Kazuaki Tanaka – 研究成果 — 早稲田大学

Scopus著者プロファイル

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年別の研究成果

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11 Article

11 件

2022
A posteriori verification of the positivity of solutions to elliptic boundary value problems
Tanaka, K. & Asai, T., 2022 2月, In: Partial Differential Equations and Applications. 3, 1, 9.
研究成果: Article › 査読

Open Access
Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems
Sekine, K., Tanaka, K. & Oishi, S., 2022 1月 15, In: Computers and Mathematics with Applications. 106, p. 18-26 9 p.
研究成果: Article › 査読

Open Access
Numerical verification for asymmetric solutions of the Hénon equation on bounded domains
Asai, T., Tanaka, K. & Oishi, S., 2022 1月 1, In: Journal of Computational and Applied Mathematics. 399, 113708.
研究成果: Article › 査読

Open Access
Rigorous Numerical Enclosures for Positive Solutions of Lane–Emden’s Equation with Sub-Square Exponents
Tanaka, K., Plum, M., Sekine, K., Kashiwagi, M. & Oishi, S., 2022, In: Numerical Functional Analysis and Optimization. 43, 3, p. 322-349 28 p.
研究成果: Article › 査読
2021
A posteriori verification for the sign-change structure of solutions of elliptic partial differential equations
Tanaka, K., 2021 9月, In: Japan Journal of Industrial and Applied Mathematics. 38, 3, p. 731-756 26 p.
研究成果: Article › 査読

Open Access
1 被引用数 (Scopus)
2020
Numerical verification method for positive solutions of elliptic problems
Tanaka, K., 2020 5月 15, In: Journal of Computational and Applied Mathematics. 370, 112647.
研究成果: Article › 査読

Open Access
4 被引用数 (Scopus)
2017
Estimation of Sobolev embedding constant on a domain dividable into bounded convex domains
Mizuguchi, M., Tanaka, K., Sekine, K. & Oishi, S., 2017, In: Journal of Inequalities and Applications. 2017, 299.
研究成果: Article › 査読

Open Access
22 被引用数 (Scopus)
Numerical validation of blow-up solutions of ordinary differential equations
Takayasu, A., Matsue, K., Sasaki, T., Tanaka, K., Mizuguchi, M. & Oishi, S., 2017 4月 1, In: Journal of Computational and Applied Mathematics. 314, p. 10-29 20 p.
研究成果: Article › 査読

Open Access
21 被引用数 (Scopus)
Sharp numerical inclusion of the best constant for embedding H₀¹(Ω)↪L^p(Ω) on bounded convex domain
Tanaka, K., Sekine, K., Mizuguchi, M. & Oishi, S., 2017 2月 1, In: Journal of Computational and Applied Mathematics. 311, p. 306-313 8 p.
研究成果: Article › 査読

Open Access
8 被引用数 (Scopus)
2015
Estimation of Sobolev-type embedding constant on domains with minimally smooth boundary using extension operator
Tanaka, K., Sekine, K., Mizuguchi, M. & Oishi, S., 2015 12月 1, In: Journal of Inequalities and Applications. 2015, 1, p. 1-23 23 p., 389.
研究成果: Article › 査読
5 被引用数 (Scopus)
2014
Verified norm estimation for the inverse of linear elliptic operators using eigenvalue evaluation
Tanaka, K., Takayasu, A., Liu, X. & Oishi, S., 2014 11月 1, In: Japan Journal of Industrial and Applied Mathematics. 31, 3, p. 665-679 15 p.
研究成果: Article › 査読
10 被引用数 (Scopus)