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Koto Toshiyuki  小藤 俊幸

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… Alternative Names

KOTO Toshiyuki  小藤 俊幸

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Researcher Number 30234793
Other IDs
External Links
Affiliation (Current) 2025: 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) / General mathematics (including Probability theory/Statistical mathematics) / Algebra / 解析学
Keywords
Principal Investigator
ニュートン法 / 安定性 / 遅延微分方程式 / 並列処理 / 偏微分方程式 / 微分・代数系 / ルンゲ・クッタ法 / 常微分方程式
Except Principal Investigator
安定性 / 保存系 … More / Stability / 計算数理科学 / 離散化 / 数値解法 / 微分方程式 / 数理モデリング / 有限要素法 / スチェクロフ作用素 / Eigenvalue analysis / Nonlinear equations / Discrete variable methods / Conservative system / Dynamical systems / Numerical analysis / Computational science / 非線型方程式 / 固有値解析 / 非線形方程式 / 離散変数法 / 力学系 / 数値解析 / 計算科学 / 並列計算 / Newmark's method / Runge-Kutta method / Neural network / 2 dimensional exterior Helmholtz problem / 2 dimensional exterior Laplace problem / Finite Element-Fundamental Solution combined method / Finite Element-Charge Simulation combined method / Steklov operator / ヘルムホルツ方程式 / 二次元ラプラス外部問題 / 翼の等角写像 / 代用電荷法 / ニューマーク法 / ルンゲクッタ法 / ニューラルネットワーク / 二次元外部ヘルムホルツ問題 / 二次元外部ラプラス問題 / 有限要素-基本解近似結合解法 / 有限要素-代用電荷結合解法 / スチェクロス作用素 / compact leaf / Riemannian fo / Fourier coefficients of modular forms / critical values of zeta functions / zeta functions / modular forms / modular forms of half integral weight / 保型形式 / 半整数の重さのモジュラー形式 / モジュラー形式 / コンパクト葉 / リーマン葉層 / モジュラ形式のフーリエ係数 / ゼータ関数の特殊値 / ゼータ関数 / モジュラ形式 / 半整数の重さのモジュラ形式 / Computational mathematical sciences / Discretization / Numerical solutions / Differential equations / Evolution systems / Mathematical modelling / 時間発展系 / コンピュータ・トモグラフィ / 人工境界条件 / 翼まわりの有限要素計算 / 水の波の有限要素近似 / Dirichlet形式 / 非均質粘性流体問題の収束スキーム / 均質粘性流体問題の収束スキーム / 連成系の固有値問題 / 組み合わせ最適化問題 / 遅延微分方程式に対するルンゲ・クッタ法 / テ-ラークェット渦 / 構造音場連成系のスペクトル / 遅れをもつ線形微分方程式 / 移流拡散問題の差分近似 / 遅延微分方程式 / Tayler-Couette流 / 移流拡散方程式 / ラドン変換 / 音場・構造体連成系 / 磁気流体スペクトル / 有限要素解析 Less
  • Research Projects

    (9 results)
  • Research Products

    (7 results)
  • Co-Researchers

    (36 People)
  •  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

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