Kawanago Tadashi 川中子正

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KAWANAGO Tadashi 川中子正

川中子正カワナゴタダシ

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Researcher Number	20214661
Other IDs
Affiliation (Current)	2022: 佐賀大学, 教育学部, 教授
Affiliation (based on the past Project Information) *help	2007: Tokyo Institute of Technology, Faculty of Science and Engineering, Associate professor 2006: Tokyo Institute of Technology, Graduate school of Science and Engineering, Associate Professor, 大学院理工学研究科, 助教授 2000 – 2005: 東京工業大学, 大学院・理工学研究科, 助教授 1994 – 1995: 大阪大学, 理学部, 助手 1992: 大阪大学, 理学部, 助手 1990: 大阪大学, 理学部, 助手
Review Section/Research Field	Principal Investigator Global analysis / General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator 解析学 / 代数学・幾何学 / Geometry / Algebra / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 分岐現象 / 偏微分方程式 / 強制振動系 / 自励振動系 / 精度保証 / 分岐定理 / 周期解 / 対称性破壊分岐 / ニュートン法 / アルゴリズム … More / 高精度近似解 / 数値的検証法 / Newton法の収束定理 / スペクトル法 / 計算効率 / 線形作用素の逆のノルム評価 / Newton法 / 有限要素法 / partial differential equations / numerical verification / The convergence theorem of Newton's method / The spectrum method / the computational efficiency / bifurcation phenomena / The estimate for the norm of the inverse of linearized operators … More Except Principal Investigator 非線形偏微分方程式 / 解空間の大域的構造 / 熱対流問題 / 力学系 / 非線形波動 / 計算機援用証明法 / Global structure of solution space / Heat convection problems / Computer assisted proof / リーマン多様体 / スペクトル幾何 / リッチ曲率 / コンパクト化 / 熱核 / 調和写像 / 調和関数 / アルバネーゼトーラス / 粘性的保存則 / Burgers方程式 / 希薄波 / 進行波 / Duffing方程式 / 周期解分岐 / 散乱行列 / Schrodinger方程式 / 平均曲率一定曲面 / Steiner対称比 / Schwarz対称比 / 等周問題 / 双曲型方程式 / 波動方程式 / 散乱理論 / 量子力学 / ゼ-タ-関数 / ラプラシアン / スペクトル / 多様体 / 特異性の伝播 / ゼ-タ関数 / エルゴ-ド性 / 幾何光学 / 漸近展開 / Hyperbolic Equation / Wave Equation / Scattering Theory / Quantum Mechanics / Zeta Function / Laplacian / Spectrum / Manifold / 代数曲線 / ヤコビ多様体 / アーベル多様体 / 楕円曲線 / 等分点 / ガロワ群 / 超楕円曲線 / 等分方程式 / 有理点群 / ガロワ拡大 / Algebraic curve / Jacobian variety / Abelian variety / Elliptic curve / Division points / Galois group / 放物型方程式 / 楕円型方程式 / 正値解 / 基本解 / グリーン関数 / 一意性 / マルチン境界 / ポテンシャル論 / 非一意性 / 歪積 / 解の一意性 / Martin境界 / parabolic equation / elliptic equation / positive solution / fundamental solution / Green function / uniqueness / Martin boundary / potential theory / Navier-Stokes方程式 / 分岐問題 / 粘性衝撃波 / 外部問題 / Nonlinear partial differential equations / Dynamical systems / Nonlinear waves / Navier-Stokes equation / Bifurcation problems / 自由表面問題 / Nonlinear Partial Differential Equation / Dynamical Systems / Free surface problems Less

Research of applied analysis toward the global theory for nonlinear systems
- Principal Investigator
  
  NISHIDA Takaaki
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Waseda University
Theoretical research on the numerical analysis for differential equations based on the convergence theorem of Newton's methodPrincipal Investigator
- Principal Investigator
  
  KAWANAGO Tadashi
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
Applied Analysis for Nonlinear Systems
- Principal Investigator
  
  NISHIDA Takaaki
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
A synthetic study of positive solutions to elliptic and parabolic partial differential equations
- Principal Investigator
  
  MURATA Minoru
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  TOKYO INSTITUTE OF TECHNOLOGY
非線形発展方程式の周期解の分岐現象Principal Investigator
- Principal Investigator
  
  川中子正
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Institute of Technology
幾何学的函数論への対称化法の応用
- Principal Investigator
  
  小磯深幸
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
流体を記述する非線型偏微分方程式系の数学解析
- Principal Investigator
  
  MATSUMURA Akitaka
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
Arithmetics on Jacobian Varieties
- Principal Investigator
  
  YAMAMOTO Yoshihiko
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
リーマン多様体の崩壊理論とスペクトル幾何
- Principal Investigator
  
  加須栄篤
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
Hyperbolic equations and its applications
- Principal Investigator
  
  IKAWA Mitsuru
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Osaka University

All 2007 2006 2005 2004

All Journal Article Presentation

[Journal Article] Improved convergence theorems of Newton's method designed for the numerical verification of differential equations2007
- Author(s)
  Tadashi Kawanago
- Journal Title
  
  Journal of Computational and Applied Mathematics 199
  
  Pages: 365-371
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340027
[Journal Article] Improved convergence theorems of Newton's method designed for the numerical verification for solutions of differential equations2007
- Author(s)
  Tadashi.Kawanago
- Journal Title
  
  J. Comput. Appl. Math. 199
  
  Pages: 365-371
- Data Source
  KAKENHI-PROJECT-17540103
[Journal Article] Improved convergence theorems of Newton's method designed for the numerical verification for solutions of differential equations2007
- Author(s)
  Tadashi Kawanago
- Journal Title
  
  J. Comput. Appl. Math. 199
  
  Pages: 365-371
- Data Source
  KAKENHI-PROJECT-17340027
[Journal Article] Improved convergence theorems of Newton's method for diff.eq2007
- Author(s)
  T.Kawanago
- Journal Title
  
  J.Comput.Appl.Math 199
  
  Pages: 365-371
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340027
[Journal Article] Improved convergence theorems of Newton's method designed for the numerical verification for solutions of differential equations2007
- Author(s)
  Tadashi Kawanago
- Journal Title
  
  J. Comput. Appl. Math. 199
  
  Pages: 365-371
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540103
[Journal Article] Improved convergence theorems of Newton's method designed for the numerical verification for solutions of differential equations2007
- Author(s)
  Tadashi.Kawanago
- Journal Title
  
  J.Comput.Appl.Math. 199
  
  Pages: 365-371
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540103
[Journal Article] Improved convergence theorems of Newton's method designed For the numerical verification for solutions of differential equations2007
- Author(s)
  T. Kawanago
- Journal Title
  
  J. of Computational and Applied Mathematics vol.19
  
  Pages: 365-371
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340027
[Journal Article] Improved Convergence Theorems of Newton's Method Designed For The Numerical Verification For Solutions of Differential Equations2006
- Author(s)
  Tadashi Kawanago
- Journal Title
  
  Journal Computational and Applied Mathematics (to appear)
- Data Source
  KAKENHI-PROJECT-17340027
[Journal Article] Improved convergence theorems of Newton's method designed for the numerical verification for solutions of differential equations2006
- Author(s)
  Tadashi Kawanago
- Journal Title
  
  J.Comput.Appl.Math. (未定)(印刷中)
- Data Source
  KAKENHI-PROJECT-17540103
[Journal Article] A unified theorem describing Hopf and pitchfork bifurcation2006
- Author(s)
  T.Kawanago
- Journal Title
  
  ICNAAM 2006, Wiley-VCH Verlag ICNAAM
  
  Pages: 174-177
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340027
[Journal Article] Computer assisted proof to symmetry-breaking bifurcation phenomena in nonlinear vibration2004
- Author(s)
  Tadashi Kawanago
- Journal Title
  
  Japan J.Indust.Appl.Math. 21・1
  
  Pages: 75-108
- NAID
  10018380068
- Data Source
  KAKENHI-PROJECT-14340035
[Journal Article] A symmetry-breaking bifurcation theorem and some related theorems applicable to maps having unbounded derivatives2004
- Author(s)
  T.Kawanago
- Journal Title
  
  Japan J.Indust.Appl.Math. 21
  
  Pages: 57-74
- NAID
  10018380052
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440042
[Journal Article] A symmetry-breaking bifurcation theorem and some related theorems applicable to maps having unbounded derivatives2004
- Author(s)
  Tadashi Kawanago
- Journal Title
  
  Japan J.Indust.Appl.Math. Vol.21
  
  Pages: 57-74
- NAID
  10018380052
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340035
[Journal Article] A symmetry-breaking bifurcation theorem and some related theorems applicable to maps having unbounded derivatives2004
- Author(s)
  Tadashi Kawanago
- Journal Title
  
  Japan J.Indust.Apple.Math. 21
  
  Pages: 57-74
- NAID
  10018380052
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340035
[Presentation] A unified theorem describing Hopf and pitchfork bifurcation2006
- Author(s)
  Tadashi Kawanago
- Organizer
  ICNAAM 2006
- Place of Presentation
  Crete,Greece
- Year and Date
  2006-09-16
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340027
[Presentation] Numerical verification for Hopf and pitchfork bifurcation points2005
- Author(s)
  Tadashi Kawanago
- Organizer
  Workshop on Numerical Analysis of Flow Problem
- Place of Presentation
  長崎ワシントンホテル
- Year and Date
  2005-11-22
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340027

1. MATSUMURA Akitaka (60115938)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. KOMATSU Gen (60108446)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. TANABE Hiroki (70028083)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. NAGATOMO Kiyokazu (90172543)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. KOKUBU Hiroshi (50202057)

# of Collaborated Projects: 2 results

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6. NAKAO Mitsuhiro T. (10136418)

# of Collaborated Projects: 2 results

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7. IKAWA Mitsuru (80028191)

# of Collaborated Projects: 2 results

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8. NISHIDA Takaaki (70026110)

# of Collaborated Projects: 2 results

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9. 坂根由昌 (00089872)

# of Collaborated Projects: 2 results

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10. TSUJISHITA Tooru (10107063)

# of Collaborated Projects: 1 results

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11. IKEDA Nobuyuki (00028078)

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12. YAMAMOTO Yoshihiko (90028184)

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13. OGAWA Hiroyuki (70243160)

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14. MURAKAMI Jun (90157751)

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15. HIRAMINE Yutaka (30116173)

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16. MURATA Minoru (50087079)

# of Collaborated Projects: 1 results

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17. SHIGA Hiroshige (10154189)

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18. AIKAWA Hiroaki (20137889)

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19. ISHIGE Kazuhiro (90272020)

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20. KURATA Kazuhiro (10186489)

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21. KOZONO Hideo (00195728)

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22. TANAKA kazunaga (20188288)

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23. 加須栄篤 (40152657)

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24. 新田貴士 (20202244)

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25. 磯崎洋 (90111913)

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26. 鹿野忠良 (80028183)

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27. 小磯深幸 (10178189)

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28. 磯崎泰樹 (90273573)

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29. 厚地淳 (00221044)

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30. 藤木明 (80027383)

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31. 鈴木譲 (50216397)

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32. 横川光司 (40240189)

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33. 宮西正宜 (80025311)

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34. 二木昭人 (90143247)

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35. 内山耕平 (00117566)

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36. 池田勉 (50151296)

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37. 増田久弥 (10090523)

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38. 岡本久 (40143359)

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39. 大山陽介

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Kawanago Tadashi 川中子 正

KAWANAGO Tadashi 川中子 正

川中子 正 カワナゴ タダシ

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Theoretical research on the numerical analysis for differential equations based on the convergence theorem of Newton's methodPrincipal Investigator

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非線形発展方程式の周期解の分岐現象Principal Investigator

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[Journal Article] Improved convergence theorems of Newton's method designed for the numerical verification of differential equations2007

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[Journal Article] Improved convergence theorems of Newton's method designed for the numerical verification for solutions of differential equations2007

Author(s)

Journal Title

Data Source

[Journal Article] Improved convergence theorems of Newton's method designed for the numerical verification for solutions of differential equations2007

Author(s)

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Data Source

[Journal Article] Improved convergence theorems of Newton's method for diff.eq2007

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Data Source

[Journal Article] Improved convergence theorems of Newton's method designed for the numerical verification for solutions of differential equations2007

Author(s)

Journal Title

Description

Data Source

Kawanago Tadashi 川中子正

KAWANAGO Tadashi 川中子正

川中子正カワナゴタダシ