Edit Profile Ishiwata, Tetsuya Compute Distance To: Compute Author ID: ishiwata.tetsuya Published as: Ishiwata, T.; Ishiwata, Tetsuya Documents Indexed: 30 Publications since 1997, including 1 Book all top 5 Co-Authors 9 single-authored 7 Yazaki, Shigetoshi 3 Anada, Kouichi 3 Tsutsumi, Masayoshi 2 Fuwa, Atsushi 2 Hirota, Chiaki 2 Kumazaki, Kota 2 Ushijima, Takeo K. 1 Beneš, Michal 1 Nagayama, Masaharu 1 Nakamura, Ken-Ichi 1 Ohtsuka, Takeshi 1 Sakamoto, Takashi Okuda 1 Sasaki, Takiko 1 Tamura, Norikazu 1 Tsutomu, Ikeda 1 Yagisita, Hiroki all top 5 Serials 4 Japan Journal of Industrial and Applied Mathematics 4 Discrete and Continuous Dynamical Systems. Series S 3 Discrete and Continuous Dynamical Systems 2 Journal of Math-for-Industry 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Proceedings of the Japan Academy. Series A 1 Journal of Computational Mathematics 1 Mathematica Bohemica 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 RIMS Kokyuroku 1 Discrete and Continuous Dynamical Systems. Series B 1 RIMS Kôkyûroku Bessatsu all top 5 Fields 15 Partial differential equations (35-XX) 12 Differential geometry (53-XX) 10 Mechanics of deformable solids (74-XX) 9 Numerical analysis (65-XX) 8 Ordinary differential equations (34-XX) 6 Statistical mechanics, structure of matter (82-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 16 Publications have been cited 51 times in 30 Documents Cited by ▼ Year ▼ On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion. Zbl 1033.65055Ishiwata, Tetsuya; Yazaki, Shigetoshi 6 2003 Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation. Zbl 1351.35083Anada, Koichi; Ishiwata, Tetsuya 5 2017 Finite difference scheme for the Landau-Lifshitz equation. Zbl 1263.78014Fuwa, Atsushi; Ishiwata, Tetsuya 5 2012 Motion of non-convex polygons by crystalline curvature and almost convexity phenomena. Zbl 1155.53033Ishiwata, Tetsuya 5 2008 Two examples of nonconvex self-similar solution curves for a crystalline curvature flow. Zbl 1077.53054Ishiwata, Tetsuya; Ushijima, Takeo K.; Yagisita, Hiroki; Yazaki, Shigetoshi 5 2004 Regional blow-up of solutions to the initial boundary value problem for \(u_ t=u^ \delta(\Delta u+u)\). Zbl 0883.35068Tsutsumi, Masayoshi; Ishiwata, Tetsuya 4 1997 Motion of polygonal curved fronts by crystalline motion: V-shaped solutions and eventual monotonicity. Zbl 1306.74039Ishiwata, Tetsuya 3 2011 On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect. Zbl 1234.74017Ishiwata, Tetsuya 3 2011 Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves. Zbl 1143.35308Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi 3 2007 A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm. Zbl 1416.65397Anada, Koichi; Ishiwata, Tetsuya; Ushijima, Takeo 2 2018 A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion. Zbl 1282.34042Ishiwata, Tetsuya; Yazaki, Shigetoshi 2 2014 Crystalline motion of spiral-shaped polygonal curves with a tip motion. Zbl 1273.82076Ishiwata, Tetsuya 2 2014 Some results on singularities of solutions to an anisotropic crystalline curvature flow. Zbl 1163.34340Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi 2 2005 Semidiscretization in space of nonlinear degenerate parabolic equations with blow-up of the solutions. Zbl 0971.65083Ishiwata, Tetsuya; Tsutsumi, Masayoshi 2 2000 Asymptotic behavior of blow-up solutions to a degenerate parabolic equation. Zbl 1332.35155Anada, Koichi; Ishiwata, Tetsuya 1 2011 A numerical study of blow-up solutions to \(u_t=u^\delta(\Delta u+\mu u)\). Zbl 0979.65514Ishiwata, Tetsuya; Tsutsumi, Masayoshi 1 1997 A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm. Zbl 1416.65397Anada, Koichi; Ishiwata, Tetsuya; Ushijima, Takeo 2 2018 Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation. Zbl 1351.35083Anada, Koichi; Ishiwata, Tetsuya 5 2017 A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion. Zbl 1282.34042Ishiwata, Tetsuya; Yazaki, Shigetoshi 2 2014 Crystalline motion of spiral-shaped polygonal curves with a tip motion. Zbl 1273.82076Ishiwata, Tetsuya 2 2014 Finite difference scheme for the Landau-Lifshitz equation. Zbl 1263.78014Fuwa, Atsushi; Ishiwata, Tetsuya 5 2012 Motion of polygonal curved fronts by crystalline motion: V-shaped solutions and eventual monotonicity. Zbl 1306.74039Ishiwata, Tetsuya 3 2011 On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect. Zbl 1234.74017Ishiwata, Tetsuya 3 2011 Asymptotic behavior of blow-up solutions to a degenerate parabolic equation. Zbl 1332.35155Anada, Koichi; Ishiwata, Tetsuya 1 2011 Motion of non-convex polygons by crystalline curvature and almost convexity phenomena. Zbl 1155.53033Ishiwata, Tetsuya 5 2008 Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves. Zbl 1143.35308Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi 3 2007 Some results on singularities of solutions to an anisotropic crystalline curvature flow. Zbl 1163.34340Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi 2 2005 Two examples of nonconvex self-similar solution curves for a crystalline curvature flow. Zbl 1077.53054Ishiwata, Tetsuya; Ushijima, Takeo K.; Yagisita, Hiroki; Yazaki, Shigetoshi 5 2004 On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion. Zbl 1033.65055Ishiwata, Tetsuya; Yazaki, Shigetoshi 6 2003 Semidiscretization in space of nonlinear degenerate parabolic equations with blow-up of the solutions. Zbl 0971.65083Ishiwata, Tetsuya; Tsutsumi, Masayoshi 2 2000 Regional blow-up of solutions to the initial boundary value problem for \(u_ t=u^ \delta(\Delta u+u)\). Zbl 0883.35068Tsutsumi, Masayoshi; Ishiwata, Tetsuya 4 1997 A numerical study of blow-up solutions to \(u_t=u^\delta(\Delta u+\mu u)\). Zbl 0979.65514Ishiwata, Tetsuya; Tsutsumi, Masayoshi 1 1997 all cited Publications top 5 cited Publications all top 5 Cited by 39 Authors 9 Ishiwata, Tetsuya 5 Yazaki, Shigetoshi 3 Giga, Yoshikazu 3 Matsue, Kaname 2 Anada, Kouichi 2 Chen, Jingrun 2 Giga, Mi-Ho 2 Ichida, Yu 2 Kim, Eugenia 2 Sakamoto, Takashi Okuda 2 Seki, Yukihiro 2 Ushijima, Takeo K. 2 Xie, Changjian 1 Biernat, Paweł 1 Cho, Chien-Hong 1 Du, Rui 1 García-Cervera, Carlos J. 1 Ghergu, Marius 1 Hirota, Chiaki 1 Kumazaki, Kota 1 Li, Panchi 1 Lipnikov, Konstantin N. 1 Liu, Qiang 1 Novaga, Matteo 1 Ohtsuka, Takeshi 1 Okamoto, Hisashi 1 Ozawa, Kazufumi 1 Paolini, Maurizio 1 Požár, Norbert 1 Takayasu, Akitoshi 1 Tsai, Yen-Hsi Richard 1 Wang, Cheng 1 Wang, Xiao-Ping 1 Wilkening, Jon A. 1 Winkler, Michael 1 Yagisita, Hiroki 1 Yao, Zhengan 1 Zhou, Wenshu 1 Zhou, Zhennan all top 5 Cited in 21 Serials 3 Journal of Computational Physics 3 Journal of Differential Equations 3 Japan Journal of Industrial and Applied Mathematics 2 Journal of Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series S 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Journal of Functional Analysis 1 Kybernetika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 ETNA. Electronic Transactions on Numerical Analysis 1 JSIAM Letters 1 Journal of Elliptic and Parabolic Equations all top 5 Cited in 10 Fields 18 Partial differential equations (35-XX) 10 Numerical analysis (65-XX) 9 Ordinary differential equations (34-XX) 8 Differential geometry (53-XX) 7 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Optics, electromagnetic theory (78-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) Citations by Year