3 papers
math.NA2026
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…
math.NA2025
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…
gr-qc2024
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…