A numerical method for solving the one-dimensional Vlasov—Poisson equation in phase space

Takayuki Utsumi, Tomoaki Kunugi, James Koga

Type: Article

Publication Date: 1998-02-01

Citations: 15

DOI: https://doi.org/10.1016/s0010-4655(97)00119-7

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Computer Physics Communications - View

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+	Cubic interpolated propagation scheme for solving the hyper-dimensional Vlasov—Poisson equation in phase space	1999	Takashi Nakamura Takashi Yabe
+	A Particle-in-cell Method with Adaptive Phase-space Remapping for Kinetic Plasmas	2011	Bei Wang Gregory H. Miller Phillip Colella
+ PDF Chat	A conservative and non-oscillatory scheme for Vlasov code simulations	2008	Takayuki Umeda
+	Numerical Simulations to the Vlasov-Poisson System with a Strong Magnetic Field	2018	Francis Filbet Chang Yang
+	A non-oscillatory and conservative semi-Lagrangian scheme with fourth-degree polynomial interpolation for solving the Vlasov equation	2012	Takayuki Umeda Yasuhiro Nariyuki Daichi Kariya
+	A numerical method for solving the Vlasov–Poisson equation based on the conservative IDO scheme	2009	Kenji Imadera Y. Kishimoto Daisuke N. Saito Jiquan Li Takayuki Utsumi
+	Parallel Implementation of the Solver for the One-dimensional Vlasov-Poisson Equation based on the DA-CIP method	2003	Takayuki Utsumi James Koga Tomoaki Kunugi
+	Accurate numerical method for the solutions of the Schrödinger equation and the radial integrals based on the CIP method	2002	Takayuki Utsumi James Koga
+ PDF Chat	ColDICE: A parallel Vlasov–Poisson solver using moving adaptive simplicial tessellation	2016	T. Sousbie Stéphane Colombi

Works Cited by This (7)

Action	Title	Year	Authors
+	A finite element code for the simulation of one-dimensional vlasov plasmas. II. Applications	1988	S.I. Zaki T. J. M. Boyd L.R.T. Gardner
+	A universal cubic interpolation solver for compressible and incompressible fluids	1991	Takashi Yabe
+	A splitting scheme for the numerical solution of a one-dimensional Vlasov equation	1977	R.R.J. Gagne M. Shoucri
+	Stability and accuracy of the Cubic Interpolated Propagation scheme	1997	Takayuki Utsumi Tomoaki Kunugi Takayuki Aoki
+	Numerical Approximation of the One-Dimensional Vlasov–Poisson System with Periodic Boundary Conditions	1996	Stephen Wollman Ercüment Özïzmïr
+	A universal solver for hyperbolic equations by cubic-polynomial interpolation I. One-dimensional solver	1991	Takashi Yabe Takayuki Aoki
+	The integration of the vlasov equation in configuration space	1976	C. Z. Cheng G. Knorr