Abstract: There has been significant recent work on solving PDEs using neural networks on infinite dimensional spaces. In this talk we consider two examples. First, we prove that transformers can ...

Porous media play a critical role in various industrial fields due to their complex pore networks and considerable specific surface areas. The transport and reaction phenomena within porous media are ...

Under the hood, multiphysics software based on the finite-element (FE) method mathematically models complex engineering and scientific problems in inductive heating, heat transfer, and ...

Sandia National Labs today released an update on its neuromorphic computing research, reporting that these systems, inspired by the architecture of the human brain, are surprisingly adept at solving ...