14 citations · 28 across the 8 of their papers we have counts for
8 papers
Convergence of a finite difference scheme for the Kuramoto--Sivashinsky equation defined on an expanding circle
Shunsuke Kobayashi, Shigetoshi Yazaki
This paper presents a finite difference method combined with the Crank--Nicolson scheme of the Kuramoto--Sivashinsky equation defined on an expanding circle (\cite{KUY}), and the e…
A simple numerical method for Hele-Shaw type problems by the method of fundamental solutions
Koya Sakakibara, Yusaku Shimoji, Shigetoshi Yazaki
Hele-Shaw flows with time-dependent gaps create fingering patterns, and magnetic fluids in Hele-Shaw cells create intriguing patterns.We propose a simple numerical method for Hele-…
On a gradient flow of plane curves minimizing the anisoperimetric ratio
Daniel Sevcovic, Shigetoshi Yazaki
We analyze a gradient flow of closed planar curves minimizing the anisoperimetric ratio. For such a flow the normal velocity is a function of the anisotropic curvature and it also…
Evolution of plane curves with a curvature adjusted tangential velocity
Daniel Sevcovic, Shigetoshi Yazaki
We study evolution of a closed embedded plane curve with the normal velocity depending on the curvature, the orientation and the position of the curve. We propose a new method of t…
Second order numerical scheme for motion of polygonal curves with constant area speed
M. Benes, M. Kimura, S. Yazaki
We study polygonal analogues of several moving boundary problems and their time discretization which preserves the constant area speed property. We establish various polygonal anal…
Analytical and numerical aspects on motion of polygonal curves with constant area speed
Michal Benes, Masato Kimura, Shigetoshi Yazaki
General area-preserving motion of polygonal curves is formulated as a system of ODEs. Solution polygonal curves belong to a prescribed polygonal class, which is similar to the admi…
Application of a curvature adjusted method in image segmentation
M. Benes, M. Kimura, P. Paus +3
This article deals with flow of plane curves driven by the curvature and external force. We make use of such a geometric flow for the purpose of image segmentation. A parametric mo…
Computational and qualitative aspects of motion of plane curves with a curvature adjusted tangential velocity
D. Sevcovic, S. Yazaki
In this paper we investigate a time dependent family of plane closed Jordan curves evolving in the normal direction with a velocity which is assumed to be a function of the curvatu…