We study the compactness of a sequence of weak solutions to the (p-th power) nonlinear Klein-Gordon equation with uniform natural energy bounds. A refinement of the Rellich's Theorem of compact ...

One breakthrough came in 2010, when Dominic Berry, now at Macquarie University in Sydney, built the first algorithm for solving linear differential equations exponentially faster on quantum, rather ...

We crunch numbers and use basic binary compute to determine what happens next in a linear pattern or sequence using classical algorithms. But nonlinear differential equations are tougher.

The living AI was able to solve non-linear equations and perform basic speech recognition via training using spatiotemporal sequences of electrical stimulation according to the researchers.

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations.