Discrete maximal regularity and the finite element method for parabolic equations. - Tomoya Kemmochi; Norikazu Saito (Numerische Mathematik, 2018)

Relation between the T-congruence Sylvester equation and the generalized Sylvester equation. - Yuki Satake; Masaya Oozawa; Tomohiro Sogabe; Yuto Miyatake; Tomoya Kemmochi; Shao-Liang Zhang (Appl. Math. Lett., 2019)

Modified Strang splitting for semilinear parabolic problems. - Kosuke Nakano; Tomoya Kemmochi; Yuto Miyatake; Tomohiro Sogabe; Shao-Liang Zhang (JSIAM Lett., 2019)

Computing the matrix fractional power based on the double exponential formula. - Fuminori Tatsuoka; Tomohiro Sogabe; Yuto Miyatake; Tomoya Kemmochi; Shao-Liang Zhang (CoRR, 2020)

Stability, analyticity, and maximal regularity for parabolic finite element problems on smooth domains. - Takahito Kashiwabara; Tomoya Kemmochi (Math. Comput., 2020)

Pointwise error estimates of linear finite element method for Neumann boundary value problems in a smooth domain. - Takahito Kashiwabara; Tomoya Kemmochi (Numerische Mathematik, 2020)

On a transformation of the ∗-congruence Sylvester equation for the least squares optimization. - Yuki Satake; Tomohiro Sogabe; Tomoya Kemmochi; Shao-Liang Zhang (Optim. Methods Softw., 2020)

Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy. - Tomoya Kemmochi; Shun Sato (CoRR, 2021)

Structure-preserving numerical methods for constrained gradient flows of planar closed curves with explicit tangential velocities. - Tomoya Kemmochi; Yuto Miyatake; Koya Sakakibara (CoRR, 2022)

A structure-preserving numerical method for the fourth-order geometric evolution equations for planar curves. - Eiji Miyazaki; Tomoya Kemmochi; Tomohiro Sogabe; Shao-Liang Zhang (CoRR, 2022)

Migrating elastic flows. - Tomoya Kemmochi; Tatsuya Miura (CoRR, 2023)

A sharp discrete maximal regularity for the discontinuous Galerkin time-stepping method. - Takahito Kashiwabara; Tomoya Kemmochi (CoRR, 2023)

Computing the matrix exponential with the double exponential formula. - Fuminori Tatsuoka; Tomohiro Sogabe; Tomoya Kemmochi; Shao-Liang Zhang (CoRR, 2023)

Matrix equation representation of convolution equation and its unique solvability. - Yuki Satake; Tomohiro Sogabe; Tomoya Kemmochi; Shao-Liang Zhang (CoRR, 2023)

Higher order discrete gradient method by the discontinuous Galerkin time-stepping method. - Tomoya Kemmochi (CoRR, 2023)

Tensor product-type methods for solving Sylvester tensor equations. - Jing Niu; Tomohiro Sogabe; Lei Du; Tomoya Kemmochi; Shao-Liang Zhang (Appl. Math. Comput., 2023)

Discrete Maximal Regularity for the Discontinuous Galerkin Time-Stepping Method without Logarithmic Factor. - Takahito Kashiwabara; Tomoya Kemmochi (SIAM J. Numer. Anal., 2024)

Shifted LOPBiCG: A locally orthogonal product-type method for solving nonsymmetric shifted linear systems based on Bi-CGSTAB. - Ren-Jie Zhao; Tomohiro Sogabe; Tomoya Kemmochi; Shao-Liang Zhang (Numer. Linear Algebra Appl., 2024)

A preconditioning technique of Gauss-Legendre quadrature for the logarithm of symmetric positive definite matrices. - Fuminori Tatsuoka; Tomohiro Sogabe; Tomoya Kemmochi; Shao-Liang Zhang (Appl. Math. Lett., 2025)