Vador swMATH ID: 6987 Software Authors: Francis Filbet; E. Sonnendrücker Description: Vlasov Approximation by a Direct and Object-oriented Resolution. The Vlasov equation describes the evolution of a system of particles under the effects of self-consistent electro magnetic fields. The unknown f(t,x,v), depending on the time t, the position x, and the velocity v, represents the distribution function of particles (electrons, ions,...) in phase space. This model can be used for the study of beam propagation or of a collisionless plasma. Homepage: http://www.univ-orleans.fr/mapmo/membres/filbet/index_vad.html Keywords: Vlasov Approximation; plume Related Software: GYSELA; sldg; SHASTA; Matlab; RODAS; WENO; GADGET; SUNDIALS; FreeFem++; Pegasus; CYLGYR; QUALIMUWABA; iPIC3D; SpectralPlasmaSolver; WARP; SeLaLib; Chombo; RAMSES; vlasov; HE-E1GODF Cited in: 148 Documents Further Publications: http://www.univ-orleans.fr/mapmo/membres/filbet/index_vad.html all top 5 Cited by 241 Authors 19 Sonnendrücker, Eric 15 Crouseilles, Nicolas 15 Qiu, Jingmei 13 Filbet, Francis 10 Christlieb, Andrew J. 9 Einkemmer, Lukas 7 Cai, Xiaofeng 7 Mehrenberger, Michel 5 Carrillo de la Plata, José Antonio 5 Guo, Wei 5 Latu, Guillaume 5 Qiu, Jianxian 5 Russo, Giovanni 4 Cheng, Yingda 4 Colella, Phillip 4 Ostermann, Alexander 4 Shu, Chi-Wang 3 Banks, Jeffrey W. 3 Bostan, Mihai 3 Campos Pinto, Martin 3 Goudon, Thierry 3 Hirstoaga, Sever A. 3 Lubich, Christian 3 Shumlak, Uri 3 Vecil, Francesco 3 Xiong, Tao 3 Zhong, Xinghui 2 Arber, T. D. 2 Assous, Franck 2 Bessemoulin-Chatard, Marianne 2 Boscarino, Sebastiano 2 Carpio, Ana 2 Cho, Seung-Yeon 2 Degond, Pierre 2 Després, Bruno 2 Eliasson, Bengt 2 Fatone, Lorella 2 Frénod, Emmanuel 2 Funaro, Daniele 2 Furman, Yevgeni 2 Gutnic, Michaël 2 Lemou, Mohammed 2 Manzini, Gianmarco 2 Méhats, Florian 2 Mouton, Alexandre 2 Mustapha, Brahim 2 Nolen, Jerry 2 Respaud, Thomas 2 Rodrigues, Luis Miguel 2 Steiner, Christophe 2 Vogman, G. V. 2 Wang, Yanli 2 Xu, Jin 2 Yang, Chang 2 Yun, Seok-Bae 2 Zheng, Nanyi 1 Abel, Tom 1 Abiteboul, J. 1 Acebrón, Juan A. 1 Adler, James H. 1 Afeyan, B. B. 1 Amano, Takanobu 1 Arienti, Marco 1 Arrighi, William J. 1 Asadzadeh, Mohammad Sina 1 Ayuso de Dios, Blanca 1 Ayuso, Blanca 1 Back, Aurore 1 Barsamian, Yann 1 Belaouar, Radoin 1 Berger, Richard 1 Berger, Roger L. 1 Bernier, Joackim 1 Bertrand, Pierre 1 Besse, Christophe 1 Besse, Nicolas 1 Bettencourt, Matthew T. 1 Bonilla, Luis Lopez 1 Boyd, Iain D. 1 Brunner, Stephan 1 Bu, Sunyoung 1 Büchner, Jörg 1 Bussmann, Michael 1 Cai, Zhenning 1 Caliari, Marco 1 Cao, Yong 1 Carretero, Manuel 1 Cassini, Fabio 1 Causley, Matthew F. 1 Cebrián, Elena 1 Chacón, Luis 1 Chan, Wai Hong Ronald 1 Chang, Ruimeng 1 Chapman, T. D. 1 Chapman, Thomas 1 Charles, Frédérique 1 Chen, Jiajie 1 Cheng, Ronghua 1 Chiabó, L. 1 Colombi, Stéphane ...and 141 more Authors all top 5 Cited in 35 Serials 60 Journal of Computational Physics 11 SIAM Journal on Scientific Computing 6 Computer Physics Communications 5 Journal of Scientific Computing 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 5 Communications in Nonlinear Science and Numerical Simulation 5 Communications in Computational Physics 5 Communications on Applied Mathematics and Computation 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 3 Computers & Mathematics with Applications 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Discrete and Continuous Dynamical Systems. 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Series B 1 Computational Methods in Applied Mathematics 1 Oberwolfach Reports 1 Communications in Applied and Industrial Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 SMAI Journal of Computational Mathematics 1 Journal of Computational and Theoretical Transport all top 5 Cited in 22 Fields 107 Numerical analysis (65-XX) 73 Partial differential equations (35-XX) 73 Fluid mechanics (76-XX) 70 Statistical mechanics, structure of matter (82-XX) 14 Optics, electromagnetic theory (78-XX) 4 Ordinary differential equations (34-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Astronomy and astrophysics (85-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year