Yuto Aizawa, Masato Kimura, Kazunori Matsui. Universal approximation properties for an ODENet and a ResNet: Mathematical analysis and numerical experiments. Discrete and Continuous Dynamical Systems - B. 2024. 29. 1. 351-376
Kazunori Matsui. A projection method for Navier-Stokes equations with a boundary condition including the total pressure. Numerische Mathematik. 2022
Kazunori Matsui. Mathematical analysis of pressure Poisson methods and projection methods involving pressure boundary conditions for incompressible viscous flows. 2022
Kazunori Matsui. Sharp consistency estimates for a pressure-Poisson problem with Stokes boundary value problems. Discrete & Continuous Dynamical Systems - S. 2021. 14. 3. 1001-1015
Masato Kimura, Kazunori Matsui, Adrian Muntean, Hirofumi Notsu. Analysis of a projection method for the Stokes problem using an $$\varepsilon $$-Stokes approach. Japan Journal of Industrial and Applied Mathematics. 2019. 36. 3. 959-985