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 ...

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 ...

A team of engineers has proven that their analog computing device, called a memristor, can complete complex, scientific computing tasks while bypassing the limitations of digital computing. A team of ...

Boundary value problems and integro-differential equations lie at the heart of modern applied mathematics, providing robust frameworks to model phenomena across physics, engineering and beyond. These ...

Complex Hessian equations extend the classical framework of the complex Monge–Ampère equation by involving the m-th elementary symmetric function of the eigenvalues of the complex Hessian. This ...

An exemplar photograph of an integrated chip containing memristor crossbar arrays of various sizes made at UMass Amherst. (Image taken by Can Li). AMHERST, Mass. – A team of researchers including ...