3 papers
math.DS2026
Multi-parameter persistence in dynamical systems for maximizing effects of control inputs
Yusuke Imoto, Tomoo Yokoyama
We introduce a new topological method to naturally extend a partial function on a ``generalization'' of a metric space equipped w…
math.NA2024
Numerical Computation of High Reynolds Number Cavity Flow Using SPH Method with Stream Function and Vorticity Formulation
Yusuke Imoto
When numerically computing high Reynolds number cavity flow, it is known that by formulating the Navier-Stokes equations using the stream function and vorticity as unknown function…
math.NA2019
Truncation error estimates of approximate operators in a generalized particle method
Yusuke Imoto
To facilitate the numerical analysis of particle methods, we derive truncation error estimates for the approximate operators in a generalized particle method. Here, a generalized p…