Rchr
J-GLOBAL ID:200901063147949669
Update date: Jan. 30, 2024
Ishiwata Tetsuya
イシワタ テツヤ | Ishiwata Tetsuya
Affiliation and department:
Job title:
Associate Professor
Research field (2):
Applied mathematics and statistics
, Basic mathematics
Research keywords (13):
界面の運動
, 応用数学
, 数値解析
, 応用解析
, 非線形現象
, 微分方程式論
, interface dynamics
, singularity
, numerical study
, analysis
, ODE
, PDE
, Nonlinear problem
Research theme for competitive and other funds (29):
- 2022 - 2025 Development of a foundation for discrete complex analysis
- 2021 - 2025 Development of mathematical and computer-assisted analysis towards comprehensive description of finite-time singularities
- 2020 - 2025 Variational problems and geometric analysis for hypersurfaces with singular points, and novel development of discrete surface theory
- 2019 - 2024 Systematical geometric analysis and asymptotic analysis for evolution equations
- 2019 - 2023 タイムラグが誘導する解の特異性形成の機構解明と解のダイナミクスの数理解析
- 2016 - 2019 Mathematical and computational analysis of moving boundary problems arising in snow and ice phenomena
- 2015 - 2019 Development of mathematical analysis for interface motions of crystals
- 2015 - 2018 Development of numerical analysis of blow-up phenomena - blow-up curve, regional blow-up, multiple blow-up -
- 2013 - 2016 Research on Evolution Equations Describing Anomalous Diffusion
- 2012 - 2015 Geometric structure-preserving finite difference method for vector-valued evolution equation
- 2012 - 2015 Studies on approximate problems, regularity and singularity for mean curvature flow
- 2012 - 2015 Mathematical analysis of interfacial dynamics in non-periodic environments and its applications
- 2011 - 2015 An investigation of the continuation problem for the nonlinear Schroedinger equations beyond the singularity
- 2009 - 2011 Mathematical analysis for interface dynamics of crystal
- 2008 - 2010 Mathematical modeling for a nonlinear phenomena appearing engineering field and its analysis
- 2008 - 2010 Studies on approximation, regularity and singularity for mean curvature flow
- 2007 - 2009 A study of direct methods for moving boundary problems and its applications
- 2006 - 2009 Development of Distance Educational System for Graduate School Using Integrated Media Type LMS
- 2006 - 2008 Mathematical research for the dynamics of the solutions of interface motions
- 2004 - 2006 Analysis of a non-linear phenomenon mainly on the issue of shape-memory alloy
- 2003 - 2005 界面運動方程式および関連する爆発問題の解の特異性の数理的研究
- 2003 - 2003 反応拡散系理論と流体理論の融合により展開される新しい非線形問題の調査
- 2002 - 2003 Analysis of nonlinear phenomena describing hysteresis operators
- 2002 - 2003 Study of integral operators on function spaces.
- 結晶界面の運動の数理的解析
- 非線形問題に現れる特異点の性質の解明
- 非線形問題の解の挙動の研究
- Interface motion of grain boundary of cyrstal.
- Asymptotic behaviour of solutions to nonlinear PDE.
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Papers (70):
-
Koichi Anada, Tetsuya Ishiwata, Takeo Ushijima. Upper estimates for blow-up solutions of a quasi-linear parabolic equation. Japan Journal of Industrial and Applied Mathematics. 2023. 41. 381-405
-
長瀬 准平, 石渡 哲哉. 深層ニューラルネットモデルにおけるReLU関数とk区分線型関数の互換性について. 情報処理学会論文誌. 2023. 64. 6. 1074-1082
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Keisuke Abiko, Tetsuya Ishiwata. Positivity-preserving numerical schemes for stochastic differential equations. Japan Journal of Industrial and Applied Mathematics. 2022. 39. 3. 1095-1108
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Tetsuya Ishiwata, Yukihiko Nakata. A note on blow-up solutions for a scalar differential equation with a discrete delay. Japan Journal of Industrial and Applied Mathematics. 2022. 39. 3. 959-971
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Koichi Anada, Tetsuya Ishiwata, Takeo Ushijima. Asymptotic expansions of traveling wave solutions for a quasilinear parabolic equation. Japan Journal of Industrial and Applied Mathematics. 2022
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MISC (3):
Lectures and oral presentations (132):
-
時間遅れと解の爆発
(時間遅れ系に関する研究集会 2023)
-
非整数階移流方程式に対する差分スキームについて
(第3回はこだて現象数理研究集会 2023)
-
Monotonicity-preserving numerical scheme for fractional advection equation,
(An afternoon on delay differential equations 2023)
-
確率微分方程式の解の正値性保存スキーム,
(RIMS共同研究(公開型)「新時代における高性能科学技術計算法の探究」 2023)
-
最近やっている"性質再現"離散化の研究
(2023 軽井沢グラフと解析研究集会 2023)
more...
Works (6):
-
界面運動に現れる特異点の数理的解析
2000 - 2002
-
Asymptotic profiles of solution to an anisotropic motion by a power of crystalline curvature.
2000 - 2001
-
燃焼合成反応の数値的研究
1999 - 2001
-
Numerical studies for Self-propagating High-temparature synthesis
1999 - 2001
-
移流項をもつ熱方程式の爆発解の解析
2000 -
more...
Professional career (2):
- (BLANK) (Waseda University)
- (BLANK) (Waseda University)
Work history (3):
- 2015/04 - 現在 Shibaura Institute of Technology Department of Mathematical Sciences, College of Systems Engineering and Science
- 2011/04 - 2015/03 Shibaura Institute of Technology Department of Mathematical Sciences, College of Systems Engineering and Science
- 2001/04 - 2009/03 Gifu University
Awards (1):
- 2023/07 - 日本応用数理学会 論文賞 JJIAM部門 Delay-induced blow-up in a planar oscillation model
Association Membership(s) (2):
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