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YAMAMOTO Tetsuro  山本 哲朗

ORCIDConnect your ORCID iD *help
… Alternative Names

山本 哲郎  ヤマモト テツロウ

山本 哲朗  ヤマモト テツロウ

YAMAMOTO Tetsurou  山本 哲朗

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Researcher Number 80034560
Other IDs
External Links
Affiliation (based on the past Project Information) *help 2002: Waseda University, Informatics, Professor, 理工学部, 教授
1992 – 2001: Ehime Univ., Mathematics, Professor, 理学部, 教授
2000: 島根大学, 理学部, 教授
1990: 愛媛大学, 理学部, 教授
1986 – 1988: 愛媛大学, 理学部, 教授
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 / Geometry / 代数学・幾何学 / Engineering fundamentals
Keywords
Principal Investigator
局所収束定理 / 大域収束定理 / 滑らかでない方程式 / Newton-like法 / 半局所収束定理 / 劣決定方程式系 / 夛項式の全根同時型解法 / SOR-DK法 / SOR-Newton法 / 方程式の反復解法 … More / GMRES法 / SOR法 / SSOR法 / Uzawa法 / Jacobi-Davidson法 / 非線形SOR型解法 / 非線形SSOR法 / SOR型D-K法 / 一般局所収束定理 / Iterative methods for salring equations / GMRES method / SOR method / SSOR method / Global convergence theorem / 有限差分法 / 有限要素法 / Shartley-Weller近似 / 超収束 / 境界値問題 / 伸長変換 / 非整合スキームの収束と加速 / 離散Green関数 / Shortley-Weller近似 / 非整合スキームの収束 / 超収束性 / 有限体積法 / 超収束現象 / Swartztrauber-Sweet公式 / finite difference method / finite element method / Shortley-Weller qpproximation / superconvergence / boundary value problem / stretching functions / inconsistent scheme / discrete Green's function / 非線形反復解法 / 球型収束定理 / 自由境界問題 / 非線形偏微分方程式の解の構造 / 高速微分法 / 誤差評価 / 計算数学 / 応用解析 / 応用数学 / 数値解析 / 誤差解析 / 解の存在定理 / 反復法 / Nonlinear iterative method / Ball-convergence theorem / Free boundary problems / Structure of solution of partial differential equations / Fast automatic differentiation / ヘリウム薄膜 / 超流動 / メゾスコピック系 / 2次元電子系 / バリスティック伝導 / アハラノフ・ボ-ム効果 / コンダクタンスの量子化 / コンダクタンスのゆらぎ / Newton法 / Hauklerの定理 / 境界値問題の解の事後評価 / 正則化法 … More
Except Principal Investigator
有限要素法 / 数値解析 / Numerical analysis / 自由境界問題 / 逆問題 / 反応拡散方程式 / 誤差評価 / 反応拡散方程式系 / ニュートン法 / 精度保証付き数値計算 / GKS / FORTRAN / 科学技術計算 / XWindow / moriplot / 並列計算 / 数値流体力学 / 領域分割法 / finite element method / Validated computation / 精度保証付き数値計算法 / 解の数値的検証 / 計算機援用証明 / Computer assisted proof / 誤差解析 / error analysis / ヒルベルト空間 / von Neumann環 / 量子力学の論理 / 線形偏微分方程式 / 非特性初期値問題 / KacーMoody環 / ユニタリ実形に付随する群 / マトロイド束と劣加法的関数 / 位相群 / 距離化可能性 / 点有限被覆 / 半線形楕円型境界値問題 / 特異放物型方程式 / 数値解の精度保証 / 曲率方程式 / 大域的分岐図 / 解の漸近挙動 / 非線形境界値問題 / 位相線形空間 / 作用素 / AC束 / マトロイド / グラフ / 偏微分方程式系の初期値問題 / 解の正則性の伝播 / 特異性の伝播 / 二重特性多様体 / 2nd microlocal analysis / 2-microhyperbolicity / アダマール行列 / アダマールデサイン / K-行列 / グロータンディック環 / 準周期現象の数値解析 / 連立非線形方程式の数値解法 / 分岐現象の数理 / 自由境界の最適形状設計 / 電磁場の有限要素法 / 固体力学の有限要素法 / 常微分方程式の並列アルゴリズム / 層と界面のダイナミクス / 非線形現象の数理 / 常微分方程式の数値計算 / 偏微分方程式の数値計算 / 分岐現象 / 流体力学の数値解析 / 構造物の数値解析 / 化学反応の数値解析 / 非線形回路の数値解析 / quasiperiodic phenomena / arc-length method / bifurcation / optimum shape design / finite element analysis / electromagnetism / parallel computation / dynamics of phase and surface / 検証つき数値解析 / 流体の自由表面波 / 低次元逓減法 / 二重指数型変換 / カオカ写像の母関数 / 精度保証つき数値計算 / 区間演算ソフトウェアー / 流体の自由表面問題 / 脳高次機能のモデル / 準周期解 / 界面の運動 / 区間演算ソフトウェア- / 塑性振動解析 / 自動微分法 / 丸め誤差 / Taylor渦 / Validated numerical analysis / Free surface waves of fluid / Finete element method / Dimension reduction method / Reaction Diffusion system / Double exponential transformation / Generating function of chaotic mapping / Newton method / 数値アルゴリズム / 微分方程式数値解法 / 連立線型方程式 / 流体力学的方程式 / 区間演算 / 数理モデリング / 発展方程式 / 常微分方程式系 / 数値的安定性 / 大規模方程式系 / スーパーコンピューテイング / 精度保証付きアルゴリズム / numerical algorithm / numerical solution of differential equations / linear system of equations / free boundary-value problem / interval arithmetic / mathematical modelling / 図形表示 / 3次元立体図形表示 / 数値計算 / グラフィックス / XWindows / 立体図形表示 / GAS / graphics / three dimensional figure / numerical computation / scientific computation / 数理モデル / 反復法 / 流体力学 / 反応-拡散 / 破壊力学 / 反応一拡散 / 反応-拡散方程式 / 反復解法 / Scientific computation / Mathematical modelling / Parallel computing / Iteration method / Fluid dynamics / Reaction-Diffusion / Fracture mechanics / 揚力・抗力の数値計算 / 渦法と渦層 / ナヴィエ・ストークス方程式 / 精度保証計算 / 並列計算アルゴリズム / 漏洩・透過境界条件 / 差分微分方程式 / 数値解の誤差評価 / SOR-ニュートン法 / drag and lift / vortex method and vortex sheet / leak boundary condition / domain decomposition method / parallel computation algorithm / Navier-Stokes equations / computation with guaranteed error bounds / 偏微分方程式の数値解法 / 非線形現象の数理解析 / 科学計算 / 非線形問題 / Numerical solution of PDEs / Mathematical analysis for nonlinear phenomena / Validated numerical computation / Numerical verification method / 偏微分方程式 / 境界値問題 / 逆関数定理 / 非線形偏微分方程式 / finite element methods / partial differential equations / boundary value problems / the inverse function theorem / 微分不可能 / 方程式 / 平滑化 / nonsmooth equations / smoothing methods / Newton methods / convergence analysis / 等角写像 / 極小局面 / 平均曲率 / 変分原理 / データの滑らかさ / Green行列 / Yamamotoの原理 / 数値解析学 / conformal mappings / minimal surfaces / mean curvature / variational principle / Numerical verification / 応用数学 / 応用解析 / 非線形微分方程式の定性的性質 / 生物数学 / 計算機アルゴリズム / 生物数学自由境界問題 / 自由境界問題の解析 / 数式処理 / Applied Mathematics / Applied Analysis / Numerical Analysis / Qualitative properties of nonlinear differential equations / Biomatheamtics / Free boundary problems Less
  • Research Projects

    (25 results)
  • Co-Researchers

    (57 People)
  •  Synthetic approach for new developments of self-validating numerics

    • Principal Investigator
      NAKAO Mitsuhiro
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  Error Analysis of Ritz Finite Element Methods

    • Principal Investigator
      TSUCHIYA Takuya
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ehime University
  •  Finite difference and finite element analysis for partial differential equationsPrincipal Investigator

    • Principal Investigator
      YAMAMOTO Tetsuro
    • 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
      Ehime University
  •  Smoothing Newton methods for nonsmooth equations

    • Principal Investigator
      CHEN Xiaojun
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Shimane University
  •  Self-validating numerics with applications to computational science and technology

    • Principal Investigator
      KANAO Maitsuhiro
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYUSHU UNIVERSITY
  •  Error analysis of finite element solutions to nonlinear partial differential equations

    • Principal Investigator
      TSUCHIYA Takuya
    • 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
      Ehime University
  •  Mathematical analysis of linear/nonlinear iterative algorithms including GMRES, SOR, etc.Principal Investigator

    • Principal Investigator
      YAMAMOTO Tetsuro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ehime University
  •  有限要素解に対する後験的誤差評価の研究

    • Principal Investigator
      土屋 卓也
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ehime University
  •  New Approaches to Scientific Computing and Applied Analysis

    • Principal Investigator
      NAKAO Mitsyhiro
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYUSYU UNIVERSITY
  •  非線形方程式の理論的および数値解析的研究Principal Investigator

    • Principal Investigator
      山本 哲朗
    • 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
      Ehime University
  •  Co-operative Research on Numerical Solutions in Seience and Technology

    • Principal Investigator
      TABATA Masahisa
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  非線形偏微分方程式論における実解析的方法

    • Principal Investigator
      鈴木 貴
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Ehime University
  •  Co-operative Research on the Mathematical Analysis of Large Scientific Computation

    • Principal Investigator
      MIYOSHI T
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Yamaguchi University
  •  位相群の距離化可能性,自由位相群の研究

    • Principal Investigator
      野倉 嗣紀
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Ehime University
  •  Co-operative Research of General Purpose FORTRAN Graphic Software System for Scientific Computation

    • Principal Investigator
      MORI Masatake
    • Project Period (FY)
      1993 – 1995
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Engineering fundamentals
    • Research Institution
      School of Engineering, University of Tokyo
  •  微分不可能項をもつ非線形方程式の解析Principal Investigator

    • Principal Investigator
      山本 哲朗
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ehime University
  •  Comprehensive Study on Fundamental and Applied Numerical Algorithms

    • Principal Investigator
      MITSUI Taketomo
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  Synthetical Researches on Applied Analysis and Computational Mathematics

    • Principal Investigator
      NISHIDA Takaaki
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYOTO UNIVERSITY
  •  関数解析学における関数空間と環の構造の研究

    • Principal Investigator
      前田 周一郎
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Ehime University
  •  Co-Operative Research of Numerical Analysis of Nonlinear Problems

    • Principal Investigator
      SHINOHARA Yoshitane
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokushima University
  •  制限された幾何学的条件下の量子多体系の理論Principal Investigator

    • Principal Investigator
      長岡 洋介, 山本 哲朗
    • Project Period (FY)
      1988 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
      Ehime University
  •  代数・有限群・有限幾何の研究

    • Principal Investigator
      木村 浩
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Ehime University
  •  A Co-operative Study on Computational Mathematics and Applied AnalysisPrincipal Investigator

    • Principal Investigator
      YAMAMOTO Tetsuro
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ehime University
  •  位相線形空間とその上の作用素の研究

    • Principal Investigator
      前田 周一郎
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Ehime University
  •  Co-operative research for numerical analysis and applied analysis

    • Principal Investigator
      MIMURA Masayasu
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      HIROSHIMA UNIVERSITY
  • 1.  TSUCHIYA Takuya (00163832)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 2.  MORI Masatake (20010936)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 3.  NAKAO Mitshuhiro (10136418)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 4.  OKAMOTO Hisashi (40143359)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  KAWARADA Hideo (90010793)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  FANG Qing (10243544)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 7.  MIMURA Masayasu (50068128)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  MITSUI Taketomo (50027380)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 9.  USHIJIMA Teruo (10012410)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 10.  MIYOSHI T (60040101)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 11.  SHINOHARA Yoshitane (40035803)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 12.  NISHIDA Takaaki (70026110)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 13.  MUROTA Kazuo (50134466)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 14.  CHEN Xiaojun (70304251)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 15.  木村 浩 (70023570)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 16.  TABATA M (30093272)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  KIKUCHI Fumio (40013734)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 18.  IRI Masao (40010722)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 19.  北川 桂一郎 (00025404)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 20.  鈴木 貴 (40114516)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 21.  FUJII Hiroshi (90065839)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  OISHI shin'ichi (20139512)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  前田 周一郎 (70036185)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  北川 高嗣 (60153095)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  野倉 嗣紀 (00036419)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  坂口 茂 (50215620)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  内藤 学 (00106791)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 28.  YAMAGUCHI Masaya (30025796)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  FUJITA Hiroshi (80011427)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  NAKASHIMA Masaharu (40041230)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  TANABE Kunio (50000203)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  OYANAGI Yoshio (60011673)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  HASHIMOTO Takahiro (60291499)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  FUKUSHIMA Masao (30089114)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  YAMASAKI Maretsugu (70032935)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  SUGIE Jitsuro (40196720)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  FURUMOCHI Tetsuo (40039128)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  IMAI Hitoshi (80203298)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  ISO Yusuke (70203065)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  須藤 清一 (50196903)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  瀧川 真也 (00211350)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  平出 耕一 (50181136)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  庭さき 隆 (50218252)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  永見 啓応 (50036183)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  戸瀬 信之 (00183492)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  青山 陽一 (00036443)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  宮本 雅彦 (30125356)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  西浦 康政 (00131277)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  名取 亮 (70013745)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  大西 和榮 (20078554)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  友枝 謙二 (60033916)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  加古 孝 (30012488)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  若木 宏文 (90210856)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 54.  長岡 洋介 (60022539)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 55.  山田 一雄 (10022542)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 56.  高野 健一 (00197112)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 57.  QING Fang
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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