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Ooura Takuya  大浦 拓哉

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OOURA Takuya  大浦 拓哉

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Researcher Number 50324710
Other IDs
External Links
Affiliation (Current) 2025: 京都大学, 数理解析研究所, 助教
Affiliation (based on the past Project Information) *help 2012 – 2015: 京都大学, 数理解析研究所, 助教
2007 – 2009: Kyoto University, 数理解析研究所, 助教
2000 – 2006: 京都大学, 数理解析研究所, 助手
2002: Research Institute for Mathematical Sciences, (2002), Research Associate, 数理解析研究所(14年度のみ), 助手
2002: 京都大学, 数理解析研究所, 文部科学教官助手
Review Section/Research Field
Principal Investigator
Engineering fundamentals / General mathematics (including Probability theory/Statistical mathematics) / Engineering fundamentals
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
連続Euler変換 / 超関数 / 二重指数関数型(DE)公式 / 数値積分 / 近似計算 / 数値計算法 / 数値解析 / IMT公式 / Sinc近似 / 二重指数関数型数値積分 … More / 近似超関数 / 数値積分法 / 近似 / 連続オイラー変換 / 数値的積分変換 / FFT / 振動積分 / Fourier変換 / DE公式 / 加速法 / 収束の遅いFourier積分 … More
Except Principal Investigator
Navier-Stokes equations / double exponential transform / point vortex / singular perturbation / fluid mechanics / blow-up / vortex dynamics / 数値積分 / singularity / 差分法 / 反応拡散系 / Navier-Stokes方程式 / FFT / 特異点 / Proudman-Johnson方程式 / 高速フーリエ変換 / 分岐理論 / 水面波 / 渦糸 / pulse solutions / reaction-diffusion system / trajectories of fluid particles / vortex sheet / dynamical systems / Euler equations / パルス解 / 粒子の軌跡 / 渦層 / 力学系 / オイラー方程式 / ナビエ・ストークス方程式 / Perfect Graphs / Bidirected Graphs / Algorithms / Discrete Convex Analysis / Semidefinite Programming / パーフェクトグラフ / 双向グラフ / アルゴリズム / 離散凸解析 / 半正定値計画 / subroutine package / variable transformation / numerical integration / double exponential transformation / 最適公式 / 数値解析 / DE変換 / 二重指数関数型公式 / サブルーチンパッケージ / 変数変換 / 二重指数関数型変換 / self-similar solution / interior layer / blow-up of solutions / Yamada's integralequation / solitary wave / 極小曲面 / 燃焼合成 / Cahn-Hiliard方程式 / 保存型スキーム / Nekrasov方程式 / Euler方程式 / Cahn-Hilliard方程式 / 積分方程式 / 2重指数関数変換 / 自己相似解 / 内部遷移層 / 解の爆発 / yamadaの積分方程式 / 二重指数関数変換 / 孤立波 Less
  • Research Projects

    (9 results)
  • Research Products

    (23 results)
  • Co-Researchers

    (13 People)
  •  New approximation algorithm for generalized function and its its application to numerical computationPrincipal Investigator

    • Principal Investigator
      Ooura Takuya
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Study of an approximated distribution using the continuous Euler transformationPrincipal Investigator

    • Principal Investigator
      OOURA Takuya
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Engineering fundamentals
    • Research Institution
      Kyoto University
  •  A Study of Blow-up Problems and Singular Perturbation Problems arisingin Mathematical Fluid Mechanics

    • Principal Investigator
      OKAMOTO Hisashi
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  連続関数に対するFourier変換の高速高精度算法の開発Principal Investigator

    • Principal Investigator
      大浦 拓哉
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Engineering fundamentals
    • Research Institution
      Kyoto University
  •  連続Euler変換の拡張による高速数値積分アルゴリズムの開発Principal Investigator

    • Principal Investigator
      大浦 拓哉
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Engineering fundamentals
    • Research Institution
      Kyoto University
  •  Applications of the dynamical systems theory and the singularity theory to mathematical fluid mechanics

    • Principal Investigator
      OKAMOTO Hisashi
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  On Algorithms and Applications of Semidefinite Programming to Combinatorial Optimization

    • Principal Investigator
      TAMURA Akihisa
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYOTO UNIVERSITY
  •  Research on the double exponential transformation subroutine package

    • Principal Investigator
      MORI Masatake
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Denki University
      Kyoto University
  •  Application of the double exponential transform to integral transformations

    • Principal Investigator
      OKAMOTO Hisashi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYOTO UNIVERSITY

All 2015 2013 2012 2010 2009 2008 2007 2005 Other

All Journal Article Presentation Book

  • [Book] The continuous Euler transforms and their computation2008

    • Author(s)
      Takuya, Ooura
    • Publisher
      Asakura Publishing, Co., Ltd.(to appear)
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204008
  • [Book] 連続オイラー変換とフーリエ変換の計算法

    • Author(s)
      大浦 拓哉
    • Publisher
      朝倉書店(出版確定)
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17204008
  • [Journal Article] Fast computation of Goursat's infinite integral with very high accuracy2013

    • Author(s)
      T. Ooura
    • Journal Title

      Journal of Computational and Applied Mathematics

      Volume: 249 Pages: 1-8

    • NAID

      120005244245

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540122
  • [Journal Article] Fast computation of Goursat's infinite integral with very high accuracy2013

    • Author(s)
      T. Ooura
    • Journal Title

      . Comput. Appl. Math.

      Volume: 249 Pages: 1-8

    • DOI

      10.1016/j.cam.2013.02.006

    • NAID

      120005244245

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540122
  • [Journal Article] Direct computation of generalized functions by continuous Euler transformation2012

    • Author(s)
      T. Ooura
    • Journal Title

      Sugaku Expositions

      Volume: 25 Pages: 89-104

    • NAID

      10026415315

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540122
  • [Journal Article] Particle trajectories around a running cylinder or a sphere2010

    • Author(s)
      M.Shoji, H.Okamoto, T.Ooura
    • Journal Title

      Fluid Dynamics Research 42

    • NAID

      10028205798

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19560067
  • [Journal Article] Particle trajectories around a running cylinder or a sphere2010

    • Author(s)
      M. Shoji, H. Okamoto, T. Ooura
    • Journal Title

      Fluid Dynamics Research 42

      Pages: 25506-25506

    • NAID

      10028205798

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19560067
  • [Journal Article] 連続オイラー変換による超関数の直接計算2009

    • Author(s)
      大浦拓哉
    • Journal Title

      数学 61(3)

      Pages: 93-306

    • NAID

      10026415315

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19560067
  • [Journal Article] 二重指数関数型変換を用いた様々な積分変換の計算法2009

    • Author(s)
      大浦拓哉
    • Journal Title

      日本応用数理学会論文誌 Vol.19、No.1

      Pages: 73-79

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19560067
  • [Journal Article] 二重指数関数型変換を用いた様々な積分変換の計算法2009

    • Author(s)
      大浦拓哉
    • Journal Title

      日本応用数理学会論文誌 19

      Pages: 73-79

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19560067
  • [Journal Article] An IMT-type quadrature formula with the same asymptotic performance as the DE formula2008

    • Author(s)
      T., Ooura
    • Journal Title

      J. Comput. Appl. Math 213

      Pages: 232-239

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204008
  • [Journal Article] An IMT-type quadrature formula with the same asymptotic performance as the DE formula2008

    • Author(s)
      T. Ooura
    • Journal Title

      J. Comput. Appl. Math 213

      Pages: 232-239

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19560067
  • [Journal Article] An IMT-type quadrature formula with the same asymptotic performance as the DE formula2008

    • Author(s)
      T. Ooura
    • Journal Title

      J. Comput. Appl. Math. 213

      Pages: 232-239

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204008
  • [Journal Article] An IMT-type quadrature formula with the same asymptotic performance as the DE formula2008

    • Author(s)
      T. Ooura
    • Journal Title

      J. Comput. Appl. Math. 213

      Pages: 232-239

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19560067
  • [Journal Article] A Double Exponential Formula for the Fourier Transforms2005

    • Author(s)
      T.Ooura
    • Journal Title

      Publ.RIMS, Kyoto Univ. 41

      Pages: 971-978

    • Data Source
      KAKENHI-PROJECT-16760054
  • [Journal Article] A double exponential formula for the Fourier transforms2005

    • Author(s)
      T.Ooura
    • Journal Title

      Publ.RIMS 41

      Pages: 971-978

    • Data Source
      KAKENHI-PROJECT-17204008
  • [Journal Article] An IMT-type quadrature formula with the same asymptotic performance as the DE formula

    • Author(s)
      T.Ooura
    • Journal Title

      J. Comp. Appl. Math. (Accepted)(To appear)

    • Data Source
      KAKENHI-PROJECT-17204008
  • [Presentation] Computation of an Infinite Integral with Unbounded Integrand2015

    • Author(s)
      T. Ooura
    • Organizer
      The 8th International Congress on Industrial and Applied Mathematics
    • Place of Presentation
      China National Convention Center inside the Beijing Olympic Green (China)
    • Year and Date
      2015-08-10
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540122
  • [Presentation] 振動積分の数値計算法について2012

    • Author(s)
      大浦拓哉
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学瀬田キャンパス
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540122
  • [Presentation] 戸田積分のDE公式による超高精度計算2009

    • Author(s)
      大浦拓哉
    • Organizer
      第38回数値解析シンポジウム(日本応用数理学会主催)
    • Place of Presentation
      熱川ハイツ(静岡県)
    • Year and Date
      2009-06-16
    • Data Source
      KAKENHI-PROJECT-19560067
  • [Presentation] 戸田積分のDE公式による超高精度計算2009

    • Author(s)
      大浦拓哉
    • Organizer
      第38回数値解析シンポジウム(日本応用数理学会主催)
    • Place of Presentation
      静岡県熱川ハイツ
    • Year and Date
      2009-06-16
    • Data Source
      KAKENHI-PROJECT-19560067
  • [Presentation] 連続オイラー変換による超関数の直接計算2007

    • Author(s)
      大浦拓哉
    • Organizer
      日本数学会2007年度秋季総合分科会「応用数学スペシャルセッション」
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-23
    • Data Source
      KAKENHI-PROJECT-19560067
  • [Presentation] 連続オイラー変換による振動積分の算法

    • Author(s)
      大浦拓哉
    • Organizer
      第42回数値解析シンポジウム
    • Place of Presentation
      松山道後温泉 道後館
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540122
  • 1.  OKAMOTO Hisashi (40143359)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 2.  FURIHARA Daisuke (80242014)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  MUROTA Kazuo (50134466)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  MORI Masataka (20010936)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  NAGAYAMA Masaharu (20314289)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  OHKITANI Koji (70211787)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  UEDA Keiichi (00378960)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  KIMURA Yoshifumi (70169944)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  SAKAJOU Takashi (10303603)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  SHOJI Mayumi (10216161)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  TAMURA Akihisa (50217189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  FUJIE Tetsuya (40305678)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  MATSUO Takayasu (90293670)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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