2 papers
math.NA2021
An Error Analysis Framework for Neural Network Modeling of Dynamical Systems
Shunpei Terakawa, Takashi Matsubara, Takaharu Yaguchi
We propose a theoretical framework for investigating a modeling error caused by numerical integration in the learning process of dynamics. Recently, learning equations of motion to…
math.NA2021
Symplecticity of coupled Hamiltonian systems
Shunpei Terakawa, Takaharu Yaguchi
We derived a condition under which a coupled system consisting of two finite-dimensional Hamiltonian systems becomes a Hamiltonian system. In many cases, an industrial system can b…