9 citations · 18 across the 7 of their papers we have counts for
7 papers
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…
Filtrations Indexed by Attracting Levels and their Applications
Yusuke Imoto, Tomoo Yokoyama
We introduce a new class of filtrations indexed by attracting levels in dynamical systems, providing novel inputs for persistent homology and related methods in topological data an…
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…
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…
Convergence study and optimal weight functions of an explicit particle method for the incompressible Navier--Stokes equations
Y. Imoto, S. Tsuzuki, D. Nishiura
To increase the reliability of simulations by particle methods for incompressible viscous flow problems, convergence studies and improvements of accuracy are considered for a fully…
Unique solvability and stability analysis for incompressible smoothed particle hydrodynamics method
Y. Imoto
The incompressible smoothed particle hydrodynamics method (ISPH) is a numerical method widely used for accurately and efficiently solving flow problems with free surface effects. H…
Stability of a generalized particle method for a Poisson equation by discrete Sobolev norms
Y. Imoto
Numerical analysis is conducted for a generalized particle method for a Poisson equation. Unique solvability is derived for the discretized Poisson equation by introducing a connec…