30 citations · 67 across the 6 of their papers we have counts for
6 papers
Cosmological Vlasov-Poisson Simulations of Structure Formation with Relic Neutrinos: Nonlinear Clustering and the Neutrino Mass
Kohji Yoshikawa, Satoshi Tanaka, Naoki Yoshida +1
We present the results of cosmological simulations of large-scale structure formation with massive neutrinos. The phase-space distribution of the cosmic relic neutrinos is followed…
On the uniqueness of solutions of a semilinear equation in an annulus
Carmen Cortázar, Marta Garcia-Huidobro, Pilar Herreros +1
We establish the uniqueness of positive radial solutions of where $A:=A_{a,b}=\{ x\in {\math…
Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems
Masakazu Onitsuka, Satoshi Tanaka
A class of two-dimensional linear differential systems is considered. The box-counting dimension of the graphs of solution curves is calculated. Criteria to obtain the box-counting…
Multidimensional VlasovPoisson Simulations with High-order Monotonicity- and Positivity-preserving Schemes
Satoshi Tanaka, Kohji Yoshikawa, Takashi Minoshima +1
We develop new numerical schemes for Vlasov--Poisson equations with high-order accuracy. Our methods are based on a spatially monotonicity-preserving (MP) scheme and are modified s…
Symmetry-breaking bifurcation for the one-dimensional Liouville type equation
Satoshi Tanaka
The two-point boundary value problem for the one-dimensional Liouville type equation is considered. In this paper, a symmetry-breaking result is obtained by using the Morse index.
A new ray-tracing scheme for 3D diffuse radiation transfer on highly parallel architectures
Satoshi Tanaka, Kohji Yoshikawa, Takashi Okamoto +1
We present a new numerical scheme to solve the transfer of diffuse radiation on three-dimensional mesh grids which is efficient on processors with highly parallel architecture such…