■ Books and Papers
1.
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Article
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Experimental and theoretical study on near-floor flame spread along a thin solid Proceedings of the Combustion Institute (Collaboration)
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2.
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2018/09
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Article
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A simple and fast numerical method for solving flame/smoldering evolution equations JSIAM Lett. 10,pp.49-52 (Collaboration)
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3.
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2017/05
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Article
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Instability of a free boundary in a Hele-Shaw cell with sink/source and its parameter dependence JSIAM Lett. 9,pp.37-40 (Collaboration)
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4.
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2017/05
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Article
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Method of fundamental solutions with weighted average condition and dummy points JSIAM Lett. 9,pp.41-44 (Collaboration)
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5.
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2017/04
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Article
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On invariance of schemes in the method of fundamental solutions Appl. Math. Lett. 73,pp.16-21 (Collaboration)
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6.
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2017
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Article
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Structure-preserving numerical scheme for a generalized area-preserving crystalline curvature flow Computer Methods in Materials Science 17,pp.122-135 (Collaboration)
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7.
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2015/09
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Article
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Exact solution for dislocation bowing and a posteriori numerical technique for dislocation touching-splitting JSIAM Lett. 7,pp.57-60 (Collaboration)
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8.
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2015/07
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Article
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Towards modelling spiral motion of open plane curves Discrete and Continuous Dynamical Systems - Series S 8(5),pp.1009-1022 (Collaboration)
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9.
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2015/04
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Article
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A numerical scheme for the Hele-Shaw flow with a time-dependent gap by a curvature adjusted method Nonlinear Dynamics in Partial Differential Equations, Adv. Stud. Pure Math. 64,pp.253-261 (Single)
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10.
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2013/10
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Article
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A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion Discrete Contin. Dynam. Systems A 34(5),pp.2069-2090 (Collaboration)
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11.
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2013/08
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Article
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On a gradient flow of plane curves minimizing the anisoperimetric ratio IAENG International Journal of Applied Mathematics 43(3),pp.160-171 (Collaboration)
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12.
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2013/06
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Article
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Polygonal Hele-Shaw problem with surface tension Interfaces and Free Boundaries 15(1),pp.77-93 (Collaboration)
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13.
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2012/05
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Article
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Computational and qualitative aspects of motion of plane curves with a curvature adjusted tangential velocity Mathematical Methods in the Applied Sciences 35(15),pp.1784-1798 (Collaboration)
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14.
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2011/09
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Article
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Evolution of plane curves with a curvature adjusted tangential velocity , Jpn. J. Ind. Appl. Math. 28(3),pp.413-442 (Collaboration)
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15.
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2011
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Article
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Computational studies of non-local anisotropic Allen-Cahn equation Mathematica Bohemica 136(4),pp.429-437 (Collaboration)
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16.
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2009
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Article
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Second order numerical scheme for motion of polygonal curves with constant area speed Interfaces and Free Boundaries 11(4),pp.515-536 (Collaboration)
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17.
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2008/10
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Book
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An area-preserving crystalline curvature flow equation
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18.
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2008
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Article
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Application of a curvature adjusted method in image segmentation Bull. Inst. Math. Acad. Sin. (New Series) 3(4),pp.509-523 (Collaboration)
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19.
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2007/12
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Article
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Asymptotic behavior of solutions to an area-preserving motion by crystalline curvature Kybernetika 43(6),pp.903-912 (Single)
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20.
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2007/12
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Article
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On the tangential velocity arising in a crystalline approximation of evolving plane curves Kybernetika 43(6),pp.913-918 (Single)
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21.
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2007/03
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Article
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Motion of nonadmissible convex polygons by crystalline curvature Publications of Research Institute for Mathematical Sciences 43(1),pp.155-170 (Single)
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22.
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2007
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Article
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Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves Asymptotic analysis and singularities---elliptic and parabolic PDEs and related problems, Adv. Stud. Pure Math. 47(2),pp.543-563 (Collaboration)
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23.
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2004/04
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Article
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Convergence of a crystalline approximation for an area-preserving motion J. Comp. App. Math. 166,pp.427-452 (Collaboration)
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24.
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2004
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Article
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Two examples of nonconvex self-similar solution curves for a crystalline curvature flow Proc. Japan Academy, Ser. A 80(8),pp.151-154 (Collaboration)
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25.
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2003
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Article
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On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion J. Comp. App. Math. 159,pp.55-64 (Collaboration)
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26.
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2002
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Article
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Asymptotic behavior of solutions to an expanding motion by a negative power of crystalline curvature Advances in Mathematical Sciences and Applications 12,pp.227-243 (Single)
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27.
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2001/04
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Article
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On an area-preserving crystalline motion Calculus of Variations and PDE 14,pp.85-105 (Single)
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28.
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2001
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Article
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Point-extinction and geometric expansion of solutions to a crystalline motion Hokkaido Mathematical Journal 30,pp.327-357 (Single)
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29.
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2000
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Article
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Convergence of a crystalline algorithm for the motion of a closed convex curve by a power of curvature $V=K^\alpha$ SIAM Journal on Numerical Analysis 37,pp.500-522 (Collaboration)
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■ Academic Qualifications
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■ Career History
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■ Research Topics, Consignment Studies & KAKENHI Researches
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■ Current Specialized Field
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