W2060331029","https://openalex.org/W2062793050","https://openalex.org/W2067067855","https://openalex.org/W2086617698","https://openalex.org/W2096434207","https://openalex.org/W2102688209","https://openalex.org/W2115248765","https://openalex.org/W2115402677","https://openalex.org/W2118115288","https://openalex.org/W2120208332","https://openalex.org/W2137040033","https://openalex.org/W2144965994","https://openalex.org/W2152279941","https://openalex.org/W2290208202","https://openalex.org/W2294357336","https://openalex.org/W2472277302","https://openalex.org/W2483535204","https://openalex.org/W2507690719","https://openalex.org/W2592358629","https://openalex.org/W2593866072","https://openalex.org/W2596729300","https://openalex.org/W2617543088","https://openalex.org/W2617568079","https://openalex.org/W2741757883","https://openalex.org/W2752783311","https://openalex.org/W2793973608","https://openalex.org/W2963412993","https://openalex.org/W3104980255","https://openalex.org/W4211077197"],"related_works":["https://openalex.org/W4414992266","https://openalex.org/W3208319344","https://openalex.org/W4224944754","https://openalex.org/W4394063599","https://openalex.org/W2840262670","https://openalex.org/W2982333942","https://openalex.org/W2795475040","https://openalex.org/W3127986071","https://openalex.org/W4226438115","https://openalex.org/W1623015970"],"abstract_inverted_index":{"Many":[0],"problems":[1],"encountered":[2],"in":[3,15,130,136,220],"plasma":[4,236],"physics":[5],"require":[6],"a":[7,42,53,65,78,84,103,156,161,173,230,235],"description":[8],"by":[9,64,73,89,209],"kinetic":[10],"equations,":[11,183],"which":[12,97],"are":[13],"posed":[14],"an":[16],"up":[17],"to":[18,57,77,114,151,172,196,255],"six-dimensional":[19],"phase":[20,27],"space.":[21],"A":[22],"direct":[23],"discretization":[24],"of":[25,45,80,118,143,146,175,180,187,190,202,243],"this":[26,91,244],"space,":[28],"often":[29],"called":[30],"the":[31,48,58,75,94,107,126,131,137,141,152,165,185,197,240,250,258],"Eulerian":[32],"approach,":[33],"has":[34],"many":[35],"advantages":[36],"but":[37],"is":[38,71,99,149,193,253],"extremely":[39],"expensive":[40],"from":[41,96],"computational":[43,260],"point":[44],"view.":[46],"In":[47],"present":[49],"paper,":[50],"we":[51],"propose":[52],"dynamical":[54,158],"low-rank":[55,81,159],"approximation":[56,70],"Vlasov--Poisson":[59,112,166],"equation,":[60],"with":[61],"time":[62,104,127,162],"integration":[63],"particular":[66],"splitting":[67,90],"method.":[68],"This":[69,101],"derived":[72],"constraining":[74],"dynamics":[76],"manifold":[79],"functions":[82],"via":[83],"tangent":[85],"space":[86],"projection":[87,92],"and":[88,134,222,233,247],"into":[93],"subprojections":[95],"it":[98],"built.":[100],"reduces":[102],"step":[105,163],"for":[106,164,225,229,234],"six-":[108],"(or":[109,120,177],"four-)":[110],"dimensional":[111,122],"equation":[113,167],"solving":[115],"two":[116,221],"systems":[117,179,201],"three-":[119],"two-)":[121],"advection":[123,147,182,191,203],"equations":[124,148,192,204],"over":[125],"step,":[128],"once":[129,135],"position":[132],"variables":[133],"velocity":[138],"variables,":[139],"where":[140,184],"size":[142,186],"each":[144,188],"system":[145,189],"equal":[150,195],"chosen":[153],"rank.":[154,198],"By":[155],"hierarchical":[157],"approximation,":[160],"can":[168,205],"be":[169,207],"further":[170],"reduced":[171],"set":[174],"six":[176],"four)":[178],"one-dimensional":[181],"still":[194],"The":[199],"resulting":[200],"then":[206],"solved":[208],"standard":[210],"techniques":[211],"such":[212],"as":[213],"semi-Lagrangian":[214],"or":[215],"spectral":[216],"methods.":[217],"Numerical":[218],"simulations":[219],"four":[223],"dimensions":[224],"linear":[226],"Landau":[227],"damping,":[228],"two-stream":[231],"instability,":[232],"echo":[237],"problem":[238],"highlight":[239],"favorable":[241],"behavior":[242],"numerical":[245],"method":[246],"show":[248],"that":[249],"proposed":[251],"algorithm":[252],"able":[254],"drastically":[256],"reduce":[257],"required":[259],"effort.":[261]},"counts_by_year":[{"year":2026,"cited_by_count":31},{"year":2025,"cited_by_count":19},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2018-01-12T00:00:00"}
