On the Paraxial Approximation of the Stationary Vlasov-Maxwell System

Mathematical Models and Methods in Applied SciencesVol. 03, No. 04, pp. 513-562 (1993) No AccessON THE PARAXIAL APPROXIMATION OF THE STATIONARY VLASOV-MAXWELL SYSTEMP. DEGOND and P.A. RAVIARTP. DEGONDCentre de Mathématiques et leurs Applications, Ecole Normale Supérieure de Cachan, 61, avenue du Président Wilson, 94235 Cachan Cedex, FranceCentre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau Cedex, France and P.A. RAVIARTCentre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau Cedex, FranceCentre d’Etudes de Limeil-Valenton, Commissariat à l’ Energie Atomique, BP 27, 94195 Villeneuve Saint-Georges Cedex, Francehttps://doi.org/10.1142/S0218202593000278Cited by:17 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Remember to check out the Most Cited Articles! View our Mathematical Modelling books Featuring authors Frederic Y M Wan, Gregory Baker and more! FiguresReferencesRelatedDetailsCited By 17Multi-Scale Paraxial Models to Approximate Vlasov–Maxwell EquationsFranck Assous and Yevgeni Furman3 February 2022 | Computational Methods in Applied Mathematics, Vol. 22, No. 2Numerical methods for the two-dimensional Vlasov–Poisson equation in the finite Larmor radius approximation regimePhilippe Chartier, Nicolas Crouseilles and Xiaofei Zhao1 Dec 2018 | Journal of Computational Physics, Vol. 375Uniformly Accurate Forward Semi-Lagrangian Methods for Highly Oscillatory Vlasov--Poisson EquationsNicolas Crouseilles, Mohammed Lemou, Florian Méhats and Xiaofei Zhao1 Jan 2017 | Multiscale Modeling & Simulation, Vol. 15, No. 2Data mining and probabilistic models for error estimate analysis of finite element methodJoël Chaskalovic and Franck Assous1 Nov 2016 | Mathematics and Computers in Simulation, Vol. 129Expansion of a singularly perturbed equation with a two-scale converging convection termAlexandre Mouton1 Oct 2016 | Discrete and Continuous Dynamical Systems - Series S, Vol. 9, No. 5On the Boltzmann equation for charged particle beams under the effect of strong magnetic fieldsMihai Bostan1 Jan 2015 | Discrete & Continuous Dynamical Systems - B, Vol. 20, No. 2A paraxial asymptotic model for the coupled Vlasov–Maxwell problem in electromagneticsF. Assous and J. Chaskalovic1 Nov 2014 | Journal of Computational and Applied Mathematics, Vol. 270Mathematical and numerical methods for Vlasov–Maxwell equations: The contribution of data miningFranck Assous and Joël Chaskalovic1 Oct 2014 | Comptes Rendus Mécanique, Vol. 342, No. 10-11Asymptotic Preserving schemes for highly oscillatory Vlasov–Poisson equationsNicolas Crouseilles, Mohammed Lemou and Florian Méhats1 Sep 2013 | Journal of Computational Physics, Vol. 248Error estimate evaluation in numerical approximations of partial differential equations: A pilot study using data mining methodsFranck Assous and Joël Chaskalovic1 Mar 2013 | Comptes Rendus Mécanique, Vol. 341, No. 3A new paraxial asymptotic model for the relativistic Vlasov–Maxwell equationsFranck Assous and J. Chaskalovic1 Oct 2012 | Comptes Rendus Mécanique, Vol. 340, No. 10Data mining techniques for scientific computing: Application to asymptotic paraxial approximations to model ultrarelativistic particlesFranck Assous and Joël Chaskalovic1 Jun 2011 | Journal of Computational Physics, Vol. 230, No. 12A new asymptotic approximate model for the Vlasov-Maxwell equationsF. Assous and F. Tsipis1 May 2010 | Procedia Computer Science, Vol. 1, No. 1Numerical paraxial approximation for highly relativistic beamsFranck Assous and Felix Tsipis1 Jul 2009 | Computer Physics Communications, Vol. 180, No. 7A parallel Vlasov solver based on local cubic spline interpolation on patchesNicolas Crouseilles, Guillaume Latu and Eric Sonnendrücker1 Mar 2009 | Journal of Computational Physics, Vol. 228, No. 5LONG TIME SIMULATION OF A BEAM IN A PERIODIC FOCUSING CHANNEL VIA A TWO-SCALE PIC-METHODEMMANUEL FRÉNOD, FRANCESCO SALVARANI and ERIC SONNENDRÜCKER21 November 2011 | Mathematical Models and Methods in Applied Sciences, Vol. 19, No. 02MODELING AND NUMERICAL SIMULATION OF SPACE CHARGE DOMINATED BEAMS IN THE PARAXIAL APPROXIMATIONFRANCIS FILBET and ERIC SONNENDRÜCKER21 November 2011 | Mathematical Models and Methods in Applied Sciences, Vol. 16, No. 05 Recommended Vol. 03, No. 04 Metrics History Received 1 October 1992 PDF download