Remarks on numerical integration of $L^1$ norm. - Takahito Kashiwabara; Issei Oikawa (JSIAM Lett., 2013)

Finite Element Method for Stokes Equations under Leak Boundary Condition of Friction Type. - Takahito Kashiwabara (SIAM J. Numer. Anal., 2013)

Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem. - Takahito Kashiwabara; Claudia Maria Colciago; Luca Dedè; Alfio Quarteroni (SIAM J. Numer. Anal., 2015)

Penalty Method for the Stationary Navier-Stokes Problems Under the Slip Boundary Condition. - Guanyu Zhou; Takahito Kashiwabara; Issei Oikawa (J. Sci. Comput., 2016)

Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition. - Takahito Kashiwabara; Issei Oikawa; Guanyu Zhou (Numerische Mathematik, 2016)

A robust discontinuous Galerkin scheme on anisotropic meshes. - Takahito Kashiwabara; Takuya Tsuchiya (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)

Model Predictive Mean Field Games for Controlling Multi-Agent Systems. - Daisuke Inoue; Yuji Ito; Takahito Kashiwabara; Norikazu Saito; Hiroaki Yoshida (SMC, 2021)

The Crouzeix-Raviart element for the Stokes equations with the slip boundary condition on a curved boundary. - Guanyu Zhou; Issei Oikawa; Takahito Kashiwabara (J. Comput. Appl. Math., 2021)

A Fictitious-play Finite-difference Method for Linearly Solvable Mean Field Games. - Daisuke Inoue; Yuji Ito; Takahito Kashiwabara; Norikazu Saito; Hiroaki Yoshida (CoRR, 2022)

Convergence Analysis of the Upwind Difference Methods for Hamilton-Jacobi-Bellman Equations. - Daisuke Inoue; Yuji Ito; Takahito Kashiwabara; Norikazu Saito; Hiroaki Yoshida (CoRR, 2023)

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

Finite element analysis of a generalized Robin boundary value problem in curved domains based on the extension method. - Takahito Kashiwabara (CoRR, 2023)

The numerical methods for the coupled fluid flow under the leak interface condition of the friction-type. - Guanyu Zhou; Feifei Jing; Takahito Kashiwabara (Numerische Mathematik, 2023)

Partially Centralized Model-Predictive Mean Field Games for controlling multi-agent systems. - Daisuke Inoue; Yuji Ito; Takahito Kashiwabara; Norikazu Saito; Hiroaki Yoshida (IFAC J. Syst. Control., 2023)

Error estimates of the cubic interpolated pseudo-particle scheme for one-dimensional advection equations. - Takahito Kashiwabara; Haruki Takemura (CoRR, 2024)

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

On Finite Volume Methods for a Navier-Stokes Variational Inequality. - Feifei Jing; Weimin Han; Takahito Kashiwabara; Wenjing Yan (J. Sci. Comput., 2024)

Optimal L∞-error estimate for isoparametric finite element method in a smooth domain. - Takahito Kashiwabara (CoRR, 2025)

An Uncertainty-Aware, Mesh-Free Numerical Method for Kolmogorov PDEs. - Daisuke Inoue; Yuji Ito; Takahito Kashiwabara; Norikazu Saito; Hiroaki Yoshida (J. Sci. Comput., 2025)