Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly ...

Physics-informed neural networks (PINNs) have shown remarkable prospects in solving forward and inverse problems involving ...

Now, artificial intelligence (AI) tools are providing powerful new ways to address long-standing problems in physics. “The ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...

One of the common classes of equations that is encountered in several branches of science is partial differential equations. So in this article, I look at a software package called FreeFem++ that is ...