# differential equation

Calculus has long been key to describing the world. Now fractional calculus is providing new ways of describing complex systems.

Calculus has long been key to describing the world. Now fractional calculus is providing new ways of describing complex systems.

Many processes, including climate change and the spread of COVID-19, involve a delay. Here's a beautiful equation designed to model such processes.

The mathematician Martin Hairer has been awarded the 2021 Breakthrough Prize for Mathematics!

Change is the only constant in our lives — which is why differential equations are so useful.

Christian tells us how geometry can help improve methods for solving differential equations.

Human beings are wilful and don't always act rationally. Yet, mathematical models of the behaviour of crowds are surprisingly accurate.

Masaki Kashiwara wins the Chern medal for his "outstanding and foundational

contributions to algebraic analysis and representation theory sustained over a period of

almost 50 years."

Martin Hairer's is being honoured for a major breakthrough that gives a way of attacking problems that had previously been impenetrable.

Ocean waves are not moving walls of water. Instead, it's some kind of energy that moves along. But then, what happens to the water itself? This isn't just an idle question to ponder while watching the ocean — its answer may help protect us from it too. And it requires some sophisticated maths.