27 citations · 157 across the 31 of their papers we have counts for
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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…
Approximating surface areas by interpolations on triangulations
Kenta Kobayashi, Takuya Tsuchiya
We consider surface area approximations by Lagrange and Crouzeix--Raviart interpolations on triangulations. For Lagrange interpolation, we give an alternative proof for Young's cla…
Constructing of constraint preserving scheme for Einstein equations
Takuya Tsuchiya, Gen Yoneda
We propose a new numerical scheme of evolution for the Einstein equations using the discrete variational derivative method (DVDM). We derive the discrete evolution equation of the…
Error Analysis of Lagrange Interpolation on Tetrahedrons
Kenta Kobayashi, Takuya Tsuchiya
This paper describes the analysis of Lagrange interpolation errors on tetrahedrons. In many textbooks, the error analysis of Lagrange interpolation is conducted under geometric ass…