Edit Profile (opens in new tab) Ishiwata, Tetsuya Co-Author Distance Author ID: ishiwata.tetsuya Published as: Ishiwata, Tetsuya; Ishiwata, T. Documents Indexed: 38 Publications since 1997 4 Contributions as Editor Co-Authors: 22 Co-Authors with 33 Joint Publications 301 Co-Co-Authors all top 5 Co-Authors 9 single-authored 9 Yazaki, Shigetoshi 6 Anada, Kouichi 4 Tsutsumi, Masayoshi 4 Ushijima, Takeo K. 3 Beneš, Michal 3 Nakata, Yukihiko 2 Fuwa, Atsushi 2 Hirota, Chiaki 2 Kimura, Masato 2 Kumazaki, Kota 2 Ohtsuka, Takeshi 2 Sasaki, Takiko 1 Abiko, Keisuke 1 Eremin, Alexey S. 1 Ishiwata, Emiko 1 Nagayama, Masaharu 1 Nakamura, Ken-Ichi 1 Sakamoto, Takashi Okuda 1 Tamura, Norikazu 1 Tsutomu, Ikeda 1 Yagisita, Hiroki 1 Yang, Young Chol all top 5 Serials 11 Japan Journal of Industrial and Applied Mathematics 7 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 1 IAENG. International Journal of Applied Mathematics all top 5 Fields 20 Partial differential equations (35-XX) 14 Ordinary differential equations (34-XX) 13 Differential geometry (53-XX) 13 Numerical analysis (65-XX) 10 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 3 Fluid mechanics (76-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-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 Open 26 Publications have been cited 91 times in 52 Documents Cited by ▼ Year ▼ Finite difference scheme for the Landau-Lifshitz equation. Zbl 1263.78014 Fuwa, Atsushi; Ishiwata, Tetsuya 9 2012 Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation. Zbl 1351.35083 Anada, Koichi; Ishiwata, Tetsuya 8 2017 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 Motion of non-convex polygons by crystalline curvature and almost convexity phenomena. Zbl 1155.53033 Ishiwata, Tetsuya 7 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 On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect. Zbl 1234.74017 Ishiwata, Tetsuya 5 2011 Regional blow-up of solutions to the initial boundary value problem for \(u_ t=u^ \delta(\Delta u+u)\). Zbl 0883.35068 Tsutsumi, Masayoshi; Ishiwata, Tetsuya 5 1997 Motion of polygonal curved fronts by crystalline motion: V-shaped solutions and eventual monotonicity. Zbl 1306.74039 Ishiwata, Tetsuya 5 2011 Crystalline motion of spiral-shaped polygonal curves with a tip motion. Zbl 1273.82076 Ishiwata, Tetsuya 5 2014 A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm. Zbl 1416.65397 Anada, Koichi; Ishiwata, Tetsuya; Ushijima, Takeo 4 2018 Semidiscretization in space of nonlinear degenerate parabolic equations with blow-up of the solutions. Zbl 0971.65083 Ishiwata, Tetsuya; Tsutsumi, Masayoshi 4 2000 Evolution of a spiral-shaped polygonal curve by the crystalline curvature flow with a pinned tip. Zbl 1423.34023 Ishiwata, Tetsuya; Ohtsuka, Takeshi 4 2019 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 Numerical analysis of an ODE and a level set methods for evolving spirals by crystalline eikonal-curvature flow. Zbl 1467.65068 Ishiwata, Tetsuya; Ohtsuka, Takeshi 3 2021 Some results on singularities of solutions to an anisotropic crystalline curvature flow. Zbl 1163.34340 Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi 2 2005 A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion. Zbl 1282.34042 Ishiwata, Tetsuya; Yazaki, Shigetoshi 2 2014 Delay-induced blow-up in a planar oscillation model. Zbl 1491.34077 Eremin, Alexey; Ishiwata, Emiko; Ishiwata, Tetsuya; Nakata, Yukihiko 2 2021 Asymptotic behavior of blow-up solutions to a degenerate parabolic equation. Zbl 1332.35155 Anada, Koichi; Ishiwata, Tetsuya 2 2011 A numerical study of blow-up solutions to \(u_t=u^\delta(\Delta u+\mu u)\). Zbl 0979.65514 Ishiwata, Tetsuya; Tsutsumi, Masayoshi 1 1997 Structure-preserving finite difference scheme for vortex filament motion. Zbl 1278.76075 Ishiwata, Tetsuya; Kumazaki, Kota 1 2012 Numerical and mathematical analysis of blow-up problems for a stochastic differential equation. Zbl 1479.60114 Ishiwata, Tetsuya; Yang, Young Chol 1 2021 Asymptotic expansions of traveling wave solutions for a quasilinear parabolic equation. Zbl 1503.35056 Anada, Koichi; Ishiwata, Tetsuya; Ushijima, Takeo 1 2022 A note on blow-up solutions for a scalar differential equation with a discrete delay. Zbl 1514.34119 Ishiwata, Tetsuya; Nakata, Yukihiko 1 2022 The blow-up curve of solutions to one dimensional nonlinear wave equations with the Dirichlet boundary conditions. Zbl 1455.35029 Ishiwata, Tetsuya; Sasaki, Takiko 1 2020 Some features for blow-up solutions of a nonlinear parabolic equation. Zbl 1512.35371 Anada, Koichi; Ishiwata, Tetsuya 1 2015 The blow-up curve of solutions for semilinear wave equations with Dirichlet boundary conditions in one space dimension. Zbl 1469.35058 Ishiwata, Tetsuya; Sasaki, Takiko 1 2021 Asymptotic expansions of traveling wave solutions for a quasilinear parabolic equation. Zbl 1503.35056 Anada, Koichi; Ishiwata, Tetsuya; Ushijima, Takeo 1 2022 A note on blow-up solutions for a scalar differential equation with a discrete delay. Zbl 1514.34119 Ishiwata, Tetsuya; Nakata, Yukihiko 1 2022 Numerical analysis of an ODE and a level set methods for evolving spirals by crystalline eikonal-curvature flow. Zbl 1467.65068 Ishiwata, Tetsuya; Ohtsuka, Takeshi 3 2021 Delay-induced blow-up in a planar oscillation model. Zbl 1491.34077 Eremin, Alexey; Ishiwata, Emiko; Ishiwata, Tetsuya; Nakata, Yukihiko 2 2021 Numerical and mathematical analysis of blow-up problems for a stochastic differential equation. Zbl 1479.60114 Ishiwata, Tetsuya; Yang, Young Chol 1 2021 The blow-up curve of solutions for semilinear wave equations with Dirichlet boundary conditions in one space dimension. Zbl 1469.35058 Ishiwata, Tetsuya; Sasaki, Takiko 1 2021 The blow-up curve of solutions to one dimensional nonlinear wave equations with the Dirichlet boundary conditions. Zbl 1455.35029 Ishiwata, Tetsuya; Sasaki, Takiko 1 2020 Evolution of a spiral-shaped polygonal curve by the crystalline curvature flow with a pinned tip. Zbl 1423.34023 Ishiwata, Tetsuya; Ohtsuka, Takeshi 4 2019 A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm. Zbl 1416.65397 Anada, Koichi; Ishiwata, Tetsuya; Ushijima, Takeo 4 2018 Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation. Zbl 1351.35083 Anada, Koichi; Ishiwata, Tetsuya 8 2017 Some features for blow-up solutions of a nonlinear parabolic equation. Zbl 1512.35371 Anada, Koichi; Ishiwata, Tetsuya 1 2015 Crystalline motion of spiral-shaped polygonal curves with a tip motion. Zbl 1273.82076 Ishiwata, Tetsuya 5 2014 A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion. Zbl 1282.34042 Ishiwata, Tetsuya; Yazaki, Shigetoshi 2 2014 Finite difference scheme for the Landau-Lifshitz equation. Zbl 1263.78014 Fuwa, Atsushi; Ishiwata, Tetsuya 9 2012 Structure-preserving finite difference scheme for vortex filament motion. Zbl 1278.76075 Ishiwata, Tetsuya; Kumazaki, Kota 1 2012 On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect. Zbl 1234.74017 Ishiwata, Tetsuya 5 2011 Motion of polygonal curved fronts by crystalline motion: V-shaped solutions and eventual monotonicity. Zbl 1306.74039 Ishiwata, Tetsuya 5 2011 Asymptotic behavior of blow-up solutions to a degenerate parabolic equation. Zbl 1332.35155 Anada, Koichi; Ishiwata, Tetsuya 2 2011 Motion of non-convex polygons by crystalline curvature and almost convexity phenomena. Zbl 1155.53033 Ishiwata, Tetsuya 7 2008 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 Some results on singularities of solutions to an anisotropic crystalline curvature flow. Zbl 1163.34340 Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi 2 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 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 Semidiscretization in space of nonlinear degenerate parabolic equations with blow-up of the solutions. Zbl 0971.65083 Ishiwata, Tetsuya; Tsutsumi, Masayoshi 4 2000 Regional blow-up of solutions to the initial boundary value problem for \(u_ t=u^ \delta(\Delta u+u)\). Zbl 0883.35068 Tsutsumi, Masayoshi; Ishiwata, Tetsuya 5 1997 A numerical study of blow-up solutions to \(u_t=u^\delta(\Delta u+\mu u)\). Zbl 0979.65514 Ishiwata, Tetsuya; Tsutsumi, Masayoshi 1 1997 all cited Publications top 5 cited Publications all top 5 Cited by 69 Authors 15 Ishiwata, Tetsuya 5 Chen, Jingrun 5 Giga, Yoshikazu 5 Yazaki, Shigetoshi 4 Anada, Kouichi 4 Ushijima, Takeo K. 3 Du, Rui 3 Giga, Mi-Ho 3 Ichida, Yu 3 Matsue, Kaname 3 Wang, Cheng 3 Xie, Changjian 2 Kim, Eugenia 2 Li, Panchi 2 Ohtsuka, Takeshi 2 Požár, Norbert 2 Sakamoto, Takashi Okuda 2 Sasaki, Takiko 2 Seki, Yukihiro 1 Abiko, Keisuke 1 Ahmad, Bashir 1 Ahmadov, Mahmud A. 1 Al-saedi, Ahmed Eid Salem 1 Beneš, Michal 1 Biernat, Paweł 1 Chen, Yangquan 1 Cho, Chien-Hong 1 Diblík, Josef 1 Domokos, Gábor 1 Fehér, Eszter 1 Ganon, Ardjouma 1 García-Cervera, Carlos J. 1 Ghergu, Marius 1 Hirota, Chiaki 1 Kirane, Mokhtar 1 Kolář, Miroslav 1 Krauskopf, Bernd 1 Kumazaki, Kota 1 Kuroda, Ryo 1 Lian, Zhigang 1 Lipnikov, Konstantin N. 1 Liu, Qiang 1 Ma, Zetao 1 Nakanishi, Toru 1 Nakata, Yukihiko 1 Novaga, Matteo 1 Ochiai, Yusuke 1 Okamoto, Hisashi 1 Ozawa, Kazufumi 1 Paolini, Maurizio 1 Růžičková, Miroslava 1 Saito, Norikazu 1 Ševčovič, Daniel 1 Soltanov, Kamal N. 1 Sun, Yifei 1 Taha, Mathurin M. 1 Takayasu, Akitoshi 1 Touré, Augustin K. 1 Tsai, Yen-Hsi Richard 1 Wang, Songhua 1 Wang, Xiaoliu 1 Wang, Xiaoping 1 Wang, Yaping 1 Wilkening, Jon A. 1 Winkler, Michael 1 Yagisita, Hiroki 1 Yao, Zhengan 1 Zhou, Wenshu 1 Zhou, Zhennan all top 5 Cited in 31 Serials 9 Japan Journal of Industrial and Applied Mathematics 4 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Computational Physics 3 Journal of Differential Equations 3 Discrete and Continuous Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Computational and Applied Mathematics 2 Advances in Nonlinear Analysis 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 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Mathematical Problems in Engineering 1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 1 Bulletin of Mathematical Sciences 1 JSIAM Letters 1 Journal of Computational Dynamics 1 Advances in Mathematics. Scientific Journal 1 Journal of Elliptic and Parabolic Equations all top 5 Cited in 13 Fields 34 Partial differential equations (35-XX) 20 Numerical analysis (65-XX) 15 Ordinary differential equations (34-XX) 13 Differential geometry (53-XX) 8 Mechanics of deformable solids (74-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Optics, electromagnetic theory (78-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year