Edit Profile (opens in new tab) Yazaki, Shigetoshi Co-Author Distance Author ID: yazaki.shigetoshi Published as: Yazaki, Shigetoshi; Yazaki, S. Documents Indexed: 42 Publications since 1999, including 2 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 25 Co-Authors with 41 Joint Publications 322 Co-Co-Authors all top 5 Co-Authors 7 single-authored 11 Beneš, Michal 9 Ishiwata, Tetsuya 8 Kimura, Masato 5 Kobayashi, Shunsuke 5 Ushijima, Takeo K. 4 Sakakibara, Koya 4 Ševčovič, Daniel 4 Uegata, Yasuhide 3 Tsujikawa, Tohru 2 Goto, Maika 2 Hirota, Chiaki 2 Kuwana, Kazunori 2 Nakamura, Ken-Ichi 2 Pauš, Petr 2 Sakamoto, Takashi Okuda 2 Shimoji, Yusaku 1 Gion, Hiromu 1 Knobloch, Petr 1 Kolář, Miroslav 1 Osaki, Koichi 1 Saito, Yasuhisa 1 Satoh, Hirotoshi 1 Tagami, Daisuke 1 Tani, Hisasi 1 Yagisita, Hiroki all top 5 Serials 8 JSIAM Letters 5 Discrete and Continuous Dynamical Systems. Series S 3 Kybernetika 3 Japan Journal of Industrial and Applied Mathematics 2 Journal of Computational and Applied Mathematics 2 Interfaces and Free Boundaries 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 Mathematica Bohemica 1 Advances in Mathematical Sciences and Applications 1 Calculus of Variations and Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Computational Methods in Applied Mathematics 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 RIMS Kôkyûroku Bessatsu 1 IAENG. International Journal of Applied Mathematics all top 5 Fields 24 Partial differential equations (35-XX) 24 Numerical analysis (65-XX) 17 Differential geometry (53-XX) 11 Ordinary differential equations (34-XX) 10 Fluid mechanics (76-XX) 7 General and overarching topics; collections (00-XX) 6 Mechanics of deformable solids (74-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 136 times in 69 Documents Cited by ▼ Year ▼ Evolution of plane curves with a curvature adjusted tangential velocity. Zbl 1291.35109 Ševčovič, Daniel; Yazaki, Shigetoshi 15 2011 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 13 2000 Computational studies of non-local anisotropic Allen-Cahn equation. Zbl 1249.35153 Beneš, M.; Yazaki, S.; Kimura, M. 12 2011 On a gradient flow of plane curves minimizing the anisoperimetric ratio. Zbl 1512.49041 Ševčovič, Daniel; Yazaki, Shigetoshi 8 2013 Convergence of a crystalline approximation for an area-preserving motion. Zbl 1052.65082 Ushijima, Takeo K.; Yazaki, Shigetoshi 7 2004 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 7 2004 Computational and qualitative aspects of motion of plane curves with a curvature adjusted tangential velocity. Zbl 1255.35148 Ševčovič, Daniel; Yazaki, Shigetoshi 7 2012 On an area-preserving crystalline motion. Zbl 1143.37320 Yazaki, Shigetoshi 6 2002 Application of a curvature adjusted method in image segmentation. Zbl 1170.53040 Beneš, M.; Kimura, M.; Pauš, P.; Ševčovič, D.; Tsujikawa, T.; Yazaki, S. 6 2008 On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion. Zbl 1033.65055 Ishiwata, Tetsuya; Yazaki, Shigetoshi 6 2003 Motion of nonadmissible convex polygons by crystalline curvature. Zbl 1132.53036 Yazaki, Shigetoshi 5 2007 A simple and fast numerical method for solving flame/smoldering evolution equations. Zbl 1437.65096 Goto, Maika; Kuwana, Kazunori; Yazaki, Shigetoshi 5 2018 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 4 1999 Point-extinction and geometric expansion of solutions to a crystalline motion. Zbl 1192.82077 Yazaki, Shigetoshi 4 2001 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 3 2007 On the tangential velocity arising in a crystallinge approximation of evolving plane curves. Zbl 1139.53033 Yazaki, Shigetoshi 3 2007 Second order numerical scheme for motion of polygonal curves with constant area speed. Zbl 1189.65189 Beneš, Michal; Kimura, Masato; Yazaki, Shigetoshi 2 2009 Some results on singularities of solutions to an anisotropic crystalline curvature flow. Zbl 1163.34340 Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi 2 2005 On invariance of schemes in the method of fundamental solutions. Zbl 1375.65170 Sakakibara, Koya; Yazaki, Shigetoshi 2 2017 Asymptotic behavior of solutions to an expanding motion by a negative power of crystalline curvature. Zbl 1032.53059 Yazaki, Shigetoshi 2 2002 Towards modelling spiral motion of open plane curves. Zbl 1322.53009 Osaki, Koichi; Satoh, Hirotoshi; Yazaki, Shigetoshi 2 2015 Polygonal Hele-Shaw problem with surface tension. Zbl 1302.35464 Kimura, Masato; Tagami, Daisuke; Yazaki, Shigetoshi 2 2013 A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion. Zbl 1282.34042 Ishiwata, Tetsuya; Yazaki, Shigetoshi 2 2014 A method how to determine parameters arising in a smoldering evolution equation by image segmentation for experiment’s movies. Zbl 1462.35459 Goto, Maika; Kuwana, Kazunori; Uegata, Yasuhide; Yazaki, Shigetoshi 2 2021 Analysis of Kuramoto-Sivashinsky model of flame/smoldering front by means of curvature driven flow. Zbl 1475.80006 Kolář, Miroslav; Kobayashi, Shunsuke; Uegata, Yasuhide; Yazaki, Shigetoshi; Beneš, Michal 2 2021 Asymptotic behavior of solutions to an area-preserving motion by crystalline curvature. Zbl 1139.53032 Yazaki, Shigetoshi 1 2007 A numerical scheme for the Hele-Shaw flow with a time-dependent gap by a curvature adjusted method. Zbl 1421.76165 Yazaki, Shigetoshi 1 2015 Exact solution for dislocation bowing and a posteriori numerical technique for dislocation touching-splitting. Zbl 1461.35143 Pauš, Petr; Yazaki, Shigetoshi 1 2015 Method of fundamental solutions with weighted average condition and dummy points. Zbl 1412.65236 Sakakibara, Koya; Yazaki, Shigetoshi 1 2017 The existence of intrinsic rotating wave solutions of a flame/smoldering-front evolution equation. Zbl 1447.35099 Kobayashi, Shunsuke; Uegata, Yasuhide; Yazaki, Shigetoshi 1 2020 Segmentation of color images using mean curvature flow and parametric curves. Zbl 1477.68519 Pauš, Petr; Yazaki, Shigetoshi 1 2021 A simple numerical method for Hele-Shaw type problems by the method of fundamental solutions. Zbl 1513.76075 Sakakibara, Koya; Shimoji, Yusaku; Yazaki, Shigetoshi 1 2022 A simple numerical method for Hele-Shaw type problems by the method of fundamental solutions. Zbl 1513.76075 Sakakibara, Koya; Shimoji, Yusaku; Yazaki, Shigetoshi 1 2022 A method how to determine parameters arising in a smoldering evolution equation by image segmentation for experiment’s movies. Zbl 1462.35459 Goto, Maika; Kuwana, Kazunori; Uegata, Yasuhide; Yazaki, Shigetoshi 2 2021 Analysis of Kuramoto-Sivashinsky model of flame/smoldering front by means of curvature driven flow. Zbl 1475.80006 Kolář, Miroslav; Kobayashi, Shunsuke; Uegata, Yasuhide; Yazaki, Shigetoshi; Beneš, Michal 2 2021 Segmentation of color images using mean curvature flow and parametric curves. Zbl 1477.68519 Pauš, Petr; Yazaki, Shigetoshi 1 2021 The existence of intrinsic rotating wave solutions of a flame/smoldering-front evolution equation. Zbl 1447.35099 Kobayashi, Shunsuke; Uegata, Yasuhide; Yazaki, Shigetoshi 1 2020 A simple and fast numerical method for solving flame/smoldering evolution equations. Zbl 1437.65096 Goto, Maika; Kuwana, Kazunori; Yazaki, Shigetoshi 5 2018 On invariance of schemes in the method of fundamental solutions. Zbl 1375.65170 Sakakibara, Koya; Yazaki, Shigetoshi 2 2017 Method of fundamental solutions with weighted average condition and dummy points. Zbl 1412.65236 Sakakibara, Koya; Yazaki, Shigetoshi 1 2017 Towards modelling spiral motion of open plane curves. Zbl 1322.53009 Osaki, Koichi; Satoh, Hirotoshi; Yazaki, Shigetoshi 2 2015 A numerical scheme for the Hele-Shaw flow with a time-dependent gap by a curvature adjusted method. Zbl 1421.76165 Yazaki, Shigetoshi 1 2015 Exact solution for dislocation bowing and a posteriori numerical technique for dislocation touching-splitting. Zbl 1461.35143 Pauš, Petr; Yazaki, Shigetoshi 1 2015 A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion. Zbl 1282.34042 Ishiwata, Tetsuya; Yazaki, Shigetoshi 2 2014 On a gradient flow of plane curves minimizing the anisoperimetric ratio. Zbl 1512.49041 Ševčovič, Daniel; Yazaki, Shigetoshi 8 2013 Polygonal Hele-Shaw problem with surface tension. Zbl 1302.35464 Kimura, Masato; Tagami, Daisuke; Yazaki, Shigetoshi 2 2013 Computational and qualitative aspects of motion of plane curves with a curvature adjusted tangential velocity. Zbl 1255.35148 Ševčovič, Daniel; Yazaki, Shigetoshi 7 2012 Evolution of plane curves with a curvature adjusted tangential velocity. Zbl 1291.35109 Ševčovič, Daniel; Yazaki, Shigetoshi 15 2011 Computational studies of non-local anisotropic Allen-Cahn equation. Zbl 1249.35153 Beneš, M.; Yazaki, S.; Kimura, M. 12 2011 Second order numerical scheme for motion of polygonal curves with constant area speed. Zbl 1189.65189 Beneš, Michal; Kimura, Masato; Yazaki, Shigetoshi 2 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. 6 2008 Motion of nonadmissible convex polygons by crystalline curvature. Zbl 1132.53036 Yazaki, Shigetoshi 5 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 3 2007 On the tangential velocity arising in a crystallinge approximation of evolving plane curves. Zbl 1139.53033 Yazaki, Shigetoshi 3 2007 Asymptotic behavior of solutions to an area-preserving motion by crystalline curvature. Zbl 1139.53032 Yazaki, Shigetoshi 1 2007 Some results on singularities of solutions to an anisotropic crystalline curvature flow. Zbl 1163.34340 Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi 2 2005 Convergence of a crystalline approximation for an area-preserving motion. Zbl 1052.65082 Ushijima, Takeo K.; Yazaki, Shigetoshi 7 2004 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 7 2004 On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion. Zbl 1033.65055 Ishiwata, Tetsuya; Yazaki, Shigetoshi 6 2003 On an area-preserving crystalline motion. Zbl 1143.37320 Yazaki, Shigetoshi 6 2002 Asymptotic behavior of solutions to an expanding motion by a negative power of crystalline curvature. Zbl 1032.53059 Yazaki, Shigetoshi 2 2002 Point-extinction and geometric expansion of solutions to a crystalline motion. Zbl 1192.82077 Yazaki, Shigetoshi 4 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 13 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 4 1999 all cited Publications top 5 cited Publications all top 5 Cited by 98 Authors 21 Yazaki, Shigetoshi 7 Beneš, Michal 7 Ishiwata, Tetsuya 6 Ševčovič, Daniel 6 Ushijima, Takeo K. 5 Kolář, Miroslav 5 Sakakibara, Koya 4 Mikula, Karol 3 Kobayashi, Shunsuke 3 Lee, Hyun Geun 3 Pauš, Petr 3 Uegata, Yasuhide 2 Giga, Yoshikazu 2 Goto, Maika 2 Kuwana, Kazunori 2 Lee, June-Yub 2 Pan, Shengliang 2 Shin, Jaemin 2 Tomek, Lukáš 2 Wang, Xiaoliu 2 Yagisita, Hiroki 2 Yang, Yunlong 1 Abbasbandy, Saeid 1 Akers, Benjamin F. 1 Alavi, Majid 1 Ambrose, David M. 1 Anada, Kouichi 1 Balazovjech, Martin 1 Basara, Branislav 1 Ben Arous, Gérard 1 Beran, Branislav 1 Choi, Yongho 1 Cuenca, Carmelo 1 Dai, Weizhong 1 Eichler, Pavel 1 Erdélyi, Ján 1 Esclarín, Julio 1 Fang, Jianbo 1 Frolkovič, Peter 1 Fučík, Radek 1 Gavhale, Siddharth 1 Giga, Mi-Ho 1 Guo, Feng 1 Hahn, Jooyoung 1 Hirota, Chiaki 1 Honti, Richard 1 Húska, Martin 1 Imai, Hitoshi 1 Insall, R. H. 1 Ishimura, Naoyuki 1 Jiang, Wei 1 Kim, Junseok 1 Klinkovský, Jakub 1 Koga, Kazuki 1 Kuroda, Ryo 1 Lee, Seunggyu 1 Li, Ya-Rui 1 Li, Yifei 1 Mackenzie, J. A. 1 Mao, Yueyue 1 Matsue, Kaname 1 Mazorra, Luis 1 Medl’a, Matej 1 Minarčík, Jiří 1 Miyatake, Yuto 1 Morel, Jean-Michel 1 Morigi, Serena 1 Nakamura, Ken-Ichi 1 Nakamura, Kohei 1 Nieto Roig, Juan Jose 1 Novaga, Matteo 1 Oberhuber, Tomás 1 Ochiai, Yusuke 1 Okumura, Makoto 1 Osaki, Koichi 1 Ozawa, Kazufumi 1 Palmer, Bennett 1 Paolini, Maurizio 1 Pauš, Pauš 1 Pei, Lifang 1 Požár, Norbert 1 Priesching, Peter 1 Rowlatt, C. F. 1 Satoh, Hirotoshi 1 Shimoji, Yusaku 1 Straka, Robert 1 Su, Chunmei 1 Suárez-Serrato, Pablo 1 Švadlenka, Karel 1 Tannenbaum, Allen Robert 1 Tavakoli, Rouhollah 1 Velázquez Richards, E. I. 1 Wang, Yaping 1 Zeitouni, Ofer 1 Zhang, Ganghui 1 Zhang, Yanlong 1 Zhao, Tianyu 1 Zhu, Wenxiang all top 5 Cited in 36 Serials 7 Japan Journal of Industrial and Applied Mathematics 6 Discrete and Continuous Dynamical Systems. Series S 5 Journal of Differential Equations 5 JSIAM Letters 3 Journal of Computational and Applied Mathematics 3 Kybernetika 2 Computers & Mathematics with Applications 2 Journal of Computational Physics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Applied Mathematics Letters 2 Journal of Scientific Computing 2 Applications of Mathematics 2 SIAM Journal on Scientific Computing 2 Discrete and Continuous Dynamical Systems 1 International Journal of Engineering Science 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Mathematics and Computers in Simulation 1 Proceedings of the Japan Academy. Series A 1 SIAM Journal on Numerical Analysis 1 Numerical Methods for Partial Differential Equations 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Imaging and Vision 1 Calculus of Variations and Partial Differential Equations 1 Computational and Applied Mathematics 1 The ANZIAM Journal 1 Advances in Geometry 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bulletin of Mathematical Sciences 1 Advances in Nonlinear Analysis all top 5 Cited in 14 Fields 41 Numerical analysis (65-XX) 37 Partial differential equations (35-XX) 30 Differential geometry (53-XX) 11 Ordinary differential equations (34-XX) 11 Mechanics of deformable solids (74-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 1 Real functions (26-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) Citations by Year