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KOBAYASHI Kenta  小林 健太

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Researcher Number 60432902
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Affiliation (Current) 2025: 一橋大学, 大学院経営管理研究科, 教授
Affiliation (based on the past Project Information) *help 2017 – 2024: 一橋大学, 大学院経営管理研究科, 教授
2016 – 2017: 一橋大学, 大学院商学研究科, 教授
2015 – 2016: 一橋大学, 大学院商学研究科, 准教授
2014 – 2016: 一橋大学, 商学研究科, 准教授
2012 – 2013: 一橋大学, 大学院商学研究科, 准教授 … More
2011 – 2012: 一橋大学, 大学院・商学研究科, 准教授
2008 – 2010: Kanazawa University, 数物科学系, 准教授
2007: Kanazawa University, 自然科学研究科, 准教授 Less
Review Section/Research Field
Principal Investigator
Basic Section 12040:Applied mathematics and statistics-related / Foundations of mathematics/Applied mathematics / General mathematics (including Probability theory/Statistical mathematics) / Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related / Basic Section 12030:Basic mathematics-related
Except Principal Investigator
Basic Section 12040:Applied mathematics and statistics-related / Foundations of mathematics/Applied mathematics / Money/ Finance / Medium-sized Section 60:Information science, computer engineering, and related fields / Mathematical Sciences in Search of New Cooperation / Global analysis
Keywords
Principal Investigator
有限要素法 / 精度保証付き数値計算 / 誤差評価 / 補間誤差解析 / 補間誤差評価 / 補間誤差定数 / 四面体要素 / 三角形要素 / 補間誤差 / Navier-Stokes方程式 … More / 非凸領域 / 精度保証 / 制度保証付き数値計算 / 計算機援用証明 / 逆作用素ノルム / 不連続ガレルキン法 / 非線形偏微分方程式 / 固有値問題 / 外接半径条件 / 外接半径 / 高次Lagrange補間 / Lagrange補間 / 無限次元固有値問題 / メッシュリファインメント / 爆発解 / 解の存在と一意性 / 流体方程式 / 非線形方程式 / 特異性 / 偏微分方程式 / ボアソン方程式 / 重調和方程式 / ポアソン方程式 … More
Except Principal Investigator
有限要素法 / 誤差解析 / 計算機援用証明 / 精度保証付き数値計算 / 非線形偏微分方程式 / 異方的メッシュ / 形状正則性 / 誤差評価 / 不連続ガレルキン法 / 有限体積法 / 不連続Galerkin法 / 世界金融危機 / 数値解析 / 射影誤差評価 / 線形作用素の可逆性 / Hypercircle法 / Divergence-free条件 / 並列計算 / 鞍点型の固有値問題 / 非自己共役作用素 / 計算機援用証明法 / ナビエ・ストークス方程式の定常解 / 固有値問題の厳密評価 / 厳密計算ライブラリ / ナビエ・ストークス方程式 / 線形作用素の逆作用素 / システミックリスク / 欧州問題 / 金融摩擦 / 金融規制 / グローバル金融規制・危機管理 / 金融政策 / 要素形状 / 要素分割 / 楕円型界面問題 / 発展方程式 / 構造保存型数値解法 / 非線形問題 / 放物型方程式 / 楕円型方程式 / トロピカル幾何学 / コンピュータービジョン / 脳磁図 / 球デザイン / 代数ビジョン / 最小・最大角条件 / 外接半径条件 / 差分商 / Lagrange補間 / 曲面の面積 / Crouzeix-Raviart補間 / (射影)外接半径 / Lagrage補間 / 外接半径 / 関数補間 / 応用数学 / 金融論 / 質への逃避 / 金利・為替 / 金融危機 / モラルハザード / 無裁定条件 / 量的緩和 / 株式市場 / 通貨価値 / 金利 / 数理ファイナンス / 国際金融 / 最小化法 / 変分法 / 体積保存問題 / 非局所解析 / 最適化 / 偏微分方程式 / 自由境界問題 / 離散勾配流 / 自由境界 / 特異点 / 変分問題 Less
  • Research Projects

    (18 results)
  • Research Products

    (139 results)
  • Co-Researchers

    (36 People)
  •  補間誤差解析を超えて切り拓く有限要素法と精度保証付き数値計算の新たなる地平Principal Investigator

    • Principal Investigator
      小林 健太
    • Project Period (FY)
      2024 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
      Basic Section 12030:Basic mathematics-related
      Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related
    • Research Institution
      Hitotsubashi University
  •  Error analysis of finite element methods without the shape regularity assumption

    • Principal Investigator
      土屋 卓也
    • Project Period (FY)
      2024 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Osaka University
  •  計算機援用「超」ホモトピー法---精度保証付き数値計算の新次元---

    • Principal Investigator
      渡部 善隆
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 60:Information science, computer engineering, and related fields
    • Research Institution
      Kyushu University
  •  Finite element error analysis on anisotropic meshes

    • Principal Investigator
      土屋 卓也
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Osaka University
      Ehime University
  •  Computer-assisted solution verification for 3D flows with large Reynolds numbers

    • Principal Investigator
      劉 雪峰
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Tokyo Woman's Christian University
      Niigata University
  •  精度保証付き数値計算の前進---有限と無限をつなぐもの---

    • Principal Investigator
      渡部 善隆
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Kyushu University
  •  新たな段階に入った有限要素法基盤の精度保証付き数値計算の進展Principal Investigator

    • Principal Investigator
      小林 健太
    • Project Period (FY)
      2020 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Hitotsubashi University
  •  Restructuring Global Financial Regulation and Crisis Management in the New Phase after the Global Financial Crisis

    • Principal Investigator
      Ogawa Eiji
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Money/ Finance
    • Research Institution
      Hitotsubashi University
  •  Advanced research on the Numerical verification Method based on the Finite Element MethodPrincipal Investigator

    • Principal Investigator
      KOBAYASHI Kenta
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Hitotsubashi University
  •  Tropical geometry and magnetoencephalography

    • Principal Investigator
      Ueda Kazushi
    • Project Period (FY)
      2015 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical Sciences in Search of New Cooperation
    • Research Institution
      The University of Tokyo
  •  A new development of mathematical theory of Discontinuous Galerkin FEM

    • Principal Investigator
      Saito Norikazu
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      The University of Tokyo
  •  What is ``good" shape of elements in FEM

    • Principal Investigator
      Saito Norikazu
    • Project Period (FY)
      2015 – 2016
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      The University of Tokyo
  •  Study of interpolation error analysis for finite element methods

    • Principal Investigator
      Tsuchiya Takuya
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Ehime University
  •  The Global Financial Crisis and Its Effects on Currencies and Finance: Evaluation Methods Revisited

    • Principal Investigator
      OGAWA Eiji
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Money/ Finance
    • Research Institution
      Hitotsubashi University
  •  Research on the efficient calculation and numerical verification for the 3-d finite element methodPrincipal Investigator

    • Principal Investigator
      KOBAYASHI Kenta
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Hitotsubashi University
  •  Researches on the high-accurate computation and numerical verification for the solution of the partial differential equation with singularityPrincipal Investigator

    • Principal Investigator
      KOBAYASHI Kenta
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hitotsubashi University
      Kanazawa University
  •  Research on high accuracy computing and numerical verification for Finite Element Method solution in a non-convex domainPrincipal Investigator

    • Principal Investigator
      KOBAYSHI Kenta
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanazawa University
  •  New topics for partial differential equations whose solution has singular sets

    • Principal Investigator
      OMATA Seiro
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Kanazawa University

All 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 Other

All Journal Article Presentation

  • [Journal Article] Lectures on the error analysis of interpolation on simplicial triangulations without the shape regularity assumption and its applications to finite element methods, Part 2: Lagrange interpolation on tetrahedrons2023

    • Author(s)
      Kenta Kobayashi, Takuya Tsuchiya
    • Journal Title

      Memoirs of the Faculty of Science, Ehime University

      Volume: 25 Pages: 1-27

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-21K03372
  • [Journal Article] Lectures on the error analysis of interpolation on simplicial triangulations without the shape-regularity assumption, Part 2: Lagrange interpolation on tetrahedrons2023

    • Author(s)
      小林健太, 土屋卓也
    • Journal Title

      愛媛大学理学部紀要

      Volume: 25 Pages: 1-27

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-21K03372
  • [Journal Article] Anisotropic interpolation error estimates using a new geometric parameter2023

    • Author(s)
      Hiroki Ishizaka, Kenta Kobayashi, Takuya Tsuchiya
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 40 Issue: 1 Pages: 475-512

    • DOI

      10.1007/s13160-022-00535-w

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-21K03372, KAKENHI-PROJECT-20H01820
  • [Journal Article] Improvement of infinity norm estimations related to computer-assisted proofs of the Kolmogorov problem2022

    • Author(s)
      Kobayashi Kenta、Watanabe Yoshitaka
    • Journal Title

      JSIAM Letters

      Volume: 14 Issue: 0 Pages: 92-95

    • DOI

      10.14495/jsiaml.14.92

    • ISSN
      1883-0609, 1883-0617
    • Language
      English
    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-23K20812, KAKENHI-PROJECT-20H01820
  • [Journal Article] Lectures on the error analysis of interpolation on simplicial triangulations without the shape regularity assumption and its applications to finite element methods. part 1: Lagrange interpolation on triangles2022

    • Author(s)
      小林健太, 土屋卓也
    • Journal Title

      愛媛大学理学部紀要

      Volume: 24 Pages: 9-42

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20H01820
  • [Journal Article] Lectures on the error analysis of interpolation on simplicial triangulations without the shape regularity assumption and its applications to finite element methods, Part 1: Lagrange interpolation on triangles2022

    • Author(s)
      Kenta Kobayashi, Takuya Tsuchiya
    • Journal Title

      Memoirs of the Faculty of Science, Ehime University

      Volume: 24

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-21K03372
  • [Journal Article] Lectures on the Error Analysis of Interpolation on Simplicial Triangulations without the Shape Regularity Assumption and Its Applications to Finite Element Methods Part 1: Lagrange Interpolation on Triangles2022

    • Author(s)
      Kobayashi Kenta、Tsuchiya Takuya
    • Journal Title

      Memoirs of the Faculty of Science, Ehime University

      Volume: 24 Pages: 9-42

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-21K03372
  • [Journal Article] A new geometric condition equivalent to the maximum angle condition for tetrahedrons2021

    • Author(s)
      Ishizaka Hiroki、Kobayashi Kenta、Suzuki Ryo、Tsuchiya Takuya
    • Journal Title

      Computers & Mathematics with Applications

      Volume: 99 Pages: 323-328

    • DOI

      10.1016/j.camwa.2021.08.017

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-21K03372, KAKENHI-PROJECT-20H01820
  • [Journal Article] Crouzeix-Raviart and Raviart-Thomas finite-element error analysis on anisotropic meshes violating the maximum-angle condition2021

    • Author(s)
      Ishizaka Hiroki、Kobayashi Kenta、Tsuchiya Takuya
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 38 Issue: 2 Pages: 645-675

    • DOI

      10.1007/s13160-020-00455-7

    • NAID

      210000174512

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03372, KAKENHI-PROJECT-20H01820
  • [Journal Article] Error analysis of Lagrange interpolation on tetrahedrons2020

    • Author(s)
      Kobayashi Kenta、Tsuchiya Takuya
    • Journal Title

      Journal of Approximation Theory

      Volume: 249 Pages: 105302-105302

    • DOI

      10.1016/j.jat.2019.105302

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Journal Article] General theory of interpolation error estimates on anisotropic meshes2020

    • Author(s)
      Ishizaka Hiroki、Kobayashi Kenta、Tsuchiya Takuya
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 38 Issue: 1 Pages: 163-191

    • DOI

      10.1007/s13160-020-00433-z

    • NAID

      210000175823

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20H01820
  • [Journal Article] Error analysis of Crouzeix?Raviart and Raviart?Thomas finite element methods2018

    • Author(s)
      Kobayashi Kenta、Tsuchiya Takuya
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 35 Issue: 3 Pages: 1191-1211

    • DOI

      10.1007/s13160-018-0325-9

    • NAID

      210000166840

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K18738, KAKENHI-PROJECT-16H03950
  • [Journal Article] Approximating surface areas by interpolations on triangulations2017

    • Author(s)
      Kenta KOBAYASHI, Takuya TSUCHIYA
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 34 Issue: 2 Pages: 509-530

    • DOI

      10.1007/s13160-017-0253-0

    • NAID

      210000174791

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K18738, KAKENHI-PROJECT-16H03950, KAKENHI-PROJECT-15H03635
  • [Journal Article] A recursive formula for the circumradius of the n-simplex2016

    • Author(s)
      Kenta Kobayashi
    • Journal Title

      Forum Geometricorum

      Volume: 16 Pages: 179-184

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-25400198
  • [Journal Article] Extending Babuska-Aziz's theorem to higher-order Lagrange interpolation2016

    • Author(s)
      K. Kobayashi, T. Tsuchiya
    • Journal Title

      Applications of Mathematics

      Volume: 61 Issue: 2 Pages: 121-133

    • DOI

      10.1007/s10492-016-0125-y

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03635, KAKENHI-PROJECT-25400198, KAKENHI-PROJECT-25285098, KAKENHI-PROJECT-16H03950, KAKENHI-PROJECT-26400201
  • [Journal Article] A recursive formula for the circumradius of the n-simplex2016

    • Author(s)
      Kenta Kobayashi
    • Journal Title

      Forum Geometricorum

      Volume: 16 Pages: 179-184

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Journal Article] A recursive formula for the circumradius of the n-simplex2016

    • Author(s)
      Kenta Kobayashi
    • Journal Title

      Forum Geometricorum

      Volume: 16 Pages: 179-184

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Journal Article] A recursive formula for the circumradius of the n-simplex2016

    • Author(s)
      Kenta Kobayashi
    • Journal Title

      Forum Geometricorum

      Volume: 16 Pages: 179-184

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H03635
  • [Journal Article] 投資行動から構築する金融市場の価格変動モデル――決定論的行動によるランダムな値動きの発生2016

    • Author(s)
      小林健太
    • Journal Title

      小川英治編著『世界金融危機と金利・為替-通貨・金融への影響と評価手法の再構築』東京大学出版会

      Volume: 1 Pages: 99-121

    • Data Source
      KAKENHI-PROJECT-25285098
  • [Journal Article] A priori error estimates for Lagrange interpolation on triangles2015

    • Author(s)
      Kenta Kobayashi, Takuya Tsuchiya
    • Journal Title

      Applications of Mathematics

      Volume: 60 Issue: 5 Pages: 485-499

    • DOI

      10.1007/s10492-015-0108-4

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400201, KAKENHI-PROJECT-25400198, KAKENHI-PROJECT-25285098
  • [Journal Article] Backward error bounds for 2×2 linear systems arising in the diagonal pivoting method2015

    • Author(s)
      Kenta Kobayashi and Takeshi Ogita
    • Journal Title

      NOLTA

      Volume: 6 Issue: 3 Pages: 383-390

    • DOI

      10.1587/nolta.6.383

    • NAID

      130005085591

    • ISSN
      2185-4106
    • Language
      English
    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-25400198, KAKENHI-PROJECT-25285098
  • [Journal Article] On the circumradius condition for piecewise linear triangular elements2015

    • Author(s)
      K. Kobayashi, T. Tsuchiya
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 32 Issue: 1 Pages: 65-76

    • DOI

      10.1007/s13160-014-0161-5

    • NAID

      210000169112

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-23340023, KAKENHI-PROJECT-25400198, KAKENHI-PROJECT-26400201, KAKENHI-PROJECT-26247013
  • [Journal Article] A Babu\v{s}ka-Aziz type proof of the circumradius condition2014

    • Author(s)
      K. Kobayashi, T. Tsuchiya
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 31 Issue: 1 Pages: 193-210

    • DOI

      10.1007/s13160-013-0128-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340023, KAKENHI-PROJECT-25400198
  • [Journal Article] Computer-Assisted Uniqueness Proof for Stokes' Wave of Extreme Form2013

    • Author(s)
      Kenta Kobayashi
    • Journal Title

      Nankai Series in Pure, Applied Mathematics and Theoretical Physics

      Volume: 10 Pages: 54-67

    • Data Source
      KAKENHI-PROJECT-22740059
  • [Journal Article] Computer-AssistedUniqueness Proof for Stokes' Wave ofExtreme Form2013

    • Author(s)
      Kenta Kobayashi
    • Journal Title

      Nankai Series in Pure, Applied Mathematics and Theoretical Physics

      Volume: 10巻 Pages: 54-67

    • Data Source
      KAKENHI-PROJECT-22740059
  • [Journal Article] 三角形要素上の補間誤差定数について2011

    • Author(s)
      小林健太
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1733 Pages: 58-77

    • Data Source
      KAKENHI-PROJECT-22740059
  • [Journal Article] 三角形要素上の補間誤差定数について2011

    • Author(s)
      小林健太
    • Journal Title

      数理解析研究所講究録

      Volume: 1733巻 Pages: 58-77

    • Data Source
      KAKENHI-PROJECT-22740059
  • [Journal Article] On the global uniqueness of Stokes' wave of extreme form2010

    • Author(s)
      Kenta Kobayashi
    • Journal Title

      IMA Journal of Applied Mathematics

      Volume: 75巻5号 Pages: 647-675

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Journal Article] A constructive a priori error estimation for finite element discretizations in a non-convex domain using singular functions2009

    • Author(s)
      K. Kobayashi
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics Vol.26[2/3]

      Pages: 493-516

    • NAID

      10028169365

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Journal Article] On the critical case of Okamoto's continuous non-differentiable functions2009

    • Author(s)
      K. Kobayashi
    • Journal Title

      Proceedings of the Japan Academy, Series A Vol.85[8]

      Pages: 101-104

    • NAID

      120005447707

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Journal Article] A constructive a priori error estimation for finite element discretizations in a non-convex domain using singular functions2009

    • Author(s)
      Kenta Kobayashi
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics 26[2/3]

      Pages: 493-516

    • NAID

      10028169365

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Journal Article] A constructive a priori error estimation for finite element discretizations in a non-convex domain using singular functions2009

    • Author(s)
      Kobayashi, K
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics Vol.26(掲載決定)

    • NAID

      10028169365

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Journal Article] On the critical case of Okamoto's continuous non-differentiable functions2009

    • Author(s)
      Kenta Kobayashi
    • Journal Title

      Proceedings of the Japan Academy, Series A 85[8]

      Pages: 101-104

    • NAID

      120005447707

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Journal Article] メッシュリファイメントを用いた有限要素解の事前誤差評価2008

    • Author(s)
      小林健太
    • Journal Title

      京都大学数理解析研究所講究録 Vol.1614

      Pages: 180-186

    • Data Source
      KAKENHI-PROJECT-19740052
  • [Journal Article] Verified numerical computation of solutions for the stationary Navier-Stokes equation in nonconvex polygonal domains2007

    • Author(s)
      K. Hashimoto, K. Kobayashi, M.T. Nakao
    • Journal Title

      Hokkaido Mathematical Journal vol.36[4]

      Pages: 777-799

    • Data Source
      KAKENHI-PROJECT-19740052
  • [Journal Article] On the global uniqueness of Stokes' wave of extreme form

    • Author(s)
      K. Kobayashi
    • Journal Title

      IMA Journal of Applied Mathematics (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] Kolmogorov問題に対する計算機援用証明における最大値ノルム評価とその応用2021

    • Author(s)
      小林健太, 渡部善隆
    • Organizer
      日本応用数理学会2021年研究部会連合発表会
    • Data Source
      KAKENHI-PROJECT-20H01820
  • [Presentation] A remark on L2-error estimations for FEM solutions on non-convex domains2019

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Numerical Verification (NIVEA) 2019
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] The circumradius condition and its application2019

    • Author(s)
      Kenta Kobayashi
    • Organizer
      International Congress on Industrial and Applied Mathematics (ICIAM2019)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] The circumradius condition and its application2019

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Australia New Zealand Industrial and Applied Mathematics 55th Annual Conference (ANZIAM 2019)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] The relation between Crouzeix-Raviart and Raviart-Thomas finite element methods2018

    • Author(s)
      K. Kobayashi
    • Organizer
      International Workshop on Numerical Methods for Partial Differential Equations
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03635
  • [Presentation] The relation between Crouzeix-Raviart and Raviart-Thomas finite element methods2018

    • Author(s)
      Kenta Kobayashi
    • Organizer
      International Workshop on Numerical Methods for Partial Differential Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] The relation between Crouzeix-Raviart and Raviart-Thomas finite element methods2018

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Australia New Zealand Industrial and Applied Mathematics 54th Annual Conference (ANZIAM2018)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] The relation between Crouzeix-Raviart and Raviart-Thomas finite element methods2018

    • Author(s)
      K. Kobayashi
    • Organizer
      Australia New Zealand Industrial and Applied Mathematics 54th Annual Conference
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03635
  • [Presentation] 万能の有限要素はあるか?2018

    • Author(s)
      小林健太
    • Organizer
      北陸応用数理研究会2018
    • Data Source
      KAKENHI-PROJECT-15H03635
  • [Presentation] Approximating surface area by interpolations on triangulations2017

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      日本数学会2017年度 年会
    • Place of Presentation
      首都大学東京 南大沢キャンパス(東京都八王子市)
    • Year and Date
      2017-03-26
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] Error analysis of Lagrange interpolation on tetrahedrons2017

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Australia New Zealand Industrial and Applied Mathematics 53th Annual Conference
    • Place of Presentation
      ハーンドルフ(オーストラリア)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03635
  • [Presentation] Approximating surface area by interpolations on triangulations2017

    • Author(s)
      Kenta Kobayashi, Takuya Tsuchiya
    • Organizer
      International Workshop on Numerical Verification and its Applications 2017 (INVA2017)
    • Place of Presentation
      Hotel Breeze Bay Marina, Miyako Island, Okinawa
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] Error analysis of Lagrange interpolation on tetrahedrons2017

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Australia New Zealand Industrial and Applied Mathematics 53th Annual Conference (ANZIAM 2017)
    • Place of Presentation
      The Adelaide Hills Convention Centre, Hahndorf, Australia
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] Error analysis of Lagrange interpolation on tetrahedrons2017

    • Author(s)
      Kenta Kobayashi, Takuya Tsuchiya
    • Organizer
      Workshop on Free Boundary Problems and Nonlinear PDEs
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] Error analysis of Lagrange interpolation on tetrahedrons2017

    • Author(s)
      Kenta Kobayashi, Takuya Tsuchiya
    • Organizer
      International Workshop on Numerical Verification and its Applications 2017 (INVA2017)
    • Place of Presentation
      Hotel Breeze Bay Marina, Miyako Island, Okinawa
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] Error analysis of Lagrange interpolation on tetrahedrons2017

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Australia New Zealand Industrial and Applied Mathematics 53th Annual Conference (ANZIAM 2017)
    • Place of Presentation
      The Adelaide Hills Convention Centre, Hahndorf, Australia
    • Year and Date
      2017-02-17
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] Approximating surface areas by interpolations on triangulations2017

    • Author(s)
      小林健太, 土屋卓也
    • Organizer
      日本応用数理学会第13回研究部会連合発表会
    • Place of Presentation
      電気通信大学(東京都調布市)
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] 三角形・四面体上の補間誤差評価とその有限要素法への応用2017

    • Author(s)
      小林健太
    • Organizer
      日本応用数理学会・三部会連携「応用数理セミナー」
    • Data Source
      KAKENHI-PROJECT-15H03635
  • [Presentation] Approximating surface areas by interpolations on triangulations2017

    • Author(s)
      小林健太, 土屋卓也
    • Organizer
      日本数学会2017年度年会
    • Place of Presentation
      首都大学東京南大沢キャンパス(東京都八王子市)
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] Crouzeix-Raviart型有限要素法の誤差解析について2017

    • Author(s)
      小林健太
    • Organizer
      RIMS共同研究(公開型):数値解析学の最前線:理論・方法・応用
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03635
  • [Presentation] Approximating surface areas by interpolations on triangulations2017

    • Author(s)
      小林健太, 土屋卓也
    • Organizer
      日本応用数理学会2017年研究部会連合発表会
    • Place of Presentation
      電気通信大学(東京都・調布市)
    • Year and Date
      2017-03-06
    • Data Source
      KAKENHI-PROJECT-15H03635
  • [Presentation] Approximating surface area by interpolations on triangulations2017

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      日本応用数理学会 第13回 研究部会連合発表会
    • Place of Presentation
      電気通信大学(東京都調布市)
    • Year and Date
      2017-03-06
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] Error analysis of Lagrange interpolation on tetrahedrons2017

    • Author(s)
      Kenta Kobayashi, Takuya Tsuchiya
    • Organizer
      The second Vietnam International Applied Mathematics Conference (VIAMC 2017)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] 有限要素法の誤差解析と精度保証2016

    • Author(s)
      小林健太
    • Organizer
      Kunitachi One-Day Symposium on the Recent Developments in the Mathematical Science
    • Place of Presentation
      一橋大学、東京都国立市
    • Year and Date
      2016-02-06
    • Data Source
      KAKENHI-PROJECT-25285098
  • [Presentation] The circumradius condition and its application2016

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Numerical Computations: Theory and Algorithms (NUMTA2016)
    • Place of Presentation
      Club Med Resort "Napitia", Calabria, Italy
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] 四面体上のLagrange補間の誤差評価について2016

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      第21回 計算工学講演会
    • Place of Presentation
      朱鷺メッセ 新潟コンベンションセンター(新潟県新潟市)
    • Year and Date
      2016-05-31
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] Error Analysis of Lagrange Interpolation on Tetrahedrons2016

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      第45回 数値解析シンポジウム
    • Place of Presentation
      霧島温泉郷 霧島ホテル(鹿児島県霧島市)
    • Year and Date
      2016-06-09
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] Babu\v{s}ka-Azizの定理の拡張について2016

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      第19回環瀬戸内応用数理研究部会シンポジウム
    • Place of Presentation
      大分県日田市天瀬公民館
    • Year and Date
      2016-01-08
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] Error analysis of Lagrange interpolation on tetrahedrons2016

    • Author(s)
      小林健太, 土屋卓也
    • Organizer
      日本応用数理学会2016年度年会
    • Place of Presentation
      北九州国際会議場(福岡県北九州市)
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] A priori error estimates of the Lagrange interpolation on triangles and tetrahedrons2016

    • Author(s)
      Kenta KOBAYASHI, Takuya TSUCHIYA
    • Organizer
      Workshop on Numerical Methods of Nonlinear Problems
    • Place of Presentation
      Tsinghua Sanya International Mathematics Forum, Sanya, P.R. China
    • Year and Date
      2016-01-14
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] Error analysis of Lagrange interpolation on tetrahedrons2016

    • Author(s)
      小林健太, 土屋卓也
    • Organizer
      日本応用数理学会2016年度年会
    • Place of Presentation
      北九州国際会議場(福岡県北九州市)
    • Year and Date
      2016-09-13
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] Error analysis of Lagrange interpolation on tetrahedrons2016

    • Author(s)
      小林健太, 土屋卓也
    • Organizer
      研究集会:現象解明に向けた数値解析学の新展開II
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2016-10-20
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] Error Analysis of Lagrange Interpolation on Tetrahedrons2016

    • Author(s)
      Kenta Kobayashi, Takuya Tsuchiya
    • Organizer
      17th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics (SCAN 2016)
    • Place of Presentation
      Uppsala University, Sweden
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] 四面体上のLagrange補間の誤差評価について2016

    • Author(s)
      小林健太, 土屋卓也
    • Organizer
      第21回計算工学講演会
    • Place of Presentation
      朱鷺メッセ:新潟コンベンションセンター(新潟県新潟市)
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] 有限要素法の誤差解析と精度保証2016

    • Author(s)
      小林健太
    • Organizer
      Kunitachi One-Day Symposium on the Recent Developments in the Mathematical Science
    • Place of Presentation
      一橋大学(東京都国立市)
    • Year and Date
      2016-02-06
    • Data Source
      KAKENHI-PROJECT-25400198
  • [Presentation] Error Analysis of Lagrange Interpolation on Tetrahedrons2016

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      日本数学会 秋季総合分科会
    • Place of Presentation
      関西大学千里山キャンパス(大阪府吹田市)
    • Year and Date
      2016-09-18
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] Error analysis of Lagrange interpolation on tetrahedrons2016

    • Author(s)
      小林健太, 土屋卓也
    • Organizer
      日本数学会
    • Place of Presentation
      関西大学(大阪府・吹田市)
    • Year and Date
      2016-09-15
    • Data Source
      KAKENHI-PROJECT-15H03635
  • [Presentation] Error Analysis of Lagrange Interpolation on Tetrahedrons2016

    • Author(s)
      Kenta Kobayashi, Takuya Tsuchiya
    • Organizer
      SCAN2016
    • Place of Presentation
      Uppsala University, Uppsala, Sweden
    • Year and Date
      2016-09-28
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] The circumradius condition and its application2016

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Numerical Computations: Theory and Algorithms (NUMTA2016)
    • Place of Presentation
      Club Med Resort "Napitia", Calabria, Italy
    • Year and Date
      2016-06-23
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] Error analysis of Lagrange interpolation on tetrahedrons2016

    • Author(s)
      小林健太, 土屋卓也
    • Organizer
      日本数学会2016年度秋季総合分科会
    • Place of Presentation
      関西大学千里山キャンパス(大阪府吹田市)
    • Data Source
      KAKENHI-PROJECT-16H03950
  • [Presentation] Error analysis of Lagrange interpolation on tetrahedrons2016

    • Author(s)
      小林健太, 土屋卓也
    • Organizer
      日本応用数理学会
    • Place of Presentation
      北九州国際会議場(福岡県・北九州市)
    • Year and Date
      2016-09-12
    • Data Source
      KAKENHI-PROJECT-15H03635
  • [Presentation] Error Estimates for Lagrange Interpolation on Triangles2015

    • Author(s)
      Kenta KOBAYASHI, Takuya TSUCHIYA
    • Organizer
      Applications of Mathematics 2015
    • Place of Presentation
      Czech Academy of Sciences, Prague, Czech Republic
    • Year and Date
      2015-11-22
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] On the interpolation constants over triangular elements2015

    • Author(s)
      Kenta Kobayashi
    • Organizer
      FJWNC 2015, The First French-Japanese Workshop on Numerical Computations
    • Place of Presentation
      Universite Pierre et Marie Curie (Paris 6), Paris, France
    • Year and Date
      2015-03-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400198
  • [Presentation] 有限要素法の誤差解析と精度保証付き数値計算2015

    • Author(s)
      小林健太
    • Organizer
      東京理科大学理工学部数学科談話会
    • Place of Presentation
      東京理科大学(千葉県野田市)
    • Year and Date
      2015-10-13
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400198
  • [Presentation] 三角形要素上の関数補間とその誤差について2015

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      日本応用数理学会 2015年研究部会連合発表会
    • Place of Presentation
      明治大学中野キャンパス(東京都中野区)
    • Year and Date
      2015-03-07
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] Babu\v{s}ka-Azizの定理の高次Lagrange補間への拡張2015

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      第44回数値解析シンポジウム
    • Place of Presentation
      山梨県甲州市 「ぶどうの丘」
    • Year and Date
      2015-06-10
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] 有限要素法の誤差解析と精度保証付き数値計算2015

    • Author(s)
      小林健太
    • Organizer
      東京理科大学理工学部数学科談話会
    • Place of Presentation
      東京理科大学、千葉県野田市
    • Year and Date
      2015-10-13
    • Invited
    • Data Source
      KAKENHI-PROJECT-25285098
  • [Presentation] 有限要素法の誤差解析と精度保証付き数値計算2015

    • Author(s)
      小林健太
    • Organizer
      東京理科大学理工学部数学科談話会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2015-10-13
    • Data Source
      KAKENHI-PROJECT-15H03635
  • [Presentation] On the interpolation constants over triangular elements2015

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Applications of Mathematics 2015 (AM2015)
    • Place of Presentation
      Academy of Sciences, Prague, Czech Republic
    • Year and Date
      2015-11-19
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25285098
  • [Presentation] On the interpolation constants over triangular elements2015

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Applications of Mathematics 2015 (AM2015)
    • Place of Presentation
      Academy of Sciences, Prague, Czech Republic
    • Year and Date
      2015-11-19
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400198
  • [Presentation] Babuska-Azizの定理の高次Lagrange補間への拡張2015

    • Author(s)
      小林健太・土屋卓也
    • Organizer
      第44回数値解析シンポジウム(NAS2015)
    • Place of Presentation
      甲州市勝沼ぶどうの丘(山梨県甲州市)
    • Year and Date
      2015-06-10
    • Data Source
      KAKENHI-PROJECT-25400198
  • [Presentation] Babuska-Azizの定理の高次Lagrange補間への拡張2015

    • Author(s)
      小林健太・土屋卓也
    • Organizer
      第44回数値解析シンポジウム(NAS2015)
    • Place of Presentation
      甲州市勝沼ぶどうの丘、山梨県甲州市
    • Year and Date
      2015-06-10
    • Data Source
      KAKENHI-PROJECT-25285098
  • [Presentation] Babu\v{s}ka-Azizの定理の拡張について2015

    • Author(s)
      小林健太、土屋卓也
    • 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(滋賀県大津市)
    • Year and Date
      2015-12-17
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] Computer-Assisted Uniqueness Proof for Stokes' Wave of Extreme Form2014

    • Author(s)
      Kenta Kobayashi
    • Organizer
      SCAN2014, 16th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics
    • Place of Presentation
      Department of Computer Science, University of Wurzburg, Germany
    • Year and Date
      2014-09-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400198
  • [Presentation] Error Estimations of Interpolations on Triangular Elements2014

    • Author(s)
      Kenta Kobayashi,Takuya Tsuchiya
    • Organizer
      SCAN2014
    • Place of Presentation
      University of Wurzburg, Germany
    • Year and Date
      2014-09-23
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] 三角形要素上のLagrange補間の誤差について2014

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      第3回岐阜数理科学研究会
    • Place of Presentation
      飛騨高山まちの博物館(岐阜県高山市)
    • Year and Date
      2014-09-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] 金融市場のあるモデリングについて2014

    • Author(s)
      小林健太
    • Organizer
      第12回一橋大学金融研究会
    • Place of Presentation
      一橋大学大学院商学研究科
    • Year and Date
      2014-10-16
    • Data Source
      KAKENHI-PROJECT-25285098
  • [Presentation] 三角形要素上のLagrange補間の誤差について2014

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      応用数理学会2014年度年会
    • Place of Presentation
      政策研究大学院大学(東京都港区)
    • Year and Date
      2014-09-05
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] 三角形要素上のLagrange補間の誤差について2014

    • Author(s)
      小林健太、土屋卓也
    • Organizer
      第43回数値解析シンポジウム
    • Place of Presentation
      ホテル日航八重山(沖縄県石垣市)
    • Year and Date
      2014-06-11
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] 有限要素上の補間誤差定数に関する最近の進展2014

    • Author(s)
      小林健太
    • Organizer
      RIMS研究集会「新時代の科学技術を牽引する数値解析学」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-10-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400198
  • [Presentation] Error estimates for Lagrange interpolations on triangles2014

    • Author(s)
      Kenta Kobayashi,Takuya Tsuchiya
    • Organizer
      The 5th China-Japan-Korea Conference on Numerical Mathematics
    • Place of Presentation
      Ningxia University, Yinchuan, China
    • Year and Date
      2014-08-26
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400201
  • [Presentation] DE積分公式に対する使い勝手の良い事前誤差評価法2012

    • Author(s)
      小林健太
    • Organizer
      応用数理学会2012年度年会
    • Place of Presentation
      稚内全日空ホテル
    • Year and Date
      2012-08-31
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] On the InterpolationConstants over Triangular Elements2012

    • Author(s)
      Kenta Kobayashi
    • Organizer
      2012 International Symposium on Nonlinear Theory and itsApplications(NOLTA2012)
    • Place of Presentation
      Gran Melia Victoria,Palma,Majorca, Spain
    • Year and Date
      2012-10-26
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] アメリカンオプションの最適権利行使境界に対する数値的検証法2011

    • Author(s)
      小林健太
    • Organizer
      日本応用数理学会2011年度年会
    • Place of Presentation
      同志社大学今出川キャンパス
    • Year and Date
      2011-09-16
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] On the interpolation constants over triangular elements2011

    • Author(s)
      Kenta Kobayashi
    • Organizer
      The 7th East Asia SIAM Conference
    • Place of Presentation
      Waseda University Kitakyushu Campus
    • Year and Date
      2011-06-29
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] On the interpolation constants over triangular elements2011

    • Author(s)
      Kenta Kobayashi
    • Organizer
      The 7th East Asia SIAM Conference
    • Place of Presentation
      Waseda University, Kitakyushu Campus
    • Year and Date
      2011-06-29
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] On the global uniqueness of Stokes' wave of extreme form2011

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Emerging Topics on Differential Equations and their Applications - Sino-Japan Conference of Young Mathematicians
    • Place of Presentation
      Nankai University, China
    • Year and Date
      2011-12-06
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] On the global uniqueness of Stokes' wave of extreme form2011

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Emerging Topics on Differential Equations and their Applications-Sino-Japan Conference of Young Mathematicians
    • Place of Presentation
      Nankai University, Tianjin, China(招待講演)
    • Year and Date
      2011-12-06
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] 三角形要素上の補間誤差定数について2010

    • Author(s)
      小林健太
    • Organizer
      研究集会:科学技術計算アルゴリズムの数理的基盤と展開
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2010-10-19
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] On the interpolation constant over triangular elements2010

    • Author(s)
      Kenta Kobayashi
    • Organizer
      International Workshop on Numerical Verification and its Applications 2010 (INVA2010)
    • Place of Presentation
      Hotel Lido Azzurro(Tokyo)
    • Year and Date
      2010-03-13
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] On the interpolation constants over triangular elements2010

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Conference on Inequalities and Applications '10
    • Place of Presentation
      Hajduszoboszlo, Hungary
    • Year and Date
      2010-09-23
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] On the interpolation constant over triangular elements2010

    • Author(s)
      Kenta Kobayashi
    • Organizer
      International Workshop on Numerical Verification and its Applications 2010(INVA2010)
    • Place of Presentation
      Hotel Lido Azzurro, Hachijo-jima(東京都)
    • Year and Date
      2010-03-13
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] 三角形要素上の補間誤差定数について2010

    • Author(s)
      小林健太
    • Organizer
      応用数理学会2010年度年会
    • Place of Presentation
      明治大学 駿河台キャンパス(東京都)
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] 三角形要素上の補間誤差定 数について2010

    • Author(s)
      小林健太
    • Organizer
      応用数理学会2010年度年会
    • Place of Presentation
      明治大学駿河台キャンパス
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] On the interpolation constants over triangular elements2010

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics
    • Place of Presentation
      Czech Technical University
    • Year and Date
      2010-08-31
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] 三角形要素上の補間誤差定数について2010

    • Author(s)
      小林健太
    • Organizer
      研究集会:科学技術計算アルゴリズムの数理的基盤と展開
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-10-19
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] On the interpolation constants over triangular elements2010

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics
    • Place of Presentation
      Czech Technical University, Czech republic
    • Year and Date
      2010-08-31
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] 三角形領域上の補間誤差定数について2010

    • Author(s)
      小林健太
    • Organizer
      北陸応用数理研究会2010
    • Place of Presentation
      金沢大学サテライト・プラザ(石川県)
    • Year and Date
      2010-02-12
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] Numerical verification method and its applications2009

    • Author(s)
      小林健太
    • Organizer
      第10回北東数学解析研究会
    • Place of Presentation
      東北大学理学部(宮城県)
    • Year and Date
      2009-02-17
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] A constructive a priori error estimation for finite element discretizations in a non-convex domain using mesh refinement2009

    • Author(s)
      Kenta Kobayashi
    • Organizer
      International Conference on Engineering and Computational Mathematics (ECM2009)
    • Place of Presentation
      The Hong Kong Polytechnic University(China)
    • Year and Date
      2009-05-28
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] A constructive a priori error estimation for finite element discretizations in a non-convex domain using mesh refinement2009

    • Author(s)
      Kobayashi, K
    • Organizer
      1st African Conference on Computational Mechanics
    • Place of Presentation
      Sun City, South Africa
    • Year and Date
      2009-01-07
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] A constructive a priori error estimation for finite element discretizations in a non-convex domain using a mesh refinement2009

    • Author(s)
      Kenta Kobayashi
    • Organizer
      1st African Conference on Computational Mechanics (AfriCOMP 2009)
    • Place of Presentation
      Sun City Convention Center(South Africa)
    • Year and Date
      2009-01-07
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] An a priori constant which appears in bi-harmonic problems2009

    • Author(s)
      Kobayashi, K
    • Organizer
      International Workshop on Numerical Verification and its Applications 2009
    • Place of Presentation
      Hotel Breeze Bay Marina, Mivako Island, Okinawa
    • Year and Date
      2009-03-24
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] An a priori constant which appear in bi-harmonic problems2009

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Dagstuhl Seminar : Computer-assisted proofs-tools, methods and applications
    • Place of Presentation
      Schloss Dagstuhl, Wadern,(ドイツ)Germany
    • Year and Date
      2009-11-18
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] An a priori constant which appears in bi-harmonic problems2009

    • Author(s)
      Kenta Kobayashi
    • Organizer
      International Workshop on Numerical Verification and its Applications 2009 (INVA2009)
    • Place of Presentation
      Hotel Breeze Bay Marina(Okinawa)
    • Year and Date
      2009-03-24
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] A constructive a priori error estimation for finite element discretizations in a non-convex domain using mesh refinement2009

    • Author(s)
      Kenta Kobayashi
    • Organizer
      International Conference on Engineering and Computational Mathematics(ECM2009)
    • Place of Presentation
      The Hong Kong Polytechnic(中国)University
    • Year and Date
      2009-05-28
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] An a priori constant which appear in bi-harmonic problems2009

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Dagstuhl Seminar: Computer-assisted proofs - tools, methods and applications
    • Place of Presentation
      Schloss Dagstuhl(Germany)
    • Year and Date
      2009-11-18
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] A constructive a priori error estimation for finite element discretizations in a non-convex domain using mesh refinement2008

    • Author(s)
      Kenta Kobayashi
    • Organizer
      International Workshop on Numerical Verification and its Applications 2008 (INVA2008)
    • Place of Presentation
      Tokyo Dai-ichi Hotel OKINAWA GRAND MER RESORT(Okinawa)
    • Year and Date
      2008-03-06
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] 三角形要素上の補間誤差定数について2008

    • Author(s)
      小林健太
    • Organizer
      流れ問題のための高品質数値解法と計算機援用解析学
    • Place of Presentation
      KKRホテル金沢(石川県)
    • Year and Date
      2008-11-18
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] 非凸領域における有限要素法の事前誤差評価について2008

    • Author(s)
      小林健太
    • Organizer
      第3回岐阜非線形ワークショップ-計算科学の基盤としての数値解析-
    • Place of Presentation
      岐阜大学地域科学部棟(岐阜県)
    • Year and Date
      2008-10-27
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] A Constructive a Priori Error Estimation for Finite Element Discretizations in a Non-convex Domain Using Mesh Refinement2007

    • Author(s)
      Kobayashi, K.
    • Organizer
      Conference on Inequalities and Applications '07
    • Place of Presentation
      Noszvaj, Hungary
    • Year and Date
      2007-09-11
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] A constructive a priori error estimation for finite element discretizations in a non-convex domain using mesh refinement2007

    • Author(s)
      Kenta Kobayashi
    • Organizer
      International Conference on Recent Developments of Numerical Schemes for Flow Problems (INSF2007)
    • Place of Presentation
      Kyushu University Nishijin Plaza(Fukuoka)
    • Year and Date
      2007-06-29
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] A constructive a priori error estimation for finite element discretizations in a non-convex domain using mesh refinement2007

    • Author(s)
      Kenta Kobayashi
    • Organizer
      Conference on Inequalities and Applications '07
    • Place of Presentation
      De La Motte Castle(Hungary)
    • Year and Date
      2007-09-11
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] Some numerical results for the explicit L∞ error bounds2007

    • Author(s)
      Kobayashi, K.
    • Organizer
      Conference on the Development of Dynamic Mathematics with High Functionality
    • Place of Presentation
      Fukuoka, Japan
    • Year and Date
      2007-10-04
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] A constructive a priori error estimation for finite element discretizations in a non-convex domain using mesh refinement2007

    • Author(s)
      Kenta Kobayashi
    • Organizer
      The 3rd East Asia SIAM Conference
    • Place of Presentation
      Xiamen University(China)
    • Year and Date
      2007-11-03
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] 水面波方程式に対する計算機援用証明2007

    • Author(s)
      小林健太
    • Organizer
      日本数学会2007年度秋季総合分科会
    • Place of Presentation
      東北大学川内北キャンパス(宮城県)
    • Year and Date
      2007-09-23
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] メッシュリファイメントを用いた有限要素解の事前誤差評価2007

    • Author(s)
      小林 健太
    • Organizer
      RIMS研究集会:計算科学の基盤技術としての高速アルゴリズムとその周辺
    • Place of Presentation
      京都大学 数理解析研究所
    • Year and Date
      2007-11-16
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] A Constructive a Priori Error Estimation for Finite Element Discretizations in a Non-convex Domain Using Mesh Refinement2007

    • Author(s)
      Kobayashi, K.
    • Organizer
      International Conference on Recent Developments of Numerical Schemes for Flow Problems
    • Place of Presentation
      Kyushu University
    • Year and Date
      2007-06-29
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] メッシュリファイメントを用いた有限要素解の事前誤差評価2007

    • Author(s)
      小林健太
    • Organizer
      研究集会:計算科学の基盤技術としての高速アルゴリズムとその周辺
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Year and Date
      2007-11-16
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] Michael Plum, Some numerical results for the explicit L∞error bounds2007

    • Author(s)
      Kenta Kobayashi
    • Organizer
      COE Conference on the Development of Dynamic Mathematics with High Functionality (DMHF2007)
    • Place of Presentation
      Fukuoka Recent Hotel(Fukuoka)
    • Year and Date
      2007-10-04
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] A Constructive a Priori Error Estimation for Finite Element Discretizations in a Non-convex Domain Using Mesh Refinement2007

    • Author(s)
      Kobayashi, K.
    • Organizer
      The 3rd East Asia SIAM Conference
    • Place of Presentation
      Xiamen, China
    • Year and Date
      2007-11-03
    • Data Source
      KAKENHI-PROJECT-19740052
  • [Presentation] On the Interpolation Constants over Triangular Elements

    • Author(s)
      Kenta Kobayashi
    • Organizer
      2012 International Symposium on Nonlinear Theory and its Applications(NOLTA2012)
    • Place of Presentation
      Palma, Majorca, Spain
    • Data Source
      KAKENHI-PROJECT-22740059
  • [Presentation] On the L^2 error estimate for the finite element solution in a non-convex domain

    • Author(s)
      Kenta Kobayashi
    • Organizer
      International Workshop on Numerical Verification and its Applications 2014 (INVA 2014)
    • Place of Presentation
      Waseda University, Tokyo
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400198
  • 1.  TSUCHIYA Takuya (00163832)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 45 results
  • 2.  渡部 善隆 (90243972)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 1 results
  • 3.  劉 雪峰 (50571220)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 4.  柏原 崇人 (80771477)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  高安 亮紀 (60707743)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  OGAWA Eiji (80185503)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  TAKAOKA Koichiro (50272662)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  NAKAMURA Hisashi (80418649)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  TAKAMIZAWA Hideyuki (60361854)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  Saito Norikazu (00334706)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  OIKAWA Issei (10637466)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  木下 武彦 (30546429)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  宮路 智行 (20613342)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  OMATA Seiro (20214223)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  MIYAKAWA Tetsuro (10033929)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  JINBO Shuichi (80201565)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  KIKUCHI Koji (50195202)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  WEISS Georg (30282817)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  YAMAURA Yoshihiko (90255597)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  NAGAYAMA Masaharu (20314289)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  MISUMI Takashi (00229684)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  IKEMORI Toshifumi (00711889)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  Ueda Kazushi (60432465)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  SUITO Hiroshi (10302530)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  YAMADA Takahiro (40240022)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  木村 正人 (70263358)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  鈴木 貴 (40114516)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  石井 聡 (90587809)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  松尾 宇泰 (90293670)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  村川 秀樹 (40432116)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  佐々木 多希子 (30780150)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  安田 行宏 (10349524)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  花崎 正晴 (60334588)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  荻田 武史 (00339615)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  中尾 充宏 (10136418)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  関根 晃太 (80732239)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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