Relevant bibliographies by topics / Vlasov-Poisson equations

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  2. Dissertations / Theses
  3. Books
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Academic literature on the topic 'Vlasov-Poisson equations'

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Published: 8 June 2024
Last updated: 31 July 2025

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Journal articles on the topic "Vlasov-Poisson equations"

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Després, Bruno. "Symmetrization of Vlasov--Poisson Equations." SIAM Journal on Mathematical Analysis 46, no. 4 (2014): 2554–80. http://dx.doi.org/10.1137/130927942.

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JIN, SHI, XIAOMEI LIAO, and XU YANG. "THE VLASOV–POISSON EQUATIONS AS THE SEMICLASSICAL LIMIT OF THE SCHRÖDINGER–POISSON EQUATIONS: A NUMERICAL STUDY." Journal of Hyperbolic Differential Equations 05, no. 03 (2008): 569–87. http://dx.doi.org/10.1142/s021989160800160x.

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In this paper, we numerically study the semiclassical limit of the Schrödinger–Poisson equations as a selection principle for the weak solution of the Vlasov–Poisson in one space dimension. Our numerical results show that this limit gives the weak solution that agrees with the zero diffusion limit of the Fokker–Planck equation. We also numerically justify the multivalued solution given by a moment system of the Vlasov–Poisson equations as the semiclassical limit of the Schrödinger–Poisson equations.
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Larsson, Jonas. "An action principle for the Vlasov equation and associated Lie perturbation equations. Part 1. The Vlasov—Poisson system." Journal of Plasma Physics 48, no. 1 (1992): 13–35. http://dx.doi.org/10.1017/s0022377800016342.

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A new action principle determining the dynamics of the Vlasov–Poisson system is presented (the Vlasov–Maxwell system will be considered in Part 2). The particle distribution function is explicitly a field to be varied in the action principle, in which only fundamentally Eulerian variables and fields appear. The Euler–Lagrange equations contain not only the Vlasov–Poisson system but also equations associated with a Lie perturbation calculation on the Vlasov equation. These equations greatly simplify the extensive algebra in the small-amplitude expansion. As an example, a general, manifestly Man
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Vedenyapin, Victor Valentinovich, and Dmitry Aleksandrovich Kogtenev. "On Derivation and Properties of Vlasov-type equations." Keldysh Institute Preprints, no. 20 (2023): 1–18. http://dx.doi.org/10.20948/prepr-2023-20.

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Derivation of the gravity and electrodynamics equations in the Vlasov-Maxwell-Einstein form is considered. Properties of Vlasov-Poisson equation and its application to construction of periodic solutions – Bernstein-Greene-Kruskal waves – are proposed.
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Tyranowski, Tomasz M. "Stochastic variational principles for the collisional Vlasov–Maxwell and Vlasov–Poisson equations." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2252 (2021): 20210167. http://dx.doi.org/10.1098/rspa.2021.0167.

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In this work, we recast the collisional Vlasov–Maxwell and Vlasov–Poisson equations as systems of coupled stochastic and partial differential equations, and we derive stochastic variational principles which underlie such reformulations. We also propose a stochastic particle method for the collisional Vlasov–Maxwell equations and provide a variational characterization of it, which can be used as a basis for a further development of stochastic structure-preserving particle-in-cell integrators.
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Vedenyapin, V. V., T. V. Salnikova, and S. Ya Stepanov. "Vlasov-Poisson-Poisson equations, critical mass and kordylewski clouds." Доклады Академии наук 485, no. 3 (2019): 276–80. http://dx.doi.org/10.31857/s0869-56524853276-280.

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A derivation of the Vlasov-Poisson-Poisson equation is proposed for studying stationary solutions of a system of gravitating charged particles in vicinity of triangular libration points (Kordylevsky cloud). Stationary solutions are sought as functions of integrals, which leads to elliptic nonlinear equations for the potentials of the gravitational and electrostatic fields. This gives a critical mass: for bodies with large masses dominates gravitation forces, and for bodies with smaller masses - electrostatic forces.
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Vedenyapin, V. V., T. V. Salnikova, and S. Ya Stepanov. "Vlasov–Poisson–Poisson Equations, Critical Mass, and Kordylewski Clouds." Doklady Mathematics 99, no. 2 (2019): 221–24. http://dx.doi.org/10.1134/s1064562419020212.

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Scovel, Clint, and Alan Weinstein. "Finite dimensional lie-poisson approximations to vlasov-poisson equations." Communications on Pure and Applied Mathematics 47, no. 5 (1994): 683–709. http://dx.doi.org/10.1002/cpa.3160470505.

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Karimov, A. R., and H. Ralph Lewis. "Nonlinear solutions of the Vlasov–Poisson equations." Physics of Plasmas 6, no. 3 (1999): 759–61. http://dx.doi.org/10.1063/1.873313.

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Belyaeva, Yu O., and A. L. Skubachevskii. "On classical solutions to the first mixed problem for the Vlasov-Poisson system in an infinite cylinder." Доклады Академии наук 484, no. 6 (2019): 663–66. http://dx.doi.org/10.31857/s0869-56524846663-666.

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The first mixed problem for the Vlasov-Poisson system in an infinite cylinder is considered. This problem describes the kinetics of charged particles in a high-temperature two-component plasma under an external magnetic field. For an arbitrary electric field potential and a sufficiently strong external magnetic field, it is shown that the characteristics of the Vlasov equations do not reach the boundary of the cylinder. It is proved that the Vlasov-Poisson system with ion and electron distribution density functions supported at some distance from the cylinder boundary has a unique classical so
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Dissertations / Theses on the topic "Vlasov-Poisson equations"

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Li, Li. "The asymptotic behavior for the Vlasov-Poisson-Boltzmann system & heliostat with spinning-elevation tracking mode /." access full-text access abstract and table of contents, 2009. http://libweb.cityu.edu.hk/cgi-bin/ezdb/thesis.pl?phd-ma-b30082419f.pdf.

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Thesis (Ph.D.)--City University of Hong Kong, 2009.<br>"Submitted to Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy." Includes bibliographical references (leaves [84]-87)
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SALANON, BRUNO. "Stabilite des solutions des equations de transport application a la resolution numerique du systeme de vlasov-poisson." Nice, 1997. http://www.theses.fr/1997NICE5085.

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Dans cette these, on etudie en premier lieu la continuite et la derivabilite des solutions d'equations aux derivees partielles lineaires du premier ordre par rapport a des perturbations imposees aux donnees du probleme: domaine sur lequel est posee l'equation, champ de vecteurs et donnee au bord. Nous montrons que la continuite a toujours lieu pour des donnees regulieres. Par contre, nous demontrons que la differentiabilite n'est pas toujours verifiee et nous mettons en evidence une condition suffisante de compatibilite geometrique entre les champs de vecteurs et l'ouvert de travail pour obten
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Zhelezov, Gleb, and Gleb Zhelezov. "Coalescing Particle Systems and Applications to Nonlinear Fokker-Planck Equations." Diss., The University of Arizona, 2017. http://hdl.handle.net/10150/624562.

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We study a stochastic particle system with a logarithmically-singular inter-particle interaction potential which allows for inelastic particle collisions. We relate the squared Bessel process to the evolution of localized clusters of particles, and develop a numerical method capable of detecting collisions of many point particles without the use of pairwise computations, or very refined adaptive timestepping. We show that when the system is in an appropriate parameter regime, the hydrodynamic limit of the empirical mass density of the system is a solution to a nonlinear Fokker-Planck equation,
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Vecil, Francesco. "A contribution to the simulation of Vlasov-based models." Doctoral thesis, Universitat Autònoma de Barcelona, 2007. http://hdl.handle.net/10803/3100.

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Esta tesis está dedicada al desarrollo, aplicación y test de métodos para la simulación numérica de problemas procedentes de la física y de la ingeniería electrónica. La principal herramienta aplicada a lo largo de todo el trabajo es la ecuación de Vlasov (transporte) en la forma de la Boltzmann Transport Equation (BTE) para la descripción del transporte de partículas cargadas en plasmas y dispositivos electrónicos: las cargas se mueven bajo el efecto de un campo de fuerza y sufren scattering debido a otras cargas o fonones (pseudo-partículas que describen de manera efectiva las vibraciones de
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Giorgi, Pierre-Antoine. "Analyse mathématique de modèles cinétiques en physique des plasmas." Electronic Thesis or Diss., Aix-Marseille, 2019. http://www.theses.fr/2019AIXM0609.

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Cette thèse porte sur l'étude de quelques modèles cinétiques utilisés en physique des plasmas.Le premier modèle considéré est un système de Vlasov-Poisson 1D à deux espèces de particules (ions et électrons), dans un domaine d'espace borné, x∈(0,1), avec condition de réflexion directe au bord. Dans le cas linéaire, des caractéristiques généralisées sont définies, en s'assurant qu'on atteint le temps s=0 en un nombre fini de rebonds, le cas problématique étant celui où le champ électrique est sortant du domaine. Puis, pour des données initiales paires en vitesse, une solution globale continue es
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Herda, Maxime. "Analyse asymptotique et numérique de quelques modèles pour le transport de particules chargées." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSE1165/document.

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Cette thèse est consacrée à l'étude mathématique de quelques modèles d'équations aux dérivées partielles issues de la physique des plasmas. On s'intéresse principalement à l'analyse théorique de différents régimes asymptotiques de systèmes d'équations cinétiques de type Vlasov-Poisson-Fokker-Planck. Dans un premier temps, en présence d'un champ magnétique extérieur on se concentre sur l'approximation des électrons sans masse fournissant des modèles réduits lorsque le rapport me{mi entre la masse me d'un électron et la masse mi d'un ion tend vers 0 dans les modèles. Suivant le régime considéré,
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Le, Bourdiec Solène. "Méthodes déterministes de résolution des équations de Vlasov-Maxwell relativistes en vue du calcul de la dynamique des ceintures de Van Allen." Phd thesis, Ecole Centrale Paris, 2007. http://tel.archives-ouvertes.fr/tel-00146258.

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Les satellites artificiels baignent dans un environnement radiatif hostile qui conditionne en partie leur fiabilité et leur durée de vie en opération : les ceintures de Van Allen. Afin de les protéger, il est nécessaire de caractériser la dynamique des électrons énergétiques piégés dans les ceintures radiatives. Elle est déterminée essentiellement par les interactions entre les électrons énergétiques et les ondes électromagnétiques existantes. <br /><br />Le travail de cette thèse a consisté à concevoir un schéma numérique original pour la résolution du système d'équations modélisant ces inter
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Zhang, Mei. "Some problems on conservation laws and Vlasov-Poisson-Boltzmann equation /." access full-text access abstract and table of contents, 2009. http://libweb.cityu.edu.hk/cgi-bin/ezdb/thesis.pl?phd-ma-b23749465f.pdf.

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Thesis (Ph.D.)--City University of Hong Kong, 2009.<br>"Submitted to Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy." Includes bibliographical references (leaves [90]-94)
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Bourne, Emily. "Non-uniform numerical schemes for the modelling of turbulence in the 5D GYSELA code." Electronic Thesis or Diss., Aix-Marseille, 2022. http://www.theses.fr/2022AIXM0412.

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Cette thèse s'inscrit dans le cadre des simulations de plasma fusion et son objectif est double: (i) développer des méthodes numériques innovantes adaptées au schéma semi-lagrangien utilisé dans le code 5D gyrocinétique GYSELA, capables de résoudre le problème de grande amplitude de fluctuations et de variation de température au bord du plasma et (ii) prendre en compte des configurations magnétiques plus réalistes que les celles jusqu'alors simulées dans le code. Je présente une nouvelle approche pour la quadrature par splines qui limite le conditionnement pour l'obtention des coefficients de
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Badsi, Mehdi. "Etude mathématiques et simulations numériques de modèles de gaines bi-cinétiques." Thesis, Paris 6, 2016. http://www.theses.fr/2016PA066178.

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Les résultats présentés dans cette thèse portent sur la construction et la simulation numérique de modèles théoriques de plasmas en présence d'une paroi absorbante. Ces modèles se basent sur des systèmes de Vlasov-Poisson ou Vlasov-Ampère à deux espèces en présence de conditions limites. Les solutions stationnaires recherchées vérifient l'équilibre des flux de charges dans la direction perpendiculaire à la paroi. Cette propriété s'appelle l'ambipolarité. A travers l'étude d'une équation de Poisson non linéaire, on montre le caractère bien posé d'un système de Vlasov-Poisson stationnaire 1d-1v
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Books on the topic "Vlasov-Poisson equations"

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Colombo, Maria. Flows of Non-smooth Vector Fields and Degenerate Elliptic Equations: With Applications to the Vlasov-Poisson and Semigeostrophic Systems. Scuola Normale Superiore, 2017.

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Deruelle, Nathalie, and Jean-Philippe Uzan. Kinetic theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0010.

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This chapter covers the equations governing the evolution of particle distribution and relates the macroscopic thermodynamical quantities to the distribution function. The motion of N particles is governed by 6N equations of motion of first order in time, written in either Hamiltonian form or in terms of Poisson brackets. Thus, as this chapter shows, as the number of particles grows it becomes necessary to resort to a statistical description. The chapter first introduces the Liouville equation, which states the conservation of the probability density, before turning to the Boltzmann–Vlasov equ
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Colombo, Maria. Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations: With Applications to the Vlasov-Poisson and Semigeostrophic Systems. Edizioni della Normale, 2018.

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Book chapters on the topic "Vlasov-Poisson equations"

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Colombo, Maria. "The Vlasov-Poisson system." In Flows of Non-smooth Vector Fields and Degenerate Elliptic Equations. Scuola Normale Superiore, 2017. http://dx.doi.org/10.1007/978-88-7642-607-0_8.

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Majda, George. "On Singular Solutions of the Vlasov-Poisson Equations." In Vortex Flows and Related Numerical Methods. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-015-8137-0_5.

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Cao, Yunbai, and Chanwoo Kim. "On Some Recent Progress in the Vlasov–Poisson–Boltzmann System with Diffuse Reflection Boundary." In Recent Advances in Kinetic Equations and Applications. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-82946-9_4.

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Glassey, Robert T., and Jack Schaeffer. "Global Solution of the Cauchy Problem for the Relativistic Vlasov-Poisson Equation with Cylindrically Symmetric Data." In Dispersive Transport Equations and Multiscale Models. Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4419-8935-2_8.

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Kormann, Katharina, and Eric Sonnendrücker. "Sparse Grids for the Vlasov–Poisson Equation." In Lecture Notes in Computational Science and Engineering. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28262-6_7.

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Laidin, Tino, and Thomas Rey. "Hybrid Kinetic/Fluid Numerical Method for the Vlasov-Poisson-BGK Equation in the Diffusive Scaling." In Springer Proceedings in Mathematics & Statistics. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-40860-1_24.

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Rein, Gerhard. "Collisionless Kinetic Equations from Astrophysics – The Vlasov–Poisson System." In Handbook of Differential Equations: Evolutionary Equations. Elsevier, 2007. http://dx.doi.org/10.1016/s1874-5717(07)80008-9.

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"The limit from the one-dimensional Schrödinger-Poisson to Vlasov-Poisson equations." In Wigner Measure and Semiclassical Limits of Nonlinear Schrödinger Equations. American Mathematical Society, 2008. http://dx.doi.org/10.1090/cln/017/03.

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Saikia, Banashree, and Paramananda Deka. "UNSTABLE ELECTROSTATIC WAVES ASSOCIATED WITH DENSITY AND TEMPERATURE GRADIENTS IN AN INHOMOGENEOUS PLASMA." In Advancements in Fine Particle Plasmas [Working Title]. IntechOpen, 2024. http://dx.doi.org/10.5772/intechopen.1002644.

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A study is carried out on the amplification of electrostatic Bernstein waves in the presence of drift wave turbulence in an inhomogeneous plasma. We have considered the Vlasov-Poisson system of equations for the interaction among the waves. In this investigation, we have considered a particle distribution model in which an external force due to density and temperature gradients present in the system is incorporated. The resonant mode of drift wave turbulence interacts with plasma particles through resonant interactions. These accelerated particles transfer their energy to Bernstein waves throu
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Gubarev, Yuriy, and Yang Liu. "On the instability for one subclass of three-dimensional dynamic equilibrium states of the electron Vlasov–Poisson gas." In Analytical Methods in Differential Equations. De Gruyter, 2025. https://doi.org/10.1515/9783111570518-012.

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Conference papers on the topic "Vlasov-Poisson equations"

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Cappelli, Luca, Giuseppe Murante, and Stefano Borgani. "Numerical limits in the integration of Vlasov-Poisson equation for Cold Dark Matter." In 2025 33rd Euromicro International Conference on Parallel, Distributed, and Network-Based Processing (PDP). IEEE, 2025. https://doi.org/10.1109/pdp66500.2025.00067.

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Malkov, E. A., and A. N. Kudryavtsev. "Validation of the GPU code for solving multidimensional Vlasov-Poisson equations." In HIGH-ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2020): Proceedings of the XXVII Conference on High-Energy Processes in Condensed Matter, dedicated to the 90th anniversary of the birth of RI Soloukhin. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0029196.

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Скубачевский, Александр, and Юлия Беляева. "Stationary solutions of the Vlasov--Poisson equations in torus and applications to the theory of high temperature plasma." In International scientific conference "Ufa autumn mathematical school - 2021". Baskir State University, 2021. http://dx.doi.org/10.33184/mnkuomsh2t-2021-10-06.37.

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Shadwick, B. A., and M. Carrie. "A time-implicit algorithm for solving the Vlasov-Poisson equation." In 2013 IEEE 40th International Conference on Plasma Sciences (ICOPS). IEEE, 2013. http://dx.doi.org/10.1109/plasma.2013.6634925.

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Kulikova, Irina V. "Methods of Electronic Optics Simulation Based on Numerical Solving the Vlasov-Poisson Equation." In 2020 International Conference on Actual Problems of Electron Devices Engineering (APEDE). IEEE, 2020. http://dx.doi.org/10.1109/apede48864.2020.9255528.

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Rossmanith, James A., David C. Seal, and Andrew J. Christlieb. "A high-order positivity preserving method for the Vlasov-Poisson equation on unstructured grids." In 2014 IEEE 41st International Conference on Plasma Sciences (ICOPS) held with 2014 IEEE International Conference on High-Power Particle Beams (BEAMS). IEEE, 2014. http://dx.doi.org/10.1109/plasma.2014.7012312.

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Reports on the topic "Vlasov-Poisson equations"

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W.W. Lee and R.A. Kolesnikov. On Higher-order Corrections to Gyrokinetic Vlasov-Poisson Equations in the Long Wavelength Limit. Office of Scientific and Technical Information (OSTI), 2009. http://dx.doi.org/10.2172/950698.

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W. W. Lee, and R. A. Kolesnikov. Response to Comment on "On Higher-Order Corrections to Gyrokinetic Vlasov-Poisson Equations in the Long Wavelength Limit [Phys. Plasmas 16, 044506 (2009)]". Office of Scientific and Technical Information (OSTI), 2009. http://dx.doi.org/10.2172/969307.

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