@article{9c30d44736cc468aa644dae6360ed775,
title = "A non-oscillatory and conservative semi-Lagrangian scheme with fourth-degree polynomial interpolation for solving the Vlasov equation",
abstract = "A conservative semi-Lagrangian scheme for the numerical solution of the Vlasov equation is developed based on the fourth-degree polynomial interpolation. Then, a numerical filter is implemented that preserves positivity and non-oscillatory. The numerical results of both one-dimensional linear advection and two-dimensional Vlasov-Poisson simulations show that the numerical diffusion with the fourth-degree polynomial interpolation is suppressed more than with the cubic polynomial interpolation. It is also found that inherent conservation properties of the Vlasov equation can be improved by combining numerical fluxes of the upwind-biased and central fourth-degree polynomial interpolations.",
keywords = "Conservative scheme, Hyperbolic equation, Numerical interpolation, Vlasov equation",
author = "Takayuki Umeda and Yasuhiro Nariyuki and Daichi Kariya",
note = "Funding Information: This work was supported by Grant-in-Aid for Young Scientists (B) No. 21740352 (T.U.) and No. 22740324 (Y.N.) from MEXT of Japan . This works was carried out as HPC joint research programs at Solar-Terrestrial Environment Laboratory and Information Technology Center in Nagoya University and Joint Usage/Research Center for Interdisciplinary Large-scale Information Infrastructures (JHPCN). ",
year = "2012",
month = may,
doi = "10.1016/j.cpc.2012.01.011",
language = "英語",
volume = "183",
pages = "1094--1100",
journal = "Computer Physics Communications",
issn = "0010-4655",
publisher = "Elsevier B.V.",
number = "5",
}