65 citations · 140 across the 28 of their papers we have counts for
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math.NA2015
On a relationship between the T-congruence Sylvester equation and the Lyapunov equation
Masaya Oozawa, Tomohiro Sogabe, Yuto Miyatake +1
We consider the T-congruence Sylvester equation , where , and are given, and…
math.NA2015
Structure-preserving integrators for the Benjamin-type equations
Kimiaki Kinugasa, Yuto Miyatake, Takayasu Matsuo
The numerical integration of the Benjamin and Benjamin--Ono equations are considered. They are non-local partial differential equations involving the Hilbert transform, and due to…
math.NA2015★ 65 cited
A characterization of energy-preserving methods and the construction of parallel integrators for Hamiltonian systems
Yuto Miyatake, John C. Butcher
High order energy-preserving methods for Hamiltonian systems are presented. For this aim, an energy-preserving condition of continuous stage Runge--Kutta methods is proved. Order c…