{"id":"https://openalex.org/W4416550919","doi":"https://doi.org/10.48550/arxiv.2505.00288","title":"Nystr\u00f6m Type Exponential Integrators for Strongly Magnetized Charged Particle Dynamics","display_name":"Nystr\u00f6m Type Exponential Integrators for Strongly Magnetized Charged Particle Dynamics","publication_year":2025,"publication_date":"2025-05-01","ids":{"openalex":"https://openalex.org/W4416550919","doi":"https://doi.org/10.48550/arxiv.2505.00288"},"language":"en","primary_location":{"id":"doi:10.48550/arxiv.2505.00288","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2505.00288","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2505.00288","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101899829","display_name":"Tri P. Nguyen","orcid":"https://orcid.org/0009-0001-8697-5292"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nguyen, Tri P.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070665570","display_name":"I. Joseph","orcid":"https://orcid.org/0000-0002-5540-0840"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Joseph, Ilon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5018329659","display_name":"Mayya Tokman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tokman, Mayya","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":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9318000078201294,"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 methods for differential equations","score":0.9318000078201294,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.01140000019222498,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.003100000089034438,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/exponential-integrator","display_name":"Exponential integrator","score":0.7811999917030334},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6685000061988831},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.5527999997138977},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4839000105857849},{"id":"https://openalex.org/keywords/charged-particle","display_name":"Charged particle","score":0.4490000009536743},{"id":"https://openalex.org/keywords/equations-of-motion","display_name":"Equations of motion","score":0.4375},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4036000072956085},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.39340001344680786},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.38429999351501465}],"concepts":[{"id":"https://openalex.org/C122700484","wikidata":"https://www.wikidata.org/wiki/Q16148845","display_name":"Exponential integrator","level":5,"score":0.7811999917030334},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6685000061988831},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6355000138282776},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.5527999997138977},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5203999876976013},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4839000105857849},{"id":"https://openalex.org/C35048267","wikidata":"https://www.wikidata.org/wiki/Q587553","display_name":"Charged particle","level":3,"score":0.4490000009536743},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.4375},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.421099990606308},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4036000072956085},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.39340001344680786},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.38429999351501465},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.35359999537467957},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.34459999203681946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33570000529289246},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.3337000012397766},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.328000009059906},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.31790000200271606},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.31450000405311584},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.30630001425743103},{"id":"https://openalex.org/C52154503","wikidata":"https://www.wikidata.org/wiki/Q7915797","display_name":"Variational integrator","level":4,"score":0.30239999294281006},{"id":"https://openalex.org/C49016629","wikidata":"https://www.wikidata.org/wiki/Q3075235","display_name":"Double exponential function","level":3,"score":0.29429998993873596},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2930999994277954},{"id":"https://openalex.org/C15227799","wikidata":"https://www.wikidata.org/wiki/Q6731684","display_name":"Magnetosphere particle motion","level":3,"score":0.2727999985218048},{"id":"https://openalex.org/C91748784","wikidata":"https://www.wikidata.org/wiki/Q11406","display_name":"Electromagnetism","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.26420000195503235},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.2524999976158142},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.25209999084472656}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2505.00288","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2505.00288","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2505.00288","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2505.00288","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Solving":[0],"for":[1,22,119],"charged":[2],"particle":[3,10,122],"motion":[4,102],"in":[5,136],"electromagnetic":[6],"fields":[7],"(i.e.":[8],"the":[9,32,42,86,98,129,140],"pushing":[11,123],"problem)":[12],"is":[13,28,34,64],"a":[14,66,104],"computationally":[15],"intensive":[16],"component":[17],"of":[18,45,68,101],"particle-in-cell":[19],"(PIC)":[20],"methods":[21,69],"plasma":[23,33],"physics":[24],"simulations.":[25],"This":[26,83],"task":[27],"especially":[29],"challenging":[30],"when":[31],"strongly":[35,120],"magnetized":[36,121],"due":[37],"numerical":[38],"stiffness":[39],"arising":[40],"from":[41],"wide":[43],"range":[44],"time":[46],"scales":[47],"between":[48],"highly":[49],"oscillatory":[50],"gyromotion":[51],"and":[52,80,114],"long":[53],"term":[54],"macroscopic":[55],"behavior.":[56],"A":[57],"promising":[58],"approach":[59],"to":[60,91],"solve":[61,76],"these":[62],"problems":[63,78],"by":[65],"class":[67],"known":[70],"as":[71,103],"exponential":[72,88,94,117,131,142],"integrators":[73,95,118],"that":[74,96,128],"can":[75],"linear":[77],"exactly":[79],"are":[81],"A-stable.":[82],"work":[84],"extends":[85],"standard":[87,141],"integration":[89],"framework":[90],"derive":[92,112],"Nystr\u00f6m-type":[93,116,130],"integrates":[97],"Newtonian":[99],"equations":[100],"second-order":[105,113],"differential":[106],"equation":[107],"directly.":[108],"In":[109],"particular,":[110],"we":[111],"third-order":[115],"problems.":[124],"Numerical":[125],"experiments":[126],"show":[127],"integators":[132],"exhibit":[133],"significant":[134],"improvement":[135],"computation":[137],"speed":[138],"over":[139],"integrators.":[143]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2025-10-10T00:00:00"}
