Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...

In the world of biochemistry, knowing that a reaction is “fast” isn’t quite enough. To truly understand a biological catalyst, we need to know exactly how hard a single molecule of that enzyme is ...

Abstract: A Hamiltonian approach to the solution of the Vlasov-Poisson equations has been developed. Based on a nonlinear canonical transformation, the rapidly oscillating terms in the original ...

This paper sets out to present a numerical procedure that solves Poisson’s equation in a spherical coordinate system. To discretize this equation, integration techniques at the interfaces between ...

Abstract: The goal of this paper is to gain insight into the equations arising in nonlinear filtering, as well as into the feedback particle filter introduced in recent research. The analysis is ...