Meromorphic function theory occupies a central position in the analysis of complex differential equations, uniting classical value‐distribution methods with modern studies of integrability and dynamic ...

The team has improved the capabilities of physics-informed neural networks (PINNs), a type of artificial intelligence that incorporates physical laws into the learning process. Researchers from the ...

Clarkson University researchers have developed an artificial intelligence tool that can uncover the mathematical equations ...

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 ...

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 ...