Rchr
J-GLOBAL ID：201401099086902197
Update date: Oct. 01, 2022
Kinoshita Takehiko
キノシタ タケヒコ | Kinoshita Takehiko
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Affiliation and department：
Kyushu University Research Institute for Information Technology
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Detailed information
Research field (2)：
Applied mathematics and statistics
, Basic mathematics
Research keywords (5)：
精度保証付き数値計算
, 計算機援用証明
, スペクトル法
, 有限要素法
, 誤差評価
Papers (21)：
Takehiko Kinoshita, Yoshitaka Watanabe, Mitsuhiro T. Nakao. An alternative approach to norm bound computation for inverses of linear operators in Hilbert spaces. Journal of Differential Equations. 2019. 266. 5431-5447
Yoshitaka Watanabe, Takehiko Kinoshita, Mitsuhiro T. Nakao. An improved method for verifying the existence and bounds of the inverse of second-order linear elliptic operators mapping to dual space. Japan Journal of Industrial and Applied Mathematics. 2019. 36. 2. 407-420
Takehiko Kinoshita, Yoshitaka Watanabe, Mitsuhiro T. Nakao. Validated constructive error estimations for biharmonic problems. Reliable Computing. 2017. 25. 168-177
Takehiko Kinoshita, Yoshitaka Watanabe, Nobito Yamamoto, Mitsuhiro T. Nakao. Some remarks on a priori estimates of highly regular solutions for the Poisson equation in polygonal domains. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS. 2016. 33. 3. 629-636
Takehiko Kinoshita, Yoshitaka Watanabe, Mitsuhiro T. Nakao. H3 and H4 regularities of the poisson equation on polygonal domains. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2016. 9582. 199-201
ｍore...
Lectures and oral presentations (70)：
H<sub>0</sub><sup>1</sup> 関数の直交多項式近似に対する2次の誤差評価の最良定数について
(日本数学会秋季総合分科会 2019)
H<sub>0</sub><sup>1</sup> 射影誤差に対する2次の誤差評価の最良定数の包含方法について
(日本応用数理学会年会 2019)
2階線形楕円型作用素に対する可逆性検証と精度保証付きノルム評価の改善
(日本数学会秋季総合分科会 2018)
A higher order error estimation for finite element approximations of the Poisson equation
(SCAN 2018)
2階楕円型作用素に対する逆作用素ノルム評価の改良
(日本応用数理学会年会 2018)
ｍore...
Professional career (1)：
博士(数理学) (九州大学)
Association Membership(s) (2)：
THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
, THE MATHEMATICAL SOCIETY OF JAPAN
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