The Laplace transform convolution theorem is a powerful tool in the field of engineering and mathematics. It relates the convolution of two functions in the time domain to the multiplication of their ...

Two new approaches allow deep neural networks to solve entire families of partial differential equations, making it easier to model complicated systems and to do so orders of magnitude faster. In high ...

Fluctuation X-ray scattering is an emerging imaging technique that seeks to overcome the low data-to-parameter ratio encountered in traditional small- and wide-angle X-ray scattering methods. By ...

The study of reaction–diffusion processes is much more complicated on general curved surfaces than on standard Cartesian coordinate spaces. Here we show how to formulate and solve systems of ...

Yet recent direct observations in systems without a large separation of timescales — for example, the diffusion of colloids on phospholipid fluid tubules and in biofilament networks 4, 5 (Fig. 1a) — ...