3 citations · 4 across the 5 of their papers we have counts for
14 papers
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…
Convergence Analysis of the Upwind Difference Methods for Hamilton-Jacobi-Bellman Equations
Daisuke Inoue, Yuji Ito, Takahito Kashiwabara +2
This paper investigates the convergence properties of the upwind difference scheme for the Hamilton--Jacobi--Bellman (HJB) equation, a central partial differential equation in opti…
A fictitious-play finite-difference method for linearly solvable mean field games
Daisuke Inoue, Yuji Ito, Takahito Kashiwabara +2
An iterative finite difference scheme for mean field games (MFGs) is proposed. The target MFGs are derived from control problems for multidimensional systems with advection terms.…
A finite element method to a periodic steady-state problem for an electromagnetic field system using the space-time finite element exterior calculus
Masaru Miyashita, Norikazu Saito
This paper proposes a finite element method for solving the periodic steady-state problem for the scalar-valued and vector-valued Poisson equations, a simple reduction model of the…
A mass-lumping finite element method for radially symmetric solution of a multidimensional semilinear heat equation with blow-up
Toru Nakanishi, Norikazu Saito
This study presents a new mass-lumping finite element method for computing the radially symmetric solution of a semilinear heat equation in an dimensional ball (). We p…
Model Predictive Mean Field Games for Controlling Multi-Agent Systems
Daisuke Inoue, Yuji Ito, Takahito Kashiwabara +2
When controlling multi-agent systems, the trade-off between performance and scalability is a major challenge. Here, we address this difficulty by using mean field games (MFGs), whi…