90 citations · 251 across the 30 of their papers we have counts for
Showing 2024 · math.NAShow all
2 papers · 2 filters
math.NA2024
An Uncertainty-aware, Mesh-free Numerical Method for Kolmogorov PDEs
Daisuke Inoue, Yuji Ito, Takahito Kashiwabara +2
This study introduces an uncertainty-aware, mesh-free numerical method for solving Kolmogorov PDEs. In the proposed method, we use Gaussian process regression (GPR) to smoothly int…
math.NA2024
Error estimates of the cubic interpolated pseudo-particle scheme for one-dimensional advection equations
Takahito Kashiwabara, Haruki Takemura
Error estimates of cubic interpolated pseudo-particle scheme (CIP scheme) for the one-dimensional advection equation with periodic boundary conditions are presented. The CIP scheme…