65 citations · 140 across the 28 of their papers we have counts for
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stat.ME2023
Modelling the discretization error of initial value problems using the Wishart distribution
Naoki Marumo, Takeru Matsuda, Yuto Miyatake
This paper presents a new discretization error quantification method for the numerical integration of ordinary differential equations. The error is modelled by using the Wishart di…
math.NA2023
A new family of fourth-order energy-preserving integrators
Yuto Miyatake
For Hamiltonian systems with non-canonical structure matrices, a new family of fourth-order energy-preserving integrators is presented. The integrators take a form of a combination…