Rchr

J-GLOBAL ID：200901019056519913 Update date: Jan. 31, 2024

Nishida Takaaki

ニシダタカアキ | Nishida Takaaki

Affiliation and department：

Research field (1)： Mathematical analysis

Research keywords (6)：計算機援用解析 , 非線形偏微分方程式論 , 解析学 , Computer Assisted Analysis , Nonlinear Partial Differential Equations , Analysis

Research theme for competitive and other funds (65)：

2020 - 2024 New developments in mathematical analysis of spatio-temporal nonuniform dynamics in quasilinear hyperbolic-parabolic conservation laws
2020 - 2023 To global analysis for solutions of nonlinear partial differential equations tems
2017 - 2020 Development of global analysis for solutions of nonlinear partial differential equations
1965 - 2019 非線形偏微分方程式
2014 - 2017 Toward a global analysis for nonlinear partial differential equations

2011 - 2013 Toward a Global Analysis for Nonlinear System of Partial Differential Equations

2010 - 2012 Bifurcation and structure of solutions for fluid dynamical systems

2008 - 2011 A comprehensive study of nonlinear problems via variational approaches

1965 - 2011 Nonlinear Partial Differential Equations

2008 - 2010 Development of study of nonlinear system as applied analysis

2008 - 2010 Construction of Theory of Digital Analysis

2007 - 2009 Foundation of high accuracy computational methods on the multiple-precision computer environment and its applications to analysi of inverse problems

2005 - 2009 Establishment of Verified Numerical Computation

2005 - 2007 蛍光CTの基礎となる輸送方程式の逆問題の解の数値的再構成

2005 - 2007 Research of applied analysis toward the global theory for nonlinear systems

2004 - 2006 Establishment of New Numerical Methods for Applied Inverse and Ill-Posed Problems

2003 - 2006 Mathematical analysis for inverse problems in mathematical scienes and establishment of numerical methods

2003 - 2006 Synthetic approach for the development of computer assisted analysis from the numerical verification methods

2003 - 2005 Solution structure around bifurcation points of co-dimension 2

2003 - 2004 Unique continuation theorems for systems of partial differential equations and their applications

2002 - 2004 Bifurcation theoretical approach to chaotic dynamics and to systems with large degrees of freedom

2002 - 2004 Applied Analysis for Nonlinear Systems

2002 - 2002 応用逆問題の研究動向の調査と研究体制の整備

2001 - 2002 Synthetic approach for new developments of self-validating numerics

2000 - 2002 Global structure of dynamical systems and their bifurcations

1999 - 2002 Understanding of singularities arising in nonlinear nonequilibrium phenomena

2000 - 2001 熱対流におけるパターン選択メカニズムの数理的解明

2000 - 2001 Modern analysis of fundamental structures of solutions to partial differential equations

1999 - 2001 Studies on singular perturbation problems in nonlinear mechanics

1999 - 2001 Researches on singularities arising in flows and waves

1998 - 2000 Research on infinite precision numerical simulation of partial differential equations

1998 - 2000 Comprehensive Research Toward the Global Theory for the System of Nonlinear Partial Differential Equations

1999 - 1999 相転移と自由境界問題

1998 - 1999 Modern analysis of fundamental structures of solutions to partial differential equations

1998 - 1999 Global bifurcations of homoclinic orbits in vector fields

1998 - 1999 Mathematical Study of the Boundary Element Method and its Application to Inverse

1998 - 1999 Self-validating numerics with applications to computational science and technology

1997 - 1998 Studies on global bifurcations for dynamical systems

1997 - 1998 On the research and development of fast solvers arising in scientific computation

1996 - 1998 「非適切問題における適切クラスの決定と積分方程式を利用した非適切問題の数値解析」

1995 - 1998 Research on random phenomena by the methods of modern mathematics

1996 - 1997 Applied analysis of differential equations in math.sci.

1996 - 1997 New Approaches to Scientific Computing and Applied Analysis

1996 - 1997 A new development of the study for the system of PDE

1995 - 1997 Numerical Analysis for Ill-posed Problems Related with Engineering

1995 - 1996 Integrated Studies towards New Development in Mathematical Sciences

1994 - 1996 Mathematical researches of Well-poseduess of engineering inverse problems and applicattions to engineering

1995 - 1995 磁場をもつシュレディンガー作用素のスペクトル構造の研究

1995 - 1995 数理科学の微分方程式の解析的研究

1993 - 1995 Analysis and Computation of Nonlinear Structures

1994 - 1994 非線型現象に現れる特異性の解明

1992 - 1994 Modern Analysis for the Equations of Mathematical Science

1993 - 1993 数理工学における逆問題の数学的取り扱いと工学的取り扱いに関する総合的研究

1992 - 1992 確率過程論とその応用研究

1992 - 1992 自然現象を記述する微分方程式の漸近的性質

1992 - 1992 自然科学に現われる非線形現象の解明の総合的研究

1991 - 1992 Synthetical Researches on Applied Analysis and Computational Mathematics

1990 - 1992 ALL ROUND STUDY FOR THE NUMERICAL METHODS IN SCIENCE AND TECHNOLOGY

1990 - 1991 Modern Mathematical Research for Equations in Mathematical Physics

1990 - 1990 複素多様体の幾何とその解析的研究

1989 - 1990 Coordinative Research on Numerical Analysis and Applied Analysis

1989 - 1989 数理物理の現代数学的研究

1988 - 1989 Visualization-system of spatio-temporal patterns in natural sciences

1988 - 1988 数理物理学に現れる偏微分方程式の解の研究

1987 - 1988 Mathematical Study on Stochastic Models

Show all

Papers (30)：

Chun-Hsiung Hsia, Yoshiyuki Kagei, Takaaki Nishida, Yuka Teramoto. Singular Limit in Hopf Bifurcation for Doubly Diffusive Convection Equations II: Bifurcation and Stability. Journal of Mathematical Fluid Mechanics. 2021. 23. 3
Chun-Hsiung Hsia, Yoshiyuki Kagei, Takaaki Nishida, Yuka Teramoto. Singular Limit in Hopf Bifurcation for Doubly Diffusive Convection Equations I: Linearized Analysis at Criticality. Journal of Mathematical Fluid Mechanics. 2021. 23. 3
J. Thomas Beale, Takaaki Nishida, Yoshiaki Teramoto. Decay of solutions of the Stokes system arising in free surface flow on an infinite layer. RIMS ( Kyoto University ) Kokyuroku Bessatsu. 2020. B77. 1-20
Yoshiyuki Kagei, Takaaki Nishida. Traveling waves bifurcating from plane Poiseuille flow of the compressible Navier-Stokes equation. Archive Rational Mechanics and Analysis. 2019. 231. 1-44
Yoshiyuki Kagei, Takaaki Nishida, Yuka Teramoto. On the spectrum for the artificial compressible system. JOURNAL OF DIFFERENTIAL EQUATIONS. 2018. 264. 2. 897-928

ｍore...

MISC (9)：

Mitsuhiro T. Nakao, Yoshitaka Watanabe, Nobito Yamamoto, Takaaki Nishida, Myoungnyoun Kim. Computer Assisted Proofs of Bifurcating Solutions for Nonlinear Heat Convection Problems (vol 43, pg 388, 2010). JOURNAL OF SCIENTIFIC COMPUTING. 2010. 44. 1. 107-107
Teramoto Yoshiaki, Nishida Takaaki. Bifurcation in Benard-Marangoni convection. 2007. 2007. 300-300
Nishida Takaaki. Shock Wave Simulations by Finite Difference Schemes (Mathematical Analysis in Fluid and Gas Dynamics). RIMS Kokyuroku. 2004. 1353. 202-213
TERAMOTO Yoshiaki, NISHIDA Takaaki, YOSHIHARA Hideaki. G321 Hopf Bifurcation in Flow down an Inclined Plane. 2004. 2004. 688-689
Watanabe Yoshitaka, Nakao Mitsuhiro T, Yamamoto Nobito, Nishida Takaaki. Some Computer Assisted Proofs for Solutions of the Heat Convection Problems (Theoretical development and feasibility of mathematical analysis on the computer). RIMS Kokyuroku. 2002. 1286. 17-26

ｍore...

Education (4)：

- 1966 Kyoto University
- 1966 Kyoto University Graduate School, Division of Engineering Department of Applied Mathematics and Physics
- 1964 Kyoto University Faculty of Engineering
- 1964 Kyoto University Faculty of Engineering Department of Applied Mathematics and Physics

Professional career (1)：

Dr. of Engineering (Kyoto University)

Work history (25)：

2005/04 - 現在 Kyoto University
2017/10 - 2017/11 國立臺灣大学数学教室 (台北) NCTS 客員教授
2005/04 - 2012/03 早稲田大学・理工学術院・教授
2005/08 - 2005/08 中央研究院数学研究所(台北) 客員教授
1988/11 - 2005/03 京都大学・理学部数学科・教授

2002/09 - 2002/10 フェルラーラ大学数学教室 (イタリア) 客員教授

1995/09 - 1995/10 University of Ferrara, Dept. of Math., Italy, Visiting Fellow

1995/03 - 1995/04 國立臺灣大学数学教室 (台北) 客員教授

1991/10 - 1991/11 フェルラーラ大学数学教室 (イタリア) 客員教授

1991/03 - 1991/04 National Taiwan University, Dept. of Math., Taiwan, Visiting Fellow

1979/04 - 1988/10 京都大学・理学部数学科・助教授

1986/05 - 1986/06 南開大学数学研究所(天津) 客員助教授

1986/05 - 1986/06 Nankai Institute of Mathematics, Tiang Jin, P. R. China, Visiting Associate Professor

1982/12 - Math. Sci. Research Institute, Berkeley, Visiting Fellow

1982/06 - 1982/11 University of Wisconsin

1982/06 - 1982/11 Univ. of Wisconsin-Madison, Mathematics Research Center, Visiting Fellow

1981/09 - 1982/05 ミシガン大学アンアーバー数学教室客員助教授

1981/09 - 1982/05 Univ. of Michigan-Ann Arbor, Dept. of Mathematics, Visiting Associate Professor

1979/04 - 1979/06 Univ. of Wisconsin-Madison, Mathematics Research Center, Visiting Fellow

1973/11 - 1979/03 京都大学・工学部数理工学科・講師

1976/10 - 1977/09 パリ大学 Paris XI (オルセー) 分校客員講師

1976/10 - 1977/09 Universite de Paris-Orsay, Department of Mathematics, Visiting Lecturer

1966/04 - 1973/10 京都大学・工学部数理工学科・助手

1971/09 - 1973/08 ニューヨーク大学クーラント数理科学研究所博士客員研究員

1971/09 - 1973/08 Courant Institute of Mathematical Sciences, NYU, Postdoctoral Fellow

Show all

Association Membership(s) (6)：

日本数学会 , 米国数学会 , 日本応用数理学会 , Mathematical Society of Japan , American Mathematical Society , Japan Society of Industrial and Applied Mathematics

※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

Return to Previous Page