MIZUTANI Akira 水谷明

… Alternative Names

MIZITANI Akira 水谷明

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Researcher Number	80011716
Other IDs
Affiliation (based on the past Project Information) *help	2011: 学習院大学, 理学部, 教授 2009: 学習院大学, 理学部, 教授 1994 – 2007: 学習院大学, 理学部, 教授 1987 – 1994: 学習院大学, 理学部, 助教授
Review Section/Research Field	Principal Investigator 解析学 Except Principal Investigator 解析学 / Basic analysis / Basic analysis / Algebra / Science education / 代数学・幾何学 / Science education / Geometry / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 有限要素法 / 逆反復法 / 変分原理 / 不安定解 / 準線形楕円型境界値問題 Except Principal Investigator 量子力学 / 経路積分 / Schrodinger equation / Stationary phase method / 停留位相法 … More / Quantum mechanics / Selfajoint operator / Oscillatory integrals / Feynman path integrals / WKB法 / Feynman経路積分 / Schrodinger方程式 / スペクトル理論 / path integrals / WKB-method / Stationary phase / 振動積分 / シュレーディンガー方程式 / 固有値の数値計算 / Scrodinger方程式 / Feynman path integral / HIGH-SCHOOL MATHEMATICS / NATIONAL CURRICULUM / MATHEMATICAL EDUCATION / 高等学校数学 / 教育課程 / 数学教育 / 数学基礎 / 学習指導要領 / Spectral theory / 非線形偏微分方程式 / シュレーディンガー作用素 / 代数的独立性 / 超越数 / 散乱理論 / シュレ-ディンガ-作用素 / Navier-Stokes / Maxwell / 自己共役作用素 / FUNDAMENTALS OF MATHEMATICS / CURRICULUM GUIDELINES / BASIC / 準古典近似 / ファインマン積分 / 非線形方程式 / 分散型評価 / 偏微分方程式 / 数理物理学 / 特異性伝播 / 小平次元 / ファインマン経路積分 / 不定方程式 / 極値的長さ / FUNDAMENTALS OF MATH / CURRICULUM / 教育過程 / Dissipative / Bi-harmonic / Besov space / Singular Perturbation / Self-adjoint / Shrodinger / Wiener空間 / 最大関数 / 消散型 / 消散方 / 重調和 / Besov空間 / 特異摂動 / Schrodinger / Random system / Microlocal singularities / Time periodic system / Scattering theory / Nonlinear differential equations / Partial differential equations / Mathematical Physics / 状態密度関数 / ランダムシュレーディンガー作用素 / phase space tunnenling / 量子電磁力学 / 漸近展開 / 断熱近似 / ランダム磁場 / レゾナンス / ネルソンモデル / 平滑化作用 / スペクトル / 散乱の波動作用素 / ランダム系 / 超局所特異性 / 時間周期系 / MATHEMATICS ACTIVITIES / 教育ソフト / 数学的活動 / Scridinger方程式 / Statuinary phase method / EKB法 / Foureir積分作用素 / 汎関数解析 / 位相停留法 / シュレーディングー方程式 / シュレーディレガー方程式 / 中等教育 / 情報教育 / コンピュータ / 高校数学 / Covering surface of the unit disc / Nonlinear PDE / Zeros of Polynomials / Feynman integral / 代数方程式の数値解法 / 点相互作用 / 特異相互作用 / 単位円板の被覆面 / 多項式の零点 / 停留位相の方法 / precise graphic image / triply periodic minimal surface / crystallographic group / minimal surface / 精密画像 / 結晶群 / 3重周期的極小曲面 / 極小曲面 / Lie-Trotter product formula / Feynman-Kac formula / Perturbation / Schridinger方程式 / Feru man経路積分 / sfationary phare methos / path integral / Feynman 経路積分 / ハミルトニアン / stationary phrse aruthod / puth integral / Functional equations / Diophantine equations / Algebraic independence / Transcendental numbers / 関数等式 / Finite element approximation / Explicit method / Degenerate non-linear parabolic equations / Pass integral / Feynmann integral / Semi-linear elliptic boundary value problem / マンデルブロ-集合 / 有限要素法近似 / 漸近解析 / 陽解法 / 有限要素近似 / 退化放物型方程式 / 準線形線形楕円形境界値問題 / シュレ-ディンガー方程式 / Diophantine Approximation / Transcendental Numbers / パデ近似 / マ-ラ-関数 / ディオファンタス近似 / extremal length / 平面曲線 / 代数多様体 / Black-Scholls方程式 / HWW方程式 / 極限の可視化 / default-risk system / オプション / 多倍長計算 / フラクタル次元 / アトラクター / 漸近挙動 / blow up time / Default risk / 金融工学 / 相分離 / 数理モデル / 特異性伝播問題 / 量子物理学 / 基本解 / 関数解析学 / 線形偏微分方程式 / 実解析 / 関数解析 / 関数方程式 / フーリエ積分作用 / Feynman path integrate / Feynman / フーリエ積分作用素 / Schnodinger方程式 / Feynman path mlegrals / クレモナ変換 / 代数曲線 / 種数 / 微分型式 / 極小モデル / 双有理 / 代数幾何 / フーリェ積分作用素 / シンV-ディンガー方程式 / 汎関数 / 数値計算 / 積公式 / 逆スペクトル問題 / 共鳴レヴェル / 調和測度 / 等角容量 / 極値的距離 / ポテンシャル / ネットワ-ク / 倉持境界 / リ-マン面 / レンズ空間 / プロログ / 高速フ-リエ変換 Less

Mathematical analysis of the nonlinear systems arising in the industry.
- Principal Investigator
  
  NAKAMURA Masaaki
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nihon University
Mathematical Analysis of Quantum Physics
- Principal Investigator
  
  YAJIMA Kenji (KENJI Yajima)
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Gakushuin University
Research on Functional Analysis and Mathematical theory of Feynman path integrals
- Principal Investigator
  
  FUJIWARA Daisuke
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Gakushuin University
Study of developing firm ability in Mathematics.
- Principal Investigator
  
  IITAKA Shigeru
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Science education
- Research Institution
  Gakushuin University
Research on Functional Analysis and Mathematical theory of Feynman path integrals.
- Principal Investigator
  
  FUJIWARA Daisuke
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Gakushuin University.
Mathematical Analysis of Quantum Physics
- Principal Investigator
  
  YAJIMA Kenji
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Gakushuin University
  The University of Tokyo
On the scattering theory and the singular perturbations for the self-adjoint operators
- Principal Investigator
  
  WATANABE Kazuo
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Gakushuin University
Research in Functional Analsys and Mathematical theory of Feynman path integrals
- Principal Investigator
  
  FUJIWARA Daisuke
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Gakushuin University
THE PROMTION OF ABILITY OF MATHEMATICS LEARNING
- Principal Investigator
  
  SHIGERU Iitaka
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Science education
- Research Institution
  GAKUSHUIN UNIVERSITY
Research in Functional Analsys and Mathematical theory of Feynman path integrals.
- Principal Investigator
  
  FUJIWARA Daisuke
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Gakushuin University
Mathematics of Schrodinger Equations
- Principal Investigator
  
  KURODA Shige toshi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Gakushuin University
THE STUDY OF HIGH-SCHOOL MATH AND ITS NEIGHBORHOODS
- Principal Investigator
  
  IITAKA Shigeru
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Science education
- Research Institution
  GAKUSHUIN UNIVERSITY
Research in Functional Analsys.
- Principal Investigator
  
  FUJIWARA Daisuke
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Department of Mathematics, Faculty of Sciences, Gakushuin University
Precise Graphic Images of Minimal Surfaces Using Computer
- Principal Investigator
  
  KAWASAKI Tetsuro
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Gakushuin University
汎関数解析
- Principal Investigator
  
  藤原大輔
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Gakushuin University
Algebraic and Analytic Research of Transcendental Numbers
- Principal Investigator
  
  IITAKA Shigeru, 三井孝美
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Gakushuin University
汎関数解析
- Principal Investigator
  
  藤原大輔
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Gakushuin University
Functional Analysis and Partial Differential Equations
- Principal Investigator
  
  KURODA Shigetoshi
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Gakushuin University, Faculty of Science
汎関数解析
- Principal Investigator
  
  藤原大輔
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Gakushuin University
代数多様体の双有理不変構造の研究
- Principal Investigator
  
  飯高茂
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Gakushuin University
超越数の代数的・解析的研究
- Principal Investigator
  
  三井孝美
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Gakushuin University
偏微分方程式の近似解法Principal Investigator
- Principal Investigator
  
  水谷明
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Gakushuin University
関数解析・偏微分方程式の研究
- Principal Investigator
  
  黒田成俊
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Gakushuin University
解析多様体の研究
- Principal Investigator
  
  大津賀信
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Gakushuin University
解析多様体の研究
- Principal Investigator
  
  大津賀信
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Gakushuin University
関数解析・偏微分方程式の研究
- Principal Investigator
  
  KURODA Shigetoshi
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Gakushuin University
Study of Algebraic and Analytic Theory of Transcendental Numbers
- Principal Investigator
  
  MITSUI Takayoshi
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Gakushuin University
偏微分方程式と関数解析・数値解析の研究
- Principal Investigator
  
  黒田成俊
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Gakushuin University
代数多様体の研究
- Principal Investigator
  
  飯高茂
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Gakushuin University

All 2007 2005

All Journal Article Presentation

[Journal Article] Finite element approximation to degenerate parabolic equations, an application of nonlinear semi-group theory2005
- Author(s)
  A.Mizutani
- Journal Title
  
  ESAIM Mathematical modeling and Numerical Analysis vol.39
  
  Pages: 755-780
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340039
[Journal Article] Finite element approximation to degenerate parabolic equations, an application of nonlinear semi-group theory2005
- Author(s)
  A.Mizutani
- Journal Title
  
  ESAIM Mathematical modeling and Numerical Analysis 39
  
  Pages: 755-780
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340039
[Journal Article] On finite element method for the biharminic Dirichlet problem in the polygonal domains, On the quasi-optimal rate of convergence2005
- Author(s)
  A.Mizutani
- Journal Title
  
  Japan J. indust. Appl. Math. 22
  
  Pages: 45-56
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340039
[Journal Article] On finite element method for the biharminic Dirichlet problem in the polygonal domains, On the quasi-optimal rate of convergence2005
- Author(s)
  A.Mizutani
- Journal Title
  
  Japan J.Indust.Appl.Math. Vol.22
  
  Pages: 45-56
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340039
[Journal Article] Finite element approximation for degenerate parabolic equations.An application of nonlinear semigroup theory2005
- Author(s)
  A.Mizutani, N.Saito and T.Suzuki
- Journal Title
  
  M2AN Math.Model.Numer.Anal 39
  
  Pages: 755-780
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540170
[Journal Article] Finite element approximation for degenerate parabolic equations, An application of nonlinear semigroup theory2005
- Author(s)
  Akira Mizutani
- Journal Title
  
  M2NA Mathematical Modelling and Numerical Analysis 39
  
  Pages: 755-780
- Data Source
  KAKENHI-PROJECT-14340039
[Journal Article] Finite element approx-imation for degenerate parabolic equations. An application of nonlinear semigroup theor2005
- Author(s)
  A., Mizutani, N., Saito, T., Suzuki
- Journal Title
  
  M2AN Math. Model. Num. Anal 39
  
  Pages: 755-780
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540170
[Journal Article] Finite element approximation for degenerate parabolic equations. An application of nonlinear semigroup theory.2005
- Author(s)
  Mizutani, A.
- Journal Title
  
  M2AN Math.Model.Numer.Anal. 39 no.4
  
  Pages: 755-780
- Data Source
  KAKENHI-PROJECT-17540170
[Presentation] 4階非線形2点境界値問題に対する解の精度保証2007
- Author(s)
  水谷明
- Organizer
  日本数学会応用数学分科会
- Place of Presentation
  埼玉大学,埼玉県
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540170
[Presentation] Numerical enclosure of solutions for 4th order nonlinear two-point boundary value problems2007
- Author(s)
  A., Mizutani
- Organizer
  Ann. meeting Math. Soc. Japan
- Place of Presentation
  Saitama Unv. Saitama
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540170

1. KURODA Shigetoshi (20011463)

# of Collaborated Projects: 22 results

# of Collaborated Products: 0 results
2. FUJIWARA Daisuke (10011561)

# of Collaborated Projects: 20 results

# of Collaborated Products: 0 results
3. IITAKA Shigeru (20011588)

# of Collaborated Projects: 18 results

# of Collaborated Products: 0 results
4. KATASE Kiyoshi (70080489)

# of Collaborated Projects: 18 results

# of Collaborated Products: 0 results
5. MITSUI Takayoshi (20080484)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
6. WATANABE Kazuo (90260851)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
7. KAWASAKI Tetsuro (90107061)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
8. OHTSUKA Makoto (30033765)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
9. SHIMOMURA Akihiro (00365066)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
10. YAJIMA Kenji (80011758)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
11. OKABE Tsuneharu (80087080)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. NAKAMURA Shu (50183520)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. CHEN Yungang (50217262)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. NAKAJIMA Shoichi (90172311)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. 浅枝陽 (60080488)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. NAKAMURA Masaaki (00017419)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. ISHIMURA Naoyuki (80212934)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. IMAI Hitoshi (80203298)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. NAKANO Shin (40180327)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. ICHINOSE Takashi (20024044)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. JIN Naondo (90206368)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. KURATA Kuzuhiro (10186489)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. SUZUKI Toshio (20020472)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. SUGANO Satoko (50316931)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. KAKEUCHI Shingo (00333021)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. KADOWAKI Mitsuteru (70300548)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 赤尾和男 (50011698)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 小川卓克 (20224107)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 田中仁

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

MIZUTANI Akira 水谷 明

MIZITANI Akira 水谷 明

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MIZUTANI Akira 水谷明

MIZITANI Akira 水谷明