Physics-informed neural networks were tested for their capabilities in predicting concentration profiles in gradient liquid ...

Researchers have developed a framework that can boost the protection of critical infrastructure in the country against the threat of ballistic missiles. According to an official release, this ...

Abstract: This article investigates a novel neural adaptive boundary control strategy for a class of switched partial differential equation (PDE) systems with persistent dwell-time (PDT) switching ...

A library for solving differential equations using neural networks based on PyTorch, used by multiple research groups around the world, including at Harvard IACS.

The West has fractured, and Putin knows it. By German Lopez For Ukraine, a peace deal with Russia is not just about stopping the war. A deal should also prevent the next one — by convincing ...

not only to other PBE applications but to any field involving the solution of partial differential equations, more specifically transport equations, across science and engineering. The availability of ...

Chemistry, mathematics and physics are central to our understanding of nature. Physics explores the fundamental laws of mechanics, electromagnetism, quantum mechanics and relativity. Chemistry studies ...

Abstract: This paper investigates the joint problem of dynamics learning and tracking control for a class of parabolic partial differential equation (PDE) systems with infinite-dimensional uncertain ...