A fully discretised filtered polynomial approximation on spherical shells. - Yoshihito Kazashi (J. Comput. Appl. Math., 2018)

A non-uniform discretization of stochastic heat equations with multiplicative noise on the unit sphere. - Yoshihito Kazashi; Quoc Thong Le Gia (J. Complex., 2019)

Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval. - Yoshihito Kazashi; Fabio Nobile (CoRR, 2020)

Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations. - Yoshihito Kazashi; Fabio Nobile; Eva Vidlicková (Numerische Mathematik, 2021)

Sub-optimality of Gauss-Hermite quadrature and optimality of trapezoidal rule for functions with finite smoothness. - Yoshihito Kazashi; Yuya Suzuki; Takashi Goda (CoRR, 2022)

Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. - Vesa Kaarnioja; Yoshihito Kazashi; Frances Y. Kuo; Fabio Nobile; Ian H. Sloan (Numerische Mathematik, 2022)

Dynamically Orthogonal Approximation for Stochastic Differential Equations. - Yoshihito Kazashi; Fabio Nobile; Fabio Zoccolan (CoRR, 2023)

Randomizing the trapezoidal rule gives the optimal RMSE rate in Gaussian Sobolev spaces. - Takashi Goda; Yoshihito Kazashi; Yuya Suzuki (Math. Comput., 2023)

Density Estimation in RKHS with Application to Korobov Spaces in High Dimensions. - Yoshihito Kazashi; Fabio Nobile (SIAM J. Numer. Anal., 2023)

Suboptimality of Gauss-Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness. - Yoshihito Kazashi; Yuya Suzuki; Takashi Goda (SIAM J. Numer. Anal., 2023)

Multigrid Monte Carlo Revisited: Theory and Bayesian Inference. - Yoshihito Kazashi; Eike H. Müller; Robert Scheichl (CoRR, 2024)

L2-approximation using randomized lattice algorithms. - Mou Cai; Takashi Goda; Yoshihito Kazashi (CoRR, 2024)

How Sharp Are Error Bounds? -Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions-. - Takashi Goda; Yoshihito Kazashi; Ken'ichiro Tanaka (SIAM J. Numer. Anal., 2024)