Rchr
J-GLOBAL ID：200901091343435456
Update date: Feb. 14, 2024
Kobayashi Kenta
コバヤシ ケンタ | Kobayashi Kenta
Affiliation and department：
Job title：
Professor
Other affiliations (2)：
Homepage URL (2)：
http://cm.hit-u.ac.jp/~kobayashi/
,
http://cm.hit-u.ac.jp/~kobayashi/en/
Research field (2)：
Applied mathematics and statistics
, Basic mathematics
Research keywords (2)：
Finite Element Method
, Numerical Verification Method
Research theme for competitive and other funds (21)：
- 2016 - 現在 有限要素法に基づく精度保証付き数値計算の高度化に関する研究
- 2010 - 現在 Research on the numerical verification and high accuracy computation for equations with singularities
- 2021 - 2025 精度保証付き数値計算の前進---有限と無限をつなぐもの---
- 2021 - 2025 Computer-assisted solution verification for 3D flows with large Reynolds numbers
- 2021 - 2024 Finite element error analysis on anisotropic meshes
- 2020 - 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
- 2017 - 2020 Restructuring Global Financial Regulation and Crisis Management in the New Phase after the Global Financial Crisis
- 2015 - 2020 Tropical geometry and magnetoencephalography
- 2016 - 2020 有限要素法に基づく精度保証付き数値計算の高度化に関する研究
- 2015 - 2019 A new development of mathematical theory of Discontinuous Galerkin FEM
- 2015 - 2017 What is ``good" shape of elements in FEM
- 2014 - 2017 Study of interpolation error analysis for finite element methods
- 2013 - 2016 The Global Financial Crisis and Its Effects on Currencies and Finance: Evaluation Methods Revisited
- 2013 - 2016 3次元有限要素法に対する精度保証および高精度計算についての研究
- 2010 - 2013 Researches on the high-accurate computation and numerical verification for the solution of the partial differential equation with singularity
- 2007 - 2010 Research on the numerical verification and high accuracy computation for finite element method solutions in a non-convex domains
- 2007 - 2010 Research on high accuracy computing and numerical verification for Finite Element Method solution in a non-convex domain
- 2006 - 2009 New topics for partial differential equations whose solution has singular sets
- 2003 - 2006 Investigation of the global properties of nonlinear equations via the numerical verification method
- 2003 - 2006 精度保証による非線形問題の大域的性質の解明
- 2001 - 2003 非線形方程式に対する高速・高精度数値計算法及び精度保証
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Papers (41)：
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Hiroki Ishizaka, Kenta Kobayashi, Takuya Tsuchiya. Correction to: General theory of interpolation error estimates on anisotropic meshes. Japan Journal of Industrial and Applied Mathematics. 2023. 40. 2. 1355-1356
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Hiroki Ishizaka, Kenta Kobayashi, Takuya Tsuchiya. Anisotropic interpolation error estimates using a new geometric parameter. Japan Journal of Industrial and Applied Mathematics. 2022. 40. 1. 475-512
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Kenta Kobayashi, Yoshitaka Watanabe. Improvement of infinity norm estimations related to computer-assisted proofs of the Kolmogorov problem. JSIAM Letters. 2022. 14. 92-95
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Hiroki Ishizaka, Kenta Kobayashi, Ryo Suzuki, Takuya Tsuchiya. A new geometric condition equivalent to the maximum angle condition for tetrahedrons. Computers and Mathematics with Applications. 2021. 99. 323-328
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Hiroki Ishizaka, Kenta Kobayashi, Takuya Tsuchiya. Crouzeix-Raviart and Raviart-Thomas finite-element error analysis on anisotropic meshes violating the maximum-angle condition. Japan Journal of Industrial and Applied Mathematics. 2021. 38. 2. 645-675
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MISC (1)：
Lectures and oral presentations (74)：
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ノルム不等式と精度保証付き数値計算
(CREST連携セミナー 2011)
-
三角形要素上の補間誤差定数について
(Kunitachi One-Day Symposium on Numerical Analysis and Related Topics 2011)
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三角形要素上の補間誤差定数について
(数理学談話会 2011)
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三角形要素上の補間誤差定数について
(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 2010)
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On the interpolation constants over triangular elements
(Conference on Inequalities and Applications '10 2010)
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Education (3)：
- 2000 - 2003 Kyoto University Graduate School, Division of Natural Science
- 1998 - 2000 Kyoto University Graduate School, Division of Natural Science
- - 1998 Kyoto University Faculty of Science
Professional career (2)：
- 博士(理学) (京都大学)
- 修士(理学) (京都大学)
Work history (9)：
- 2018/04/01 - 現在 Hitotsubashi University Faculty of Commerce and Management Professor
- 2018/04/01 - 現在 Hitotsubashi University Graduate School of Business Administration Professor
- 2017/04/01 - 2018/03/31 Hitotsubashi University Graduate School of Commerce and Management Professor
- 2011/04/01 - 2017/03/31 Hitotsubashi University Graduate School of Commerce and Management Associate Professor
- 2008/04/01 - 2011/03/31 Kanazawa University Institute of Science and Engineering, Faculty of Mathematics and Physics
- 2007/05/01 - 2008/03/31 Kanazawa University Faculty of Science, Department of Mathematics
- 2006/04/01 - 2007/04/30 Kyushu University Faculty of Mathematics
- 2003/04/01 - 2006/03/31 Kyushu University Faculty of Mathematics
- 2001/04/01 - 2003/03/31 Kyoto University Graduate School of Science
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Awards (7)：
Association Membership(s) (2)：
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