2 citations · 4 across the 3 of their papers we have counts for
3 papers
Neural Actor-Critic Methods for Hamilton-Jacobi-Bellman PDEs: Asymptotic Analysis and Numerical Studies
Samuel N. Cohen, Jackson Hebner, Deqing Jiang +1
We mathematically analyze and numerically study an actor-critic machine learning algorithm for solving high-dimensional Hamilton-Jacobi-Bellman (HJB) partial differential equations…
Global Convergence of Deep Galerkin and PINNs Methods for Solving Partial Differential Equations
Deqing Jiang, Justin Sirignano, Samuel N. Cohen
Numerically solving high-dimensional partial differential equations (PDEs) is a major challenge. Conventional methods, such as finite difference methods, are unable to solve high-d…
Neural Q-learning for solving PDEs
Samuel N. Cohen, Deqing Jiang, Justin Sirignano
Solving high-dimensional partial differential equations (PDEs) is a major challenge in scientific computing. We develop a new numerical method for solving elliptic-type PDEs by ada…