# zbMATH — the first resource for mathematics

## Yazaki, Shigetoshi

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 Author ID: yazaki.shigetoshi Published as: Yazaki, S.; Yazaki, Shigetoshi
 Documents Indexed: 36 Publications since 1999, including 3 Books
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#### Co-Authors

 7 single-authored 7 Beneš, Michal 7 Ishiwata, Tetsuya 5 Kimura, Masato 5 Ushijima, Takeo K. 3 Sakakibara, Koya 3 Ševčovič, Daniel 3 Tsujikawa, Tohru 2 Hirota, Chiaki 2 Kobayashi, Shunsuke 2 Nakamura, Ken-Ichi 2 Pauš, Petr 2 Sakamoto, Takashi Okuda 2 Uegata, Yasuhide 1 Goto, Maika 1 Knobloch, Petr 1 Kuwana, Kazunori 1 Osaki, Koichi 1 Satoh, Hirotoshi 1 Tagami, Daisuke 1 Tani, Hisasi 1 Yagisita, Hiroki
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#### Serials

 6 JSIAM Letters 3 Kybernetika 2 Journal of Computational and Applied Mathematics 2 Interfaces and Free Boundaries 2 Discrete and Continuous Dynamical Systems. Series S 2 COE Lecture Note 1 Mathematical Methods in the Applied Sciences 1 Hiroshima Mathematical Journal 1 Hokkaido Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics Letters 1 Japan Journal of Industrial and Applied Mathematics 1 Mathematica Bohemica 1 Advances in Mathematical Sciences and Applications 1 Calculus of Variations and Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 RIMS Kôkyûroku Bessatsu
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#### Fields

 20 Partial differential equations (35-XX) 18 Numerical analysis (65-XX) 16 Differential geometry (53-XX) 10 Ordinary differential equations (34-XX) 9 Fluid mechanics (76-XX) 6 Mechanics of deformable solids (74-XX) 5 General and overarching topics; collections (00-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

23 Publications have been cited 85 times in 42 Documents Cited by Year
Convergence of a crystalline algorithm for the motion of a closed convex curve by a power of curvature $$V=K^\alpha$$. Zbl 0946.65071
Ushijima, Takeo K.; Yazaki, Shigetoshi
2000
Computational studies of non-local anisotropic Allen-Cahn equation. Zbl 1249.35153
Beneš, M.; Yazaki, S.; Kimura, M.
2011
Evolution of plane curves with a curvature adjusted tangential velocity. Zbl 1291.35109
Ševčovič, Daniel; Yazaki, Shigetoshi
2011
On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion. Zbl 1033.65055
Ishiwata, Tetsuya; Yazaki, Shigetoshi
2003
Two examples of nonconvex self-similar solution curves for a crystalline curvature flow. Zbl 1077.53054
Ishiwata, Tetsuya; Ushijima, Takeo K.; Yagisita, Hiroki; Yazaki, Shigetoshi
2004
Application of a curvature adjusted method in image segmentation. Zbl 1170.53040
Beneš, M.; Kimura, M.; Pauš, P.; Ševčovič, D.; Tsujikawa, T.; Yazaki, S.
2008
Convergence of a crystalline approximation for an area-preserving motion. Zbl 1052.65082
Ushijima, Takeo K.; Yazaki, Shigetoshi
2004
On an area-preserving crystalline motion. Zbl 1143.37320
Yazaki, Shigetoshi
2002
Point-extinction and geometric expansion of solutions to a crystalline motion. Zbl 1192.82077
Yazaki, Shigetoshi
2001
Convergence of a crystalline algorithm for the motion of a closed convex curve by a power of curvature. Zbl 0953.65092
Ushijima, Takeo K.; Yazaki, Shigetoshi
1999
Computational and qualitative aspects of motion of plane curves with a curvature adjusted tangential velocity. Zbl 1255.35148
Ševčovič, Daniel; Yazaki, Shigetoshi
2012
On the tangential velocity arising in a crystallinge approximation of evolving plane curves. Zbl 1139.53033
Yazaki, Shigetoshi
2007
Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves. Zbl 1143.35308
Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi
2007
Motion of nonadmissible convex polygons by crystalline curvature. Zbl 1132.53036
Yazaki, Shigetoshi
2007
On invariance of schemes in the method of fundamental solutions. Zbl 1375.65170
Sakakibara, Koya; Yazaki, Shigetoshi
2017
Towards modelling spiral motion of open plane curves. Zbl 1322.53009
Osaki, Koichi; Satoh, Hirotoshi; Yazaki, Shigetoshi
2015
A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion. Zbl 1282.34042
Ishiwata, Tetsuya; Yazaki, Shigetoshi
2014
Second order numerical scheme for motion of polygonal curves with constant area speed. Zbl 1189.65189
Beneš, Michal; Kimura, Masato; Yazaki, Shigetoshi
2009
Some results on singularities of solutions to an anisotropic crystalline curvature flow. Zbl 1163.34340
Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi
2005
Asymptotic behavior of solutions to an expanding motion by a negative power of crystalline curvature. Zbl 1032.53059
Yazaki, Shigetoshi
2002
A simple and fast numerical method for solving flame/smoldering evolution equations. Zbl 1437.65096
Goto, Maika; Kuwana, Kazunori; Yazaki, Shigetoshi
2018
Polygonal Hele-Shaw problem with surface tension. Zbl 1302.35464
Kimura, Masato; Tagami, Daisuke; Yazaki, Shigetoshi
2013
Asymptotic behavior of solutions to an area-preserving motion by crystalline curvature. Zbl 1139.53032
Yazaki, Shigetoshi
2007
A simple and fast numerical method for solving flame/smoldering evolution equations. Zbl 1437.65096
Goto, Maika; Kuwana, Kazunori; Yazaki, Shigetoshi
2018
On invariance of schemes in the method of fundamental solutions. Zbl 1375.65170
Sakakibara, Koya; Yazaki, Shigetoshi
2017
Towards modelling spiral motion of open plane curves. Zbl 1322.53009
Osaki, Koichi; Satoh, Hirotoshi; Yazaki, Shigetoshi
2015
A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion. Zbl 1282.34042
Ishiwata, Tetsuya; Yazaki, Shigetoshi
2014
Polygonal Hele-Shaw problem with surface tension. Zbl 1302.35464
Kimura, Masato; Tagami, Daisuke; Yazaki, Shigetoshi
2013
Computational and qualitative aspects of motion of plane curves with a curvature adjusted tangential velocity. Zbl 1255.35148
Ševčovič, Daniel; Yazaki, Shigetoshi
2012
Computational studies of non-local anisotropic Allen-Cahn equation. Zbl 1249.35153
Beneš, M.; Yazaki, S.; Kimura, M.
2011
Evolution of plane curves with a curvature adjusted tangential velocity. Zbl 1291.35109
Ševčovič, Daniel; Yazaki, Shigetoshi
2011
Second order numerical scheme for motion of polygonal curves with constant area speed. Zbl 1189.65189
Beneš, Michal; Kimura, Masato; Yazaki, Shigetoshi
2009
Application of a curvature adjusted method in image segmentation. Zbl 1170.53040
Beneš, M.; Kimura, M.; Pauš, P.; Ševčovič, D.; Tsujikawa, T.; Yazaki, S.
2008
On the tangential velocity arising in a crystallinge approximation of evolving plane curves. Zbl 1139.53033
Yazaki, Shigetoshi
2007
Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves. Zbl 1143.35308
Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi
2007
Motion of nonadmissible convex polygons by crystalline curvature. Zbl 1132.53036
Yazaki, Shigetoshi
2007
Asymptotic behavior of solutions to an area-preserving motion by crystalline curvature. Zbl 1139.53032
Yazaki, Shigetoshi
2007
Some results on singularities of solutions to an anisotropic crystalline curvature flow. Zbl 1163.34340
Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi
2005
Two examples of nonconvex self-similar solution curves for a crystalline curvature flow. Zbl 1077.53054
Ishiwata, Tetsuya; Ushijima, Takeo K.; Yagisita, Hiroki; Yazaki, Shigetoshi
2004
Convergence of a crystalline approximation for an area-preserving motion. Zbl 1052.65082
Ushijima, Takeo K.; Yazaki, Shigetoshi
2004
On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion. Zbl 1033.65055
Ishiwata, Tetsuya; Yazaki, Shigetoshi
2003
On an area-preserving crystalline motion. Zbl 1143.37320
Yazaki, Shigetoshi
2002
Asymptotic behavior of solutions to an expanding motion by a negative power of crystalline curvature. Zbl 1032.53059
Yazaki, Shigetoshi
2002
Point-extinction and geometric expansion of solutions to a crystalline motion. Zbl 1192.82077
Yazaki, Shigetoshi
2001
Convergence of a crystalline algorithm for the motion of a closed convex curve by a power of curvature $$V=K^\alpha$$. Zbl 0946.65071
Ushijima, Takeo K.; Yazaki, Shigetoshi
2000
Convergence of a crystalline algorithm for the motion of a closed convex curve by a power of curvature. Zbl 0953.65092
Ushijima, Takeo K.; Yazaki, Shigetoshi
1999
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#### Cited by 58 Authors

 15 Yazaki, Shigetoshi 7 Ishiwata, Tetsuya 6 Ushijima, Takeo K. 5 Beneš, Michal 5 Ševčovič, Daniel 3 Kolář, Miroslav 2 Pauš, Petr 2 Sakakibara, Koya 2 Yagisita, Hiroki 1 Abbasbandy, Saeid 1 Alavi, Majid 1 Alvarez, Luis F. 1 Anada, Kouichi 1 Ben Arous, Gérard 1 Choi, Yongho 1 Cuenca, Carmelo 1 Eichler, Pavel 1 Esclarín, Julio 1 Fučík, Radek 1 Goto, Maika 1 Hirota, Chiaki 1 Imai, Hitoshi 1 Insall, R. H. 1 Ishimura, Naoyuki 1 Kim, Junseok 1 Klinkovský, Jakub 1 Kobayashi, Shunsuke 1 Kuwana, Kazunori 1 Lee, Hyun Geun 1 Lee, Seunggyu Lee 1 Mackenzie, John A. 1 Matsue, Kaname 1 Mazorra, Luis 1 Mikula, Karol 1 Minarčík, Jiří 1 Morel, Jean-Michel 1 Nakamura, Ken-Ichi 1 Nieto Roig, Juan Jose 1 Nolan, Matthew 1 Novaga, Matteo 1 Oberhuber, Tomás 1 Okumura, Makoto 1 Osaki, Koichi 1 Ozawa, Kazufumi 1 Palmer, Bennett 1 Pan, Shengliang 1 Paolini, Maurizio 1 Pauš, Pauš 1 Rowlatt, C. F. 1 Satoh, Hirotoshi 1 Straka, Robert 1 Tannenbaum, Allen Robert 1 Tavakoli, Rouhollah 1 Tomek, Lukáš 1 Uegata, Yasuhide 1 Zeitouni, Ofer 1 Zhang, Yanlong 1 Zhu, Wenxiang
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#### Cited in 24 Serials

 5 Japan Journal of Industrial and Applied Mathematics 4 JSIAM Letters 3 Journal of Computational and Applied Mathematics 3 Journal of Differential Equations 3 Kybernetika 3 Discrete and Continuous Dynamical Systems. Series S 2 Computers & Mathematics with Applications 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 International Journal of Engineering Science 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Chaos, Solitons and Fractals 1 Mathematics and Computers in Simulation 1 Proceedings of the Japan Academy. Series A 1 Applied Mathematics Letters 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Imaging and Vision 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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#### Cited in 14 Fields

 22 Numerical analysis (65-XX) 19 Partial differential equations (35-XX) 19 Differential geometry (53-XX) 10 Ordinary differential equations (34-XX) 8 Mechanics of deformable solids (74-XX) 7 Statistical mechanics, structure of matter (82-XX) 3 Fluid mechanics (76-XX) 2 Difference and functional equations (39-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX)