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20112025
most citedA priori error estimates for Lagrange interpolation on triangles

27 citations · 157 across the 31 of their papers we have counts for

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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…

math.NA2025

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…