{"id":"https://openalex.org/W2125451251","doi":"https://doi.org/10.2478/v10006-007-0030-3","title":"Numerical Approximation of Self-Consistent Vlasov Models for Low-Frequency Electromagnetic Phenomena","display_name":"Numerical Approximation of Self-Consistent Vlasov Models for Low-Frequency Electromagnetic Phenomena","publication_year":2007,"publication_date":"2007-10-01","ids":{"openalex":"https://openalex.org/W2125451251","doi":"https://doi.org/10.2478/v10006-007-0030-3","mag":"2125451251"},"language":"en","primary_location":{"id":"doi:10.2478/v10006-007-0030-3","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0030-3","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0030-3","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.2478/v10006-007-0030-3","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002294097","display_name":"Nicolas Besse","orcid":"https://orcid.org/0000-0002-9983-3058"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I4210118362","display_name":"Institut de Recherche Math\u00e9matique Avanc\u00e9e","ror":"https://ror.org/02hwgty18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210118362","https://openalex.org/I4210141950","https://openalex.org/I68947357"]},{"id":"https://openalex.org/I4210147295","display_name":"Institut Jean Lamour","ror":"https://ror.org/05k1smh27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210128300","https://openalex.org/I4210147295","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Nicolas Besse","raw_affiliation_strings":["Institut de Recherche Mathmatique Avance, UMR 7501 CNRS/ULP 7 rue Ren Descartes, 67084 Strasbourg Cedex, France","Laboratoire de Physique des Milieux Ioniss et Applications & Institut de Mathmatiques Elie Cartan Universit Henri Poincar Nancy-I BP 239 54506 Vandoeuvre-ls-Nancy Cedex, France","IECN - Institut \u00c9lie Cartan de Nancy (Universit\u00e9 Henri Poincar\u00e9, Campus Scientifique, boulevard des Aiguillettes, 54000 Vandoeuvre-les-Nancy - France)","IJL - Institut Jean Lamour (Institut Jean Lamour - CNRS - Universit\u00e9 de Lorraine. Campus Artem 2 all\u00e9e Andr\u00e9 Guinier BP 50840 54011 Nancy Cedex - France)","CALVI - Scientific computation and visualization (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Recherche Mathmatique Avance, UMR 7501 CNRS/ULP 7 rue Ren Descartes, 67084 Strasbourg Cedex, France","institution_ids":["https://openalex.org/I4210118362","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire de Physique des Milieux Ioniss et Applications & Institut de Mathmatiques Elie Cartan Universit Henri Poincar Nancy-I BP 239 54506 Vandoeuvre-ls-Nancy Cedex, France","institution_ids":["https://openalex.org/I3017839442"]},{"raw_affiliation_string":"IECN - Institut \u00c9lie Cartan de Nancy (Universit\u00e9 Henri Poincar\u00e9, Campus Scientifique, boulevard des Aiguillettes, 54000 Vandoeuvre-les-Nancy - France)","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372"]},{"raw_affiliation_string":"IJL - Institut Jean Lamour (Institut Jean Lamour - CNRS - Universit\u00e9 de Lorraine. Campus Artem 2 all\u00e9e Andr\u00e9 Guinier BP 50840 54011 Nancy Cedex - France)","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210147295","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CALVI - Scientific computation and visualization (France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010896631","display_name":"Norbert J. Mauser","orcid":"https://orcid.org/0000-0001-9262-8943"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I4210118362","display_name":"Institut de Recherche Math\u00e9matique Avanc\u00e9e","ror":"https://ror.org/02hwgty18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210118362","https://openalex.org/I4210141950","https://openalex.org/I68947357"]},{"id":"https://openalex.org/I4210142651","display_name":"Wolfgang Pauli Institute","ror":"https://ror.org/048qkq105","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210142651"]}],"countries":["AT","FR"],"is_corresponding":false,"raw_author_name":"Norbert Mauser","raw_affiliation_strings":["Institut de Recherche Mathmatique Avance, UMR 7501 CNRS/ULP 7 rue Ren Descartes, 67084 Strasbourg Cedex, France","Laboratoire de Physique des Milieux Ioniss et Applications & Institut de Mathmatiques Elie Cartan Universit Henri Poincar Nancy-I BP 239 54506 Vandoeuvre-ls-Nancy Cedex, France","WPI - Wolfgang Pauli Institute (Wolfgang Pauli Institute c/o Fak. f. Math. Univ. Wien Nordbergstr. 15 A 1090 Wien - Austria)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Recherche Mathmatique Avance, UMR 7501 CNRS/ULP 7 rue Ren Descartes, 67084 Strasbourg Cedex, France","institution_ids":["https://openalex.org/I4210118362","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire de Physique des Milieux Ioniss et Applications & Institut de Mathmatiques Elie Cartan Universit Henri Poincar Nancy-I BP 239 54506 Vandoeuvre-ls-Nancy Cedex, France","institution_ids":["https://openalex.org/I3017839442"]},{"raw_affiliation_string":"WPI - Wolfgang Pauli Institute (Wolfgang Pauli Institute c/o Fak. f. Math. Univ. Wien Nordbergstr. 15 A 1090 Wien - Austria)","institution_ids":["https://openalex.org/I4210142651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076917610","display_name":"\u00c9ric Sonnendr\u00fccker","orcid":"https://orcid.org/0000-0002-8340-7230"},"institutions":[{"id":"https://openalex.org/I4210118362","display_name":"Institut de Recherche Math\u00e9matique Avanc\u00e9e","ror":"https://ror.org/02hwgty18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210118362","https://openalex.org/I4210141950","https://openalex.org/I68947357"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eric Sonnendr\u00fccker","raw_affiliation_strings":["IRMA - Institut de Recherche Math\u00e9matique Avanc\u00e9e (7 rue Ren\u00e9-Descartes, 67084 Strasbourg Cedex, France - France)","CALVI - Scientific computation and visualization (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRMA - Institut de Recherche Math\u00e9matique Avanc\u00e9e (7 rue Ren\u00e9-Descartes, 67084 Strasbourg Cedex, France - France)","institution_ids":["https://openalex.org/I4210118362"]},{"raw_affiliation_string":"CALVI - Scientific computation and visualization (France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002294097"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I3017839442","https://openalex.org/I4210118362","https://openalex.org/I4210147295","https://openalex.org/I90183372"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":2.264,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.86846582,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"17","issue":"3","first_page":"361","last_page":"374"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":1.0,"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/T10384","display_name":"Laser-Plasma Interactions and Diagnostics","score":0.9958000183105469,"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/T14363","display_name":"Optical properties and cooling technologies in crystalline materials","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/landau-damping","display_name":"Landau damping","score":0.7532790303230286},{"id":"https://openalex.org/keywords/vlasov-equation","display_name":"Vlasov equation","score":0.7508599162101746},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6117184162139893},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5580572485923767},{"id":"https://openalex.org/keywords/distribution-function","display_name":"Distribution function","score":0.46540576219558716},{"id":"https://openalex.org/keywords/electromagnetic-field","display_name":"Electromagnetic field","score":0.45359984040260315},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.43732500076293945},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4347636103630066},{"id":"https://openalex.org/keywords/electromagnetic-radiation","display_name":"Electromagnetic radiation","score":0.4180227816104889},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.40014901757240295},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3876500427722931},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35776910185813904},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.3088999390602112},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.22992166876792908}],"concepts":[{"id":"https://openalex.org/C73155160","wikidata":"https://www.wikidata.org/wiki/Q675721","display_name":"Landau damping","level":3,"score":0.7532790303230286},{"id":"https://openalex.org/C186175660","wikidata":"https://www.wikidata.org/wiki/Q2323892","display_name":"Vlasov equation","level":3,"score":0.7508599162101746},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6117184162139893},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5580572485923767},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.46540576219558716},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.45359984040260315},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.43732500076293945},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4347636103630066},{"id":"https://openalex.org/C149773537","wikidata":"https://www.wikidata.org/wiki/Q12969754","display_name":"Electromagnetic radiation","level":2,"score":0.4180227816104889},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.40014901757240295},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3876500427722931},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35776910185813904},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.3088999390602112},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.22992166876792908}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.2478/v10006-007-0030-3","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0030-3","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0030-3","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:info:fedora/oai:univie.ac.at:o:245557","is_oa":true,"landing_page_url":"https://phaidra.univie.ac.at/o:245557","pdf_url":null,"source":{"id":"https://openalex.org/S4306401993","display_name":"Phaidra (Universit\u00e4t Wien)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129774422","host_organization_name":"University of Vienna","host_organization_lineage":["https://openalex.org/I129774422"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Applied Mathematics and Computer Science 17(3), 361-374 (2007-02-01)","raw_type":"article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.390.3073","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.390.3073","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://matwbn.icm.edu.pl/ksiazki/amc/amc17/amc1737.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00594863v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00594863","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Applied Mathematics and Computer Science, 2007, 17 (3), pp.361-374. ⟨10.2478/v10006-007-0030-3⟩","raw_type":"Journal articles"},{"id":"pmh:oai:zbc.uz.zgora.pl:78660","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=78660","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=papers&issue=29","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.2478/v10006-007-0030-3","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-007-0030-3","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-007-0030-3","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1899063363","display_name":null,"funder_award_id":"HPRN-CT-2002-00282","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2125451251.pdf","grobid_xml":"https://content.openalex.org/works/W2125451251.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1967788499","https://openalex.org/W1973077201","https://openalex.org/W1980011357","https://openalex.org/W1985625030","https://openalex.org/W1993998183","https://openalex.org/W1997251924","https://openalex.org/W1998725779","https://openalex.org/W2004511551","https://openalex.org/W2009025828","https://openalex.org/W2011110219","https://openalex.org/W2012045685","https://openalex.org/W2024272706","https://openalex.org/W2032888169","https://openalex.org/W2034857587","https://openalex.org/W2037794021","https://openalex.org/W2038388182","https://openalex.org/W2041606179","https://openalex.org/W2056887844","https://openalex.org/W2082797175","https://openalex.org/W2083382031","https://openalex.org/W2086617698","https://openalex.org/W2088015249","https://openalex.org/W2106632632","https://openalex.org/W2127549746","https://openalex.org/W2128471186","https://openalex.org/W2494779131","https://openalex.org/W3101408510","https://openalex.org/W6648861149"],"related_works":["https://openalex.org/W2075547333","https://openalex.org/W2598053206","https://openalex.org/W4299601876","https://openalex.org/W2362428579","https://openalex.org/W1991782243","https://openalex.org/W1998143533","https://openalex.org/W2244360757","https://openalex.org/W4238600521","https://openalex.org/W2153407007","https://openalex.org/W2029968697"],"abstract_inverted_index":{"Numerical":[0],"Approximation":[1],"of":[2,26,34,38],"Self-Consistent":[3],"Vlasov":[4],"Models":[5],"for":[6,92],"Low-Frequency":[7],"Electromagnetic":[8],"Phenomena":[9],"We":[10,72,85],"present":[11,109],"a":[12,74,87,103],"new":[13],"numerical":[14,60,75,129],"method":[15],"to":[16,62],"solve":[17],"the":[18,27,31,35,59,65,69,93,97,115,121],"Vlasov-Darwin":[19],"and":[20,48,81,119,134],"Vlasov-Poisswell":[21],"systems":[22,41],"which":[23,55],"are":[24,52],"approximations":[25],"Vlasov-Maxwell":[28],"equation":[29],"in":[30,46,56,136],"asymptotic":[32],"limit":[33],"infinite":[36],"speed":[37],"light.":[39],"These":[40],"model":[42],"low-frequency":[43],"electromagnetic":[44,98,122],"phenomena":[45],"plasmas,":[47],"thus":[49],"\"light":[50],"waves\"":[51],"somewhat":[53],"supressed,":[54],"turn":[57],"allows":[58],"discretization":[61],"dispense":[63],"with":[64,138],"Courant-Friedrichs-Lewy":[66],"condition":[67],"on":[68,78,102],"time":[70,82],"step.":[71],"construct":[73],"scheme":[76,130],"based":[77],"semi-Lagrangian":[79],"methods":[80],"splitting":[83],"techniques.":[84],"develop":[86],"four-dimensional":[88],"phase":[89],"space":[90],"algorithm":[91],"distribution":[94],"function":[95],"while":[96],"field":[99],"is":[100,135],"solved":[101],"two-dimensional":[104],"Cartesian":[105],"grid.":[106],"Finally,":[107],"we":[108],"two":[110],"nontrivial":[111],"test":[112],"cases:":[113],"(a)":[114],"wave":[116],"Landau":[117],"damping":[118],"(b)":[120],"beam-plasma":[123],"instability.":[124],"For":[125],"these":[126],"cases":[127],"our":[128],"works":[131],"very":[132],"well":[133],"agreement":[137],"analytic":[139],"kinetic":[140],"theory.":[141]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-04T08:30:34.212998","created_date":"2025-10-10T00:00:00"}