The following paper has been published:
Jing Niu, Tomohiro Sogabe, Lei Du, Tomoya Kemmochi, and Shao-Liang Zhang.
Tensor product-type methods for solving Sylvester tensor equations.
Appl. Math. Comput., vol. 457, no. 15, pp. 128155, 2023.
DOI: 10.1016/j.amc.2023.128155
[Journal]
The following paper has been published:
Eiji Miyazaki, Tomoya Kemmochi, Tomohiro Sogabe, and Shao-Liang Zhang.
A structure-preserving numerical method for the fourth-order geometric evolution equations for planar curves.
Commun. Math. Res., vol. 39, no. 2, pp. 296–330, 2023.
DOI: 10.4208/cmr.2022-0040
[Journal]
[arXiv]
The following paper has been published:
Tomoya Kemmochi and Shun Sato.
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals.
BIT Numer. Math.
DOI: 10.1007/s10543-021-00904-w
[Journal]
[arXiv]
The following paper has been published:
Fuminori Tatsuoka, Tomohiro Sogabe, Yuto Miyatake, Tomoya Kemmochi, and Shao-Liang Zhang.
Computing the matrix fractional power with the double exponential formula.
Electron. Trans. Numer. Anal., Vol. 54, pp. 558-580, 2021.
DOI: 10.1553/etna_vol54s558
[Journal]
[arXiv]
[MR4310720]
I am a Co-Investigator of the following grant:
JSPS KAKENHI Grant-in-Aid for Scientific Research (B)
Project title: “Analysis on singularities of higher order geometric gradient flows”
Project No.: 21H00990
Primary Investigator: Prof. Shinya Okabe (Tohoku Univ.)
The following paper has been published:
Yuki Satake, Tomohiro Sogabe, Tomoya Kemmochi, and Shao-Liang Zhang.
On a transformation of the ∗-congruence Sylvester equation for the least squares optimization.
Optim. Methods Softw.
DOI: 10.1080/10556788.2020.1734004
[Journal]
The following paper has been published:
Takahito Kashiwabara and Tomoya Kemmochi.
Stability, analyticity, and maximal regularity for parabolic finite element problems on smooth domains.
Math. Comp., vol. 89, pp. 1647-1679, 2020.
DOI: 10.1090/mcom/3500
[Journal]