{"id":"https://openalex.org/W4398775687","doi":"https://doi.org/10.1007/s00211-024-01416-9","title":"Drift approximation by the modified Boris algorithm of charged-particle dynamics in toroidal geometry","display_name":"Drift approximation by the modified Boris algorithm of charged-particle dynamics in toroidal geometry","publication_year":2024,"publication_date":"2024-05-24","ids":{"openalex":"https://openalex.org/W4398775687","doi":"https://doi.org/10.1007/s00211-024-01416-9"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-024-01416-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-024-01416-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-024-01416-9.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00211-024-01416-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108695323","display_name":"Yanyan Shi","orcid":"https://orcid.org/0000-0002-2470-792X"},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Yanyan Shi","raw_affiliation_strings":["Mathematisches Institut, University T\u00fcbingen, 72076, T\u00fcbingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, University T\u00fcbingen, 72076, T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I8087733"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108695323"],"corresponding_institution_ids":["https://openalex.org/I8087733"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":1.1031,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72056324,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"156","issue":"3","first_page":"1197","last_page":"1217"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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":0.9998000264167786,"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/T10346","display_name":"Magnetic confinement fusion research","score":0.9991000294685364,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9943000078201294,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/toroid","display_name":"Toroid","score":0.7728868722915649},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5230204463005066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5184759497642517},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.5053218007087708},{"id":"https://openalex.org/keywords/charged-particle","display_name":"Charged particle","score":0.4672425091266632},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.45591601729393005},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4547034204006195},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.42054498195648193},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.41515445709228516},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4102601110935211},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.38799917697906494},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3766036629676819},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.14014017581939697},{"id":"https://openalex.org/keywords/ion","display_name":"Ion","score":0.12754464149475098},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07798293232917786}],"concepts":[{"id":"https://openalex.org/C15001198","wikidata":"https://www.wikidata.org/wiki/Q3241394","display_name":"Toroid","level":3,"score":0.7728868722915649},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5230204463005066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5184759497642517},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.5053218007087708},{"id":"https://openalex.org/C35048267","wikidata":"https://www.wikidata.org/wiki/Q587553","display_name":"Charged particle","level":3,"score":0.4672425091266632},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.45591601729393005},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4547034204006195},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.42054498195648193},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.41515445709228516},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4102601110935211},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.38799917697906494},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3766036629676819},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.14014017581939697},{"id":"https://openalex.org/C145148216","wikidata":"https://www.wikidata.org/wiki/Q36496","display_name":"Ion","level":2,"score":0.12754464149475098},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07798293232917786},{"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:10.1007/s00211-024-01416-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-024-01416-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-024-01416-9.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00211-024-01416-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-024-01416-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-024-01416-9.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321112","display_name":"Eberhard Karls Universit\u00e4t T\u00fcbingen","ror":"https://ror.org/03a1kwz48"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4398775687.pdf"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W2019374551","https://openalex.org/W2588796255","https://openalex.org/W2936154014","https://openalex.org/W2947056241","https://openalex.org/W2998688384","https://openalex.org/W3006343344","https://openalex.org/W3019928656","https://openalex.org/W3033324167","https://openalex.org/W3046199853","https://openalex.org/W3185220784","https://openalex.org/W4246652625","https://openalex.org/W4299991219","https://openalex.org/W4319170660"],"related_works":["https://openalex.org/W2006894502","https://openalex.org/W140170702","https://openalex.org/W2020453143","https://openalex.org/W2116276212","https://openalex.org/W1976117128","https://openalex.org/W2098712923","https://openalex.org/W2944828961","https://openalex.org/W4300483980","https://openalex.org/W2000256169","https://openalex.org/W1974742289"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4],"study":[5],"the":[6,25,30,35,44,48,64],"dynamics":[7],"of":[8,24,34,47],"charged":[9],"particles":[10],"under":[11],"a":[12],"strong":[13],"magnetic":[14],"field":[15],"in":[16,38],"toroidal":[17,39],"axi-symmetric":[18],"geometry.":[19],"Using":[20],"modulated":[21],"Fourier":[22],"expansions":[23],"exact":[26,36],"and":[27,43],"numerical":[28],"solutions,":[29],"long-term":[31],"drift":[32],"motion":[33],"solution":[37],"geometry":[40],"is":[41,56],"derived,":[42],"error":[45],"analysis":[46],"large-stepsize":[49],"modified":[50],"Boris":[51],"algorithm":[52],"over":[53],"long":[54],"time":[55],"provided.":[57],"Numerical":[58],"experiments":[59],"are":[60],"conducted":[61],"to":[62],"illustrate":[63],"theoretical":[65],"results.":[66]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
