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@article{DebyeHuckel:1923,
author={Debye, P. and Hückel, E.},
title={Zur Theorie der Elektrolyte. I. Gefrierpunktserniedrigung und verwandte Erscheinungen},
journal={Zeitschrift für Physik},
year={1923},
volume={24},
pages={305-324},
}
@article{Courant:1928,
author = {Courant, R. and Friedrichs, K. and Lewy, H.},
title = {Über die partiellen Differenzengleichungen der mathematischen},
journal = {Mathematische Annalen},
volume = {100},
pages = {32–74},
year = {1928},
doi = {10.1007/BF01448839}
}
@article{Landau:1936,
Author = {L. D. Landau},
Journal = {Journal of Experimental and Theoretical Physics},
Pages = {203},
Volume = {7},
Year = {1937}
}
@article{Vlasov:1938,
Author = {A. A.; Vlasov},
Journal = {Journal of Experimental and Theoretical Physics},
Number = {3},
Pages = {291},
Volume = {8},
Year = {1938}
}
@article{Courant:1952,
author = {Courant, R and Isaacson, E and Rees, M},
title = {On the solution of nonlinear hyperbolic differential equations by finite differences},
journal = {Communications on Pure and Applied Mathematics},
volume = {5},
number = {3},
pages = {243-255},
doi = {10.1002/cpa.3160050303},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/cpa.3160050303},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.3160050303},
year = {1952}
}
@article{BhatnagarGrossKrook:1954,
title = {A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems},
author = {Bhatnagar, P. L. and Gross, E. P. and Krook, M.},
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numpages = {0},
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publisher = {American Physical Society},
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}
@article{Rosenbluth:1957,
title = {Fokker-Planck Equation for an Inverse-Square Force},
author = {Rosenbluth, Marshall N. and MacDonald, William M. and Judd, David L.},
journal = {Physical Review},
volume = {107},
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pages = {1--6},
numpages = {0},
year = {1957},
month = {Jul},
publisher = {American Physical Society},
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}
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author = {Belaiev, S. T. and Budker, G. I.},
journal = {Doklady Akademii Nauk SSSR},
volume = {107},
issue = {807 [Sov. Phys. Dokl. 1, 218 (1957)]},
year = {1956}
}
@article{BernsteinGreenKruskal:1957,
title = {Exact Nonlinear Plasma Oscillations},
author = {Bernstein, Ira B. and Greene, John M. and Kruskal, Martin D.},
journal = {Physical Review},
volume = {108},
issue = {3},
pages = {546--550},
numpages = {0},
year = {1957},
month = {Nov},
publisher = {American Physical Society},
doi = {10.1103/PhysRev.108.546},
url = {https://link.aps.org/doi/10.1103/PhysRev.108.546}
}
@article{Godunov:1959,
Author = {Godunov, S. K.},
Title = {Eine Differenzenmethode f\"ur die N\"aherungsberechnung unstetiger L\"osungen der hydrodynamischen Gleichungen},
Journal = {{Matematicheski\u{\i} Sbornik. Novaya Seriya}},
Volume = {47},
Pages = {271--306},
Year = {1959},
Publisher = {Izdatel'stvo Nauka, Moskva},
Language = {Russian},
MSC2010 = {76M20 76L05},
Zbl = {0171.46204}
}
@article{LaxWendroff:1960,
author = {Lax, Peter and Wendroff, Burton},
title = {Systems of conservation laws},
journal = {Communications on Pure and Applied Mathematics},
volume = {13},
number = {2},
pages = {217-237},
doi = {10.1002/cpa.3160130205},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/cpa.3160130205},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.3160130205},
year = {1960}
}
@book{FriedComte:1961,
Author = {Fried, B. D. and Conte, S. D.},
Series = {The Plasma Dispersion Function},
Year = {1961},
publisher = {Elsevier}
}
@article{Dawson:1962,
author = {Dawson,John },
title = {One‐Dimensional Plasma Model},
journal = {The Physics of Fluids},
volume = {5},
number = {4},
pages = {445-459},
year = {1962},
doi = {10.1063/1.1706638},
URL = {https://aip.scitation.org/doi/abs/10.1063/1.1706638},
eprint = {https://aip.scitation.org/doi/pdf/10.1063/1.1706638}
}
@article{Yee:1966,
Author = {Kane Yee},
Doi = {10.1109/TAP.1966.1138693},
Issn = {0018-926X},
Journal = {IEEE Transactions on Antennas and Propagation},
Keywords = {EMP radiation effects.;Magnetic scattering by absorbing media;Boundary value problems;Maxwell equations;Difference equations;Finite difference methods;Boundary conditions;Electromagnetic scattering;Partial differential equations;EMP radiation effects;Conductors;Differential equations},
Month = {May},
Number = {3},
Pages = {302-307},
Volume = {14},
Year = {1966},
Bdsk-Url-1 = {10.1109/TAP.1966.1138693}}
@article{Gould:1967,
title = {Plasma Wave Echo},
author = {Gould, R. W. and O'Neil, T. M. and Malmberg, J. H.},
journal = {Physical Review Letter},
volume = {19},
issue = {5},
pages = {219--222},
numpages = {0},
year = {1967},
month = {Jul},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.19.219},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.19.219}
}
@article{Fromm:1968,
title = {A method for reducing dispersion in convective difference schemes},
journal = {Journal of Computational Physics},
volume = {3},
number = {2},
pages = {176-189},
year = {1968},
issn = {0021-9991},
doi = {10.1016/0021-9991(68)90015-6},
url = {https://www.sciencedirect.com/science/article/pii/0021999168900156},
author = {Fromm, J. E.}
}
@book{GaleevSagdeev:1969,
author = {Sagdeev, R. Z. and Galeev, A. A.},
title = "{Nonlinear Plasma Theory}",
year = "1969",
publisher = {W. A. Benjamin, Inc., New York}
}
@article{BeamWarming:1976,
title = {An implicit finite-difference algorithm for hyperbolic systems in conservation-law form},
journal = {Journal of Computational Physics},
volume = {22},
number = {1},
pages = {87-110},
year = {1976},
issn = {0021-9991},
doi = {10.1016/0021-9991(76)90110-8},
url = {https://www.sciencedirect.com/science/article/pii/0021999176901108},
author = {Beam, R. M. and Warming, R.F }
}
@article{VanLeerIII:1977,
title = {Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compressible flow},
journal = {Journal of Computational Physics},
volume = {23},
number = {3},
pages = {263-275},
year = {1977},
issn = {0021-9991},
doi = {10.1016/0021-9991(77)90094-8},
url = {https://www.sciencedirect.com/science/article/pii/0021999177900948},
author = {Van Leer, B.}
}
@article{VanLeerV:1977,
title = {Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method},
journal = {Journal of Computational Physics},
volume = {32},
number = {1},
pages = {101-136},
year = {1979},
issn = {0021-9991},
doi = {10.1016/0021-9991(79)90145-1},
url = {https://www.sciencedirect.com/science/article/pii/0021999179901451},
author = {Bram {van Leer}}
}
@book{LandauLifshitz:1981,
Author = {Landau, L. D. and Lifshitz, E. M.},
Series = {A Course of Theoretical Physics},
Title = {{Physical kinetics}},
Volume = {10},
Year = {1981},
publisher = {Pergamon Press}
}
@article{Roe:1986,
author = {Roe, P L},
title = {Characteristic-Based Schemes for the Euler Equations},
journal = {Annual Review of Fluid Mechanics},
volume = {18},
number = {1},
pages = {337-365},
year = {1986},
doi = {10.1146/annurev.fl.18.010186.002005},
URL = {10.1146/annurev.fl.18.010186.002005},
eprint = {10.1146/annurev.fl.18.010186.002005}
}
@article{Decyk:1987,
Author = {Viktor K Decyk},
Title = {Simulation of Microscopic Processes in Plasma},
Journal = {Proceedings of the 1987 International Conference on Plasma Physics, Kiev, USSR, April 1987, ed. A G Sitenko [World Scientific, Singapore, 1987] vol. II, p. 1075},
Year = {1987}
}
@article{BraamsKarney:1987,
title = {Differential form of the collision integral for a relativistic plasma},
author = {Braams, Bastiaan J. and Karney, Charles F. F.},
journal = {Physical Review Letter},
volume = {59},
issue = {16},
pages = {1817--1820},
numpages = {0},
year = {1987},
month = {Oct},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.59.1817},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.59.1817}
}
@article{Berenger:1994,
title = {A perfectly matched layer for the absorption of electromagnetic waves},
journal = {Journal of Computational Physics},
volume = {114},
number = {2},
pages = {185-200},
year = {1994},
issn = {0021-9991},
doi = {10.1006/jcph.1994.1159},
url = {https://www.sciencedirect.com/science/article/pii/S0021999184711594},
author = {Berenger, J.-P.}
}
@article{Liu:1994,
title = {Weighted Essentially Non-oscillatory Schemes},
journal = {Journal of Computational Physics},
volume = {115},
number = {1},
pages = {200-212},
year = {1994},
issn = {0021-9991},
doi = {10.1006/jcph.1994.1187},
url = {https://www.sciencedirect.com/science/article/pii/S0021999184711879},
author = {Xu-Dong Liu and Stanley Osher and Tony Chan}
}
@article{Crouseilles:2004,
title = {Numerical approximation of collisional plasmas by high order methods},
journal = {Journal of Computational Physics},
volume = {201},
number = {2},
pages = {546-572},
year = {2004},
issn = {0021-9991},
doi = {10.1016/j.jcp.2004.06.007},
url = {https://www.sciencedirect.com/science/article/pii/S0021999104002426},
author = {Nicolas Crouseilles and Francis Filbet},
keywords = {Landau–Fokker–Planck equation, Vlasov–Poisson system, Finite difference methods}
}
@article{Duclous:2009,
title = {High order resolution of the Maxwell–Fokker–Planck–Landau model intended for ICF applications},
journal = {Journal of Computational Physics},
volume = {228},
number = {14},
pages = {5072-5100},
year = {2009},
issn = {0021-9991},
doi = {10.1016/j.jcp.2009.04.005},
url = {https://www.sciencedirect.com/science/article/pii/S0021999109001879},
author = {Roland Duclous and Bruno Dubroca and Francis Filbet and Vladimir Tikhonchuk},
keywords = {High order numerical scheme, Fokker–Planck–Landau, Inertial confinement regime, Magnetic field, Electron transport, Energy deposition}
}
@article{Tzoufras:2011,
title = {A Vlasov–Fokker–Planck code for high energy density physics},
journal = {Journal of Computational Physics},
volume = {230},
number = {17},
pages = {6475-6494},
year = {2011},
issn = {0021-9991},
doi = {10.1016/j.jcp.2011.04.034},
url = {https://www.sciencedirect.com/science/article/pii/S0021999111002828},
author = {M. Tzoufras and A.R. Bell and P.A. Norreys and F.S. Tsung},
keywords = {Numerical methods, High energy density physics, Vlasov, Fokker–Planck, Laser fusion, Electron transport, Spherical harmonics}
}
@article{Touati:2014,
doi = {10.1088/1367-2630/16/7/073014},
url = {10.1088/1367-2630/16/7/073014},
year = 2014,
month = {jul},
publisher = {{IOP} Publishing},
volume = {16},
number = {7},
pages = {073014},
author = {M Touati and J-L Feugeas and Ph Nicolaï and J J Santos and L Gremillet and V T Tikhonchuk},
title = {A reduced model for relativistic electron beam transport in solids and dense plasmas},
journal = {New Journal of Physics}
}
@article{Debuyl:2014,
title = {The vmf90 program for the numerical resolution of the Vlasov equation for mean-field systems},
journal = {Computer Physics Communications},
volume = {185},
number = {6},
pages = {1822-1827},
year = {2014},
issn = {0010-4655},
doi = {10.1016/j.cpc.2014.03.004},
url = {https://www.sciencedirect.com/science/article/pii/S0010465514000848},
author = {Pierre {de Buyl}},
keywords = {Vlasov equation, Hamiltonian Mean-Field model, Single wave model}
}
@article{Derouillat:2018,
title = {Smilei : A collaborative, open-source, multi-purpose particle-in-cell code for plasma simulation},
journal = {Computer Physics Communications},
volume = {222},
pages = {351-373},
year = {2018},
issn = {0010-4655},
doi = {10.1016/j.cpc.2017.09.024},
url = {https://www.sciencedirect.com/science/article/pii/S0010465517303314},
author = {J. Derouillat and A. Beck and F. Pérez and T. Vinci and M. Chiaramello and A. Grassi and M. Flé and G. Bouchard and I. Plotnikov and N. Aunai and J. Dargent and C. Riconda and M. Grech},
keywords = {Plasma kinetic simulation, Particle-In-Cell (PIC), High-performance computing, Laser–plasma interaction, Astrophysical plasmas}
}
@article{Joglekar:2020,
doi = {10.21105/joss.02182},
url = {10.21105/joss.02182},
year = {2020},
publisher = {The Open Journal},
volume = {5},
number = {53},
pages = {2182},
author = {Archis S. Joglekar and Matthew C. Levy},
title = {VlaPy: A Python package for Eulerian Vlasov-Poisson-Fokker-Planck Simulations},
journal = {Journal of Open Source Software}
}