25 citations · 79 across the 19 of their papers we have counts for
20 papers
Resolvent Estimates for Viscoelastic Systems of Extended Maxwell Type and their Applications
Maarten V. de Hoop, Masato Kimura, Ching-Lung Lin +1
In the theory of viscoelasticity, an important class of models admits a representation in terms of springs and dashpots. Widely used members of this class are the Maxwell model and…
A two-step Lagrange-Galerkin scheme for the shallow water equations with a transmission boundary condition and its application to the Bay of Bengal region. Part I: Flat bottom topography
Md Mamunur Rasid, Masato Kimura, Md Masum Murshed +2
This study presents a two-step Lagrange-Galerkin scheme for the shallow water equations with a transmission boundary condition (TBC). Firstly, the experimental order of convergence…
Comoving mesh method for certain classes of moving boundary problems
Yosuke Sunayama, Masato Kimura, Julius Fergy Rabago
A Lagrangian-type numerical scheme called the "comoving mesh method" or CMM is developed for numerically solving certain classes of moving boundary problems which include, for exam…
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…
Quantitative estimate of the continuum approximations of interacting particle systems in one dimension
Masato Kimura, Patrick van Meurs
We consider a large class of interacting particle systems in 1D described by an energy whose interaction potential is singular and non-local. This class covers Riesz gases (in part…
Chaos in nanomagnet via feedback current
Tomohiro Taniguchi, Nozomi Akashi, Hirofumi Notsu +3
Nonlinear magnetization dynamics excited by spin-transfer effect with feedback current is studied both numerically and analytically. The numerical simulation of the Landau-Lifshitz…