{"id":"https://openalex.org/W2953962895","doi":"https://doi.org/10.1007/s11075-019-00739-1","title":"Energy-preserving algorithm for gyrocenter dynamics of charged particles","display_name":"Energy-preserving algorithm for gyrocenter dynamics of charged particles","publication_year":2019,"publication_date":"2019-06-27","ids":{"openalex":"https://openalex.org/W2953962895","doi":"https://doi.org/10.1007/s11075-019-00739-1","mag":"2953962895"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-019-00739-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00739-1","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","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/A5101642162","display_name":"Ruili Zhang","orcid":"https://orcid.org/0000-0001-9710-6773"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruili Zhang","raw_affiliation_strings":["School of Science, Beijing Jiaotong University, Beijing, 100044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Beijing Jiaotong University, Beijing, 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100414623","display_name":"Jian Liu","orcid":"https://orcid.org/0000-0001-7484-401X"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Liu","raw_affiliation_strings":["School of Physics, University of Science and Technology of China, Hefei, Anhui, 230026, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics, University of Science and Technology of China, Hefei, Anhui, 230026, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007354836","display_name":"Hong Qin","orcid":"https://orcid.org/0000-0003-0304-3762"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]},{"id":"https://openalex.org/I2799567181","display_name":"Princeton Plasma Physics Laboratory","ror":"https://ror.org/03vn1ts68","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I20089843","https://openalex.org/I2799567181","https://openalex.org/I39565521"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Hong Qin","raw_affiliation_strings":["Plasma Physics Laboratory, Princeton University, Princeton, NJ, 08543, USA","School of Physics, University of Science and Technology of China, Hefei, Anhui, 230026, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Plasma Physics Laboratory, Princeton University, Princeton, NJ, 08543, USA","institution_ids":["https://openalex.org/I20089843","https://openalex.org/I2799567181"]},{"raw_affiliation_string":"School of Physics, University of Science and Technology of China, Hefei, Anhui, 230026, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111634036","display_name":"Yifa Tang","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yifa Tang","raw_affiliation_strings":["LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5100414623"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.4578,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.80288077,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"81","issue":"4","first_page":"1521","last_page":"1530"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9843999743461609,"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/symplectic-geometry","display_name":"Symplectic geometry","score":0.9193639755249023},{"id":"https://openalex.org/keywords/hamiltonian-mechanics","display_name":"Hamiltonian mechanics","score":0.6646918654441833},{"id":"https://openalex.org/keywords/symplectic-integrator","display_name":"Symplectic integrator","score":0.6476454138755798},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6309536695480347},{"id":"https://openalex.org/keywords/variational-integrator","display_name":"Variational integrator","score":0.610206663608551},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.5568684339523315},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5494092702865601},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5295307040214539},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5202063918113708},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46831995248794556},{"id":"https://openalex.org/keywords/symplectic-representation","display_name":"Symplectic representation","score":0.45884713530540466},{"id":"https://openalex.org/keywords/symplectomorphism","display_name":"Symplectomorphism","score":0.4306755065917969},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.39084702730178833},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3532933294773102},{"id":"https://openalex.org/keywords/symplectic-manifold","display_name":"Symplectic manifold","score":0.31221234798431396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29265809059143066},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24020710587501526},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.19653946161270142},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.1747722625732422},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17193642258644104},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.16043898463249207},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07215511798858643}],"concepts":[{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.9193639755249023},{"id":"https://openalex.org/C136864674","wikidata":"https://www.wikidata.org/wiki/Q477921","display_name":"Hamiltonian mechanics","level":3,"score":0.6646918654441833},{"id":"https://openalex.org/C207646825","wikidata":"https://www.wikidata.org/wiki/Q7661847","display_name":"Symplectic integrator","level":4,"score":0.6476454138755798},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6309536695480347},{"id":"https://openalex.org/C52154503","wikidata":"https://www.wikidata.org/wiki/Q7915797","display_name":"Variational integrator","level":4,"score":0.610206663608551},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.5568684339523315},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5494092702865601},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5295307040214539},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5202063918113708},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46831995248794556},{"id":"https://openalex.org/C104586451","wikidata":"https://www.wikidata.org/wiki/Q771008","display_name":"Symplectic representation","level":4,"score":0.45884713530540466},{"id":"https://openalex.org/C135661100","wikidata":"https://www.wikidata.org/wiki/Q1049064","display_name":"Symplectomorphism","level":3,"score":0.4306755065917969},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.39084702730178833},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3532933294773102},{"id":"https://openalex.org/C130190758","wikidata":"https://www.wikidata.org/wiki/Q1064500","display_name":"Symplectic manifold","level":3,"score":0.31221234798431396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29265809059143066},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24020710587501526},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.19653946161270142},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.1747722625732422},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17193642258644104},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.16043898463249207},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07215511798858643},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-019-00739-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00739-1","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1542429742","display_name":"\u7b49\u79bb\u5b50\u4f53\u7269\u7406\u4e2d\u7684\u8f9b\u7b97\u6cd5\u4e0e\u5e73\u5747\u65b9\u6cd5","funder_award_id":"11771438","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1608101706","display_name":null,"funder_award_id":"11505186","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4309200793","display_name":null,"funder_award_id":"11575185","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4592058477","display_name":null,"funder_award_id":"11575186","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W402518760","https://openalex.org/W587555435","https://openalex.org/W1544770838","https://openalex.org/W1965357780","https://openalex.org/W1969824994","https://openalex.org/W1986490616","https://openalex.org/W1998351053","https://openalex.org/W1999536285","https://openalex.org/W2003706036","https://openalex.org/W2032405498","https://openalex.org/W2042900491","https://openalex.org/W2045621460","https://openalex.org/W2061786862","https://openalex.org/W2085347462","https://openalex.org/W2091760807","https://openalex.org/W2092546684","https://openalex.org/W2096760851","https://openalex.org/W2100358531","https://openalex.org/W2102950467","https://openalex.org/W2112205617","https://openalex.org/W2121954553","https://openalex.org/W2129191879","https://openalex.org/W2341074930","https://openalex.org/W2346635585","https://openalex.org/W2413810798","https://openalex.org/W2562896987","https://openalex.org/W2761557119","https://openalex.org/W3102143011","https://openalex.org/W4210947993","https://openalex.org/W6601145284","https://openalex.org/W6607041973"],"related_works":["https://openalex.org/W101992021","https://openalex.org/W4232459995","https://openalex.org/W4313348927","https://openalex.org/W4232477694","https://openalex.org/W2952719454","https://openalex.org/W592076390","https://openalex.org/W1799801613","https://openalex.org/W6560039","https://openalex.org/W2952715908","https://openalex.org/W2120675071"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}