27 citations · 157 across the 31 of their papers we have counts for
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Numerical accuracy and stability of semilinear Klein--Gordon equation in de Sitter spacetime
Takuya Tsuchiya, Makoto Nakamura
Numerical simulations of the semilinear Klein--Gordon equation in the de Sitter spacetime are performed. We use two structure-preserving discrete forms of the Klein--Gordon equatio…
Liouville's formulae and Hadamard variation with respect to general domain perturbations
Takashi Suzuki, Takuya Tsuchiya
We study Hadamard variations with respect to general domain perturbations, particularly for the Neumann boundary condition. They are derived from new Liouville's formulae concernin…
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…
Numerical simulations of semilinear Klein--Gordon equation in the de Sitter spacetime with structure-preserving scheme
Takuya Tsuchiya, Makoto Nakamura
We perform some simulations of the semilinear Klein--Gordon equation in the de Sitter spacetime. We reported the accurate numerical results of the equation with the structure-prese…
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…