2 citations · 2 across the 9 of their papers we have counts for
9 papers
A Projection Method for an Elasto-plasticity Model with Linear Kinematic Hardening
Yoshiho Akagawa, Kazunori Matsui
We consider a dynamical elasto-plasticity system with Kelvin--Voigt viscosity and linear kinematic hardening of Melan--Prager type. The model is formulated in a variational framewo…
Threshold dynamics in time-delay systems: polynomial -control in a pressing process and connections to blow-up
Masato Kimura, Hirotaka Kuma, Yikan Liu +3
This paper addresses a press control problem in straightening machines with small time delays due to system communication. To handle this, we propose a generalized -control meth…
Universal approximation property of ODENet and ResNet with a single activation function
Masato Kimura, Kazunori Matsui, Yosuke Mizuno
We study a universal approximation property of ODENet and ResNet. The ODENet is a map from an initial value to the final value of an ODE system in a finite interval. It is consider…
Projection scheme for a perfect plasticity model with a time-dependent constraint set
Yoshiho Akagawa, Kazunori Matsui
This paper introduces a new numerical scheme for a system that includes evolution equations describing a perfect plasticity model with a time-dependent yield surface. We demonstrat…
A projection method for Navier-Stokes equations with a boundary condition including the total pressure
Kazunori Matsui
We consider a projection method for time-dependent incompressible Navier-Stokes equations with a total pressure boundary condition. The projection method is one of the numerical ca…
Universal Approximation Properties for an ODENet and a ResNet: Mathematical Analysis and Numerical Experiments
Yuto Aizawa, Masato Kimura, Kazunori Matsui
We prove a universal approximation property (UAP) for a class of ODENet and a class of ResNet, which are simplified mathematical models for deep learning systems with skip connecti…
Analysis of a projection method for the Stokes problem using an -Stokes approach
Masato Kimura, Kazunori Matsui, Adrian Muntean +1
We generalize pressure boundary conditions of an -Stokes problem. Our -Stokes problem connects the classical Stokes problem and the corresponding pressure…
Boundary conditions for the Stokes problem and a pressure-Poisson problem
Kazunori Matsui
We consider a boundary value problem for the stationary Stokes problem and the corresponding pressure-Poisson equation. We propose a new formulation for the pressure-Poisson proble…
Asymptotic analysis of an -Stokes problem connecting Stokes and pressure-Poisson problems
Kazunori Matsui, Adrian Muntean
In this Note, we prepare an -Stokes problem connecting the Stokes problem and the corresponding pressure-Poisson equation using one parameter . We prove…