27 citations · 157 across the 31 of their papers we have counts for
10 papers · 1 filter
Stability analysis and improvement of the covariant BSSN formulation against the FLRW spacetime background
Hidetomo Hoshino, Takuya Tsuchiya, Gen Yoneda
In this study, we investigate the numerical stability of the covariant Baumgarte--Shapiro--Shibata--Nakamura (cBSSN) formulation against the Friedmann--Lemaître--Robertson--Walker…
On the stability of covariant BSSN formulation
Ryosuke Urakawa, Takuya Tsuchiya, Gen Yoneda
In this study, we investigate the numerical stability of the covariant BSSN (cBSSN) formulation proposed by Brown. We calculate the constraint amplification factor (CAF), which is…
Stable numerical simulation of Einstein equations in gravitational collapse space--time
Takuya Tsuchiya, Ryosuke Urakawa, Gen Yoneda
We perform simulations in a gravitational collapsing model using the Einstein equations. In this paper, we review the equations for constructing the initial values and the evolutio…
On the numerical experiments of the Cauchy problem for semi-linear Klein-Gordon equations in the de Sitter spacetime
Takuya Tsuchiya, Makoto Nakamura
The computational analysis of the Cauchy problem for semi-linear Klein-Gordon equations in the de Sitter spacetime is considered. Several simulations are performed to show the time…
The linear stability of the post-Newtonian triangular equilibrium in the three-body problem
Kei Yamada, Takuya Tsuchiya
Continuing work initiated in an earlier publication [Yamada, Tsuchiya, and Asada, Phys. Rev. D 91, 124016 (2015)], we reexamine the linear stability of the triangular solution in t…
Constraint-Preserving Scheme for Maxwell's Equations
Takuya Tsuchiya, Gen Yoneda
We derive the discretized Maxwell's equations using the discrete variational derivative method (DVDM), calculate the evolution equation of the constraint, and confirm that the equa…