Michele Simoncelli, a Ph.D. student at EPFL, Andrea Cepellotti, a former EPFL student now at Harvard, and Nicola Marzari, head of EPFL's Theory and Simulation of Materials laboratory, have developed a ...

If there's a mathematical idea that applies itself to almost everything in everyday life but is almost unknown outside the scientific world, the Fourier transform has to be the most unsung contender.

Fourier and pseudodifferential operators lie at the heart of modern analysis of differential equations. The Fourier transform recasts differential problems into algebraic ones by converting ...

Fourier's well-known heat equation, introduced in 1822, describes how temperature changes in space and time when heat flows through a material. In general, this formulation works well to describe heat ...