27 citations · 157 across the 31 of their papers we have counts for
31 papers
Structure-preserving numerical calculation of wave equation for a vector field
Takuya Tsuchiya
For the Proca equation, which is a wave equation for a vector field, we derive the canonical formulation including constraints from the Stueckelberg action and propose discrete equ…
Quantitative evaluations of stability and convergence for solutions of semilinear Klein--Gordon equation
Takuya Tsuchiya, Makoto Nakamura
We perform some simulations of the semilinear Klein--Gordon equation with a power-law nonlinear term and propose each of the quantitative evaluation methods for the stability and c…
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…
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…