Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

If you know the atoms that compose a particular molecule or solid material, the interactions between those atoms can be determined computationally, by solving quantum mechanical equations—at least, if ...

Physics-Informed Neural Networks (PINNs) augment traditional neural architectures by embedding the governing equations of physical systems directly into the loss function. Instead of solely minimising ...

Transfer of math, physics, and communication skills into the entry-level photonics workforce, NSF Award 1432578, Sept 2014 – Aug 2019 Exploring factors that shape education & workplace training on ...

In this nearly all-digital age, analog systems are a vanishing breed. Certain cars still have analog dashboards. A lot of people prefer analog clock faces to something that looks like the timer on a ...

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 ...