Search Results - "Yazaki, Shigetoshi"
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A simple numerical method for Hele–Shaw type problems by the method of fundamental solutions
Published in Japan journal of industrial and applied mathematics (01-12-2022)“…Hele-Shaw flows with time-dependent gaps create fingering patterns, and magnetic fluids in Hele–Shaw cells create intriguing patterns. We propose a simple…”
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2
Gravity Effects on the Minimum Explosive Concentrations in 1-D Dust Explosion
Published in Combustion science and technology (19-05-2023)“…Theoretical predictions of dust-explosion characteristics, such as the minimum explosive concentration (MEC), can help improve the accuracy of quantitative…”
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3
Experimental and theoretical study on near-floor flame spread along a thin solid
Published in Proceedings of the Combustion Institute (2019)“…This paper presents experimental observations and a theory of near-floor flame spread along a thin solid. Experiments were conducted by igniting at the center…”
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Preface to the special issue for the selected papers of the Czech-Japanese Seminar in Applied Mathematics 2021
Published in Japan journal of industrial and applied mathematics (01-12-2022)Get full text
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5
On invariance of schemes in the method of fundamental solutions
Published in Applied mathematics letters (01-11-2017)“…Method of fundamental solutions (MFS) is a meshfree numerical solver for linear homogeneous partial differential equations, and it has been applied to several…”
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Detecting a sign of severe fire events by image processing
Published in Journal of Thermal Science and Technology (2024)“…Fire whirls, also known as fire tornadoes, represent an extraordinarily severe fire phenomenon, exemplified by the catastrophic events shortly after the great…”
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Novel analysis using magnetic resonance cholangiography for patients with pancreaticobiliary maljunction
Published in Surgery today (Tokyo, Japan) (01-03-2022)“…Purpose We used a novel diagnostic Fourier transform (FT) algorithm of the entire extrahepatic bile duct (EHBD) measured by magnetic resonance cholangiography…”
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On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion
Published in Journal of computational and applied mathematics (01-10-2003)“…We consider the asymptotic behavior of motion of polygonal convex curves by crystalline curvature in the plane. There appear spontaneously two types of…”
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Early warning signals of flashover in compartment fires
Published in Fire safety journal (01-12-2024)“…There have been efforts to predict the occurrence of flashover. Due to its sudden development and the difficulty in discerning warning signs during the…”
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Convergence of a crystalline approximation for an area-preserving motion
Published in Journal of computational and applied mathematics (15-04-2004)“…We consider an approximation of area-preserving motion in the plane by a generalized crystalline motion. The area-preserving motion is described by a parabolic…”
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Convergence of a Crystalline Algorithm for the Motion of a Closed Convex Curve by a Power of Curvature V = Kα
Published in SIAM journal on numerical analysis (01-01-1999)“…A finite difference scheme is constructed for the evolution of a plane curve driven by a power of curvature:$V = K^\alpha, \alpha > 0$, where V and K are the…”
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Computational and qualitative aspects of motion of plane curves with a curvature adjusted tangential velocity
Published in Mathematical methods in the applied sciences (01-10-2012)“…In this paper, we investigate a time‐dependent family of plane closed Jordan curves evolving in the normal direction with a velocity that is assumed to be a…”
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13
Evolution of plane curves with a curvature adjusted tangential velocity
Published in Japan journal of industrial and applied mathematics (01-10-2011)“…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…”
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14
Convergence of a finite difference scheme for the Kuramoto--Sivashinsky equation defined on an expanding circle
Published 01-08-2021“…This paper presents a finite difference method combined with the Crank--Nicolson scheme of the Kuramoto--Sivashinsky equation defined on an expanding circle…”
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15
A simple numerical method for Hele-Shaw type problems by the method of fundamental solutions
Published 31-05-2021“…Hele-Shaw flows with time-dependent gaps create fingering patterns, and magnetic fluids in Hele-Shaw cells create intriguing patterns.We propose a simple…”
Get full text
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16
On an area-preserving crystalline motion
Published in Calculus of variations and partial differential equations (01-01-2002)“…The asymptotic behavior of solutions to an area-preserving crystalline motion is investigated in this paper. In this equation, the area enclosed by the…”
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17
On a gradient flow of plane curves minimizing the anisoperimetric ratio
Published 10-03-2012“…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…”
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18
Evolution of plane curves with a curvature adjusted tangential velocity
Published 14-09-2010“…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…”
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Analytical and numerical aspects on motion of polygonal curves with constant area speed
Published 15-02-2008“…General area-preserving motion of polygonal curves is formulated as a system of ODEs. Solution polygonal curves belong to a prescribed polygonal class, which…”
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