KOTO Toshiyuki 小藤俊幸

Researcher Number	30234793
Other IDs
External Links
Affiliation (Current)	2022: 南山大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2005: 名古屋大学, 大学院情報科学研究科, 助教授 2004 – 2005: 名古屋大学, 大学院・情報科学研究科, 助教授 2003: 電気通信大学, 電気通信学部, 助教授 1994 – 2001: 電気通信大学, 電気通信学部, 助教授 1999: 電子通信大学, 電気通信学部, 助教授 1996: 電子通信大学, 電気通信学部, 助教授 1994: 電気通信大学, 電気通信学部, 講師
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Algebra / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 常微分方程式 / ルンゲ・クッタ法 / 微分・代数系 / 偏微分方程式 / 並列処理 / 遅延微分方程式 / 安定性 / ニュートン法 Except Principal Investigator 安定性 / スチェクロフ作用素 … More / 有限要素法 / 数理モデリング / 微分方程式 / 数値解法 / 離散化 / 計算数理科学 / Stability / 保存系 / 有限要素解析 / 磁気流体スペクトル / 音場・構造体連成系 / ラドン変換 / 移流拡散方程式 / Tayler-Couette流 / 遅延微分方程式 / 移流拡散問題の差分近似 / 遅れをもつ線形微分方程式 / 構造音場連成系のスペクトル / テ-ラークェット渦 / 遅延微分方程式に対するルンゲ・クッタ法 / 組み合わせ最適化問題 / 連成系の固有値問題 / 均質粘性流体問題の収束スキーム / 非均質粘性流体問題の収束スキーム / Dirichlet形式 / 水の波の有限要素近似 / 翼まわりの有限要素計算 / 人工境界条件 / コンピュータ・トモグラフィ / 時間発展系 / Mathematical modelling / Evolution systems / Differential equations / Numerical solutions / Discretization / Computational mathematical sciences / 半整数の重さのモジュラ形式 / モジュラ形式 / ゼータ関数 / ゼータ関数の特殊値 / モジュラ形式のフーリエ係数 / リーマン葉層 / コンパクト葉 / モジュラー形式 / 半整数の重さのモジュラー形式 / 保型形式 / modular forms of half integral weight / modular forms / zeta functions / critical values of zeta functions / Fourier coefficients of modular forms / Riemannian fo / compact leaf / スチェクロス作用素 / 有限要素-代用電荷結合解法 / 有限要素-基本解近似結合解法 / 二次元外部ラプラス問題 / 二次元外部ヘルムホルツ問題 / ニューラルネットワーク / ルンゲクッタ法 / ニューマーク法 / 代用電荷法 / 翼の等角写像 / 二次元ラプラス外部問題 / ヘルムホルツ方程式 / Steklov operator / Finite Element-Charge Simulation combined method / Finite Element-Fundamental Solution combined method / 2 dimensional exterior Laplace problem / 2 dimensional exterior Helmholtz problem / Neural network / Runge-Kutta method / Newmark's method / 並列計算 / 計算科学 / 数値解析 / 力学系 / 離散変数法 / 非線形方程式 / 固有値解析 / 非線型方程式 / Computational science / Numerical analysis / Dynamical systems / Conservative system / Discrete variable methods / Nonlinear equations / Eigenvalue analysis Less

CONSERVATION AND STABILITY OF DYNAMICAL SYSTEMS AND ITS NUMERICAL ANAKYSIS
- Principal Investigator
  
  MITUI Taketomo
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  NAGOYA UNIVERSITY
保存系の計算数理の総合的研究
- Principal Investigator
  
  三井斌友
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nagoya University
Finite Element Method for Huge Domains and Related Topics
- Principal Investigator
  
  USHIJIMA Teruo
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  The University of Electro-Communications
The study of arithmetic and analytic property of automorphic forms and zeta function associated with them and numerical analysis
- Principal Investigator
  
  KOJIMA Hisashi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Iwate University
  The University of Electro-Communications
変分法の諸問題と数値スキームの研究
- Principal Investigator
  
  海津聰
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  The University of Electro-Communications
Numerical Analysis of Evolution Systems
- Principal Investigator
  
  MITSUI Taketomo
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  NAGOYA UNIVERSITY
ポテンシャル問題の数値解析と関連事項
- Principal Investigator
  
  牛島照夫
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  The University of Electro-Communications
微分方程式の解の構造の解析とその応用
- Principal Investigator
  
  KATO Takashi
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  The University of Electro-Communications
硬い常微分方程式系の数値解法に関する研究Principal Investigator
- Principal Investigator
  
  小藤俊幸
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  The University of Electro-Communications

All 2004 2003

All Journal Article Book

[Book] Introduction to Computational Science through Differential Equations2004
- Author(s)
  T.Mitsui, T.Koto, Y.Saito
- Publisher
  Kyoritsu Publishers
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340029
[Book] 微分方程式による計算科学入門2004
- Author(s)
  三井斌友, 小藤俊幸, 齋藤善弘
- Total Pages
  213
- Publisher
  共立出版
- Data Source
  KAKENHI-PROJECT-15340029
[Journal Article] Method of lines approximations of delay differential equations2004
- Author(s)
  Toshiyuki Koto
- Journal Title
  
  Comput.Math.Appl 48
  
  Pages: 393-404
- Data Source
  KAKENHI-PROJECT-15340029
[Journal Article] Method of lines approximations of delay differential equations2004
- Author(s)
  Toshiyuki Koto
- Journal Title
  
  Comput.Math.Appl. 48
  
  Pages: 393-404
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340029
[Journal Article] Method of lines approximations of delay differential equations2004
- Author(s)
  Toshiyuki Koto
- Journal Title
  
  Compt. Math. Appl 48
  
  Pages: 393-404
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340029
[Journal Article] Stability of $theta$-methods for delay integro-differential equation2003
- Author(s)
  Toshiyuki Koto
- Journal Title
  
  J. Comput. Appl. Math 161
  
  Pages: 393-404
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340029
[Journal Article] Stability of $theta$-methods for delay integro-differential equation2003
- Author(s)
  Toshiyuki Koto
- Journal Title
  
  J.Comput.Appl.Math. 161
  
  Pages: 393-404
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340029

1. KATO Takashi (30012488)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. USHIJIMA Teruo (10012410)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. MITSUI Taketomo (50027380)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. 海津聡 (80017409)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. SUGIHARA Masaaki (80154483)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. KOYAMA Daisuke (60251708)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. NAKAO Mitsuhiro (10136418)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. 渡辺二郎 (90011535)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. 前田茂 (20115934)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. MUROTA Kazuo (50134466)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. NAKASHIMA Masaharu (40041230)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. SHINOHARA Yoshitane (40035803)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. KOJIMA Hisashi (90146118)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. KOMIYAMA Haruo (90042762)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. NUMATA Minoru (50028255)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. MIYAI Akio (70003960)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. TAYOSHI Takao (60017382)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. OSHIKIRI Genichi (70133931)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. TAKEDA Tatsunoki (60272746)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. FUKUHARA Makoto (60272754)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. OKADA Masami (00152314)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. SAKAJO Takashi (10303603)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. SUGIURA Hiroshi (60154465)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 田村明久 (50217189)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 内藤敏機 (60004446)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 吉田稔 (00182791)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 中嶋文雄 (20004484)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 吉岡正典 (90272749)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 中村健一 (40293120)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. 伊東裕也 (30211056)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. 小澤一文 (20100753)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. 吉田春夫 (70220663)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. 伊藤利明 (60201927)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. 三好哲彦 (60040101)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. 石井克哉 (60134441)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. 三井武友

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results

KOTO Toshiyuki 小藤 俊幸

Research Projects

Research Products

Co-Researchers

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

硬い常微分方程式系の数値解法に関する研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] Introduction to Computational Science through Differential Equations2004

Author(s)

Publisher

Description

Data Source

[Book] 微分方程式による計算科学入門2004

Author(s)

Total Pages

Publisher

Data Source

[Journal Article] Method of lines approximations of delay differential equations2004

Author(s)

Journal Title

Data Source

[Journal Article] Method of lines approximations of delay differential equations2004

Author(s)

Journal Title

Description

Data Source

[Journal Article] Method of lines approximations of delay differential equations2004

Author(s)

Journal Title

Description

Data Source

[Journal Article] Stability of $theta$-methods for delay integro-differential equation2003

Author(s)

Journal Title

Description

Data Source

[Journal Article] Stability of $theta$-methods for delay integro-differential equation2003

KOTO Toshiyuki 小藤俊幸