Nature creates incredible works of living art through its many different animal patterns, such as a leopard’s spots or a ...

There are many purposes that spots and stripes serve in nature, but how they form has been more of a mystery to scientists.

Reaction-diffusion systems represent a fundamental mathematical framework to model the interplay between local reactive processes and diffusive transport of substances. These systems have wide-ranging ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

As in modern elasmobranchs (sharks and rays), the shagreen of the hybodontiform shark Tribodus limae (Santana Formation, Aptian-Albian, Lower Cretaceous, northeastern Brazil) consists of non-growing ...

This is a preview. Log in through your library . Abstract In this paper we mathematically characterize through a Lie formalism the local errors induced by operator splitting when solving nonlinear ...

Nature has no shortage of patterns, from spots on leopards to stripes on zebras and hexagons on boxfish. But a full explanation for how these patterns form has remained elusive. Now engineers at CU ...