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]
The following paper has been published:
Takahito Kashiwabara and Tomoya Kemmochi.
Pointwise error estimates of linear finite element method for Neumann boundary value problems in a smooth domain.
Numer. Math., vol. 89, pp. 1647-1679, 2020.
DOI: 10.1007/s00211-019-01098-8
[Journal]
The following paper has been published:
K. Nakano, T. Kemmochi, Y. Miyatake, T. Sogabe, and S.-L. Zhang.
Modified Strang splitting for semilinear parabolic problems.
JSIAM Letters, vol. 11, pp. 77–80, 2019.
DOI: 10.14495/jsiaml.11.77
[Journal]
The following paper has been published:
T. Kemmochi.
Numerical Analysis of the Allen-Cahn Equation with Coarse Meshes.
J. Math. Res. Appl., vol. 39, no. 6, pp. 709–717, 2019.
DOI: 10.3770/j.issn:2095-2651.2019.06.014
[Journal]
The following paper has been published:
Yuki Satake, Masaya Oozawa, Tomohiro Sogabe, Yuto Miyatake, Tomoya Kemmochi, and Shao-Liang Zhang.
Relation between the T-congruence Sylvester equation and the generalized Sylvester equation.
Appl. Math. Lett., vol. 96, pp. 7–13, 2019.
DOI: 10.1016/j.aml.2019.04.007
[Journal]
[MR3943431]