The Vlasov-Poisson system offers a fundamental kinetic framework to describe the evolution of collisionless plasmas, in which particle interactions are mediated predominantly by long-range ...

Finite element methods (FEM) continue to be a cornerstone of computational science, offering robust strategies for the numerical solution of partial differential equations, including those governing ...

The charge transport in an environment with inhomogeneous dielectric permittivity is ubiquitous in many areas such as electrochemical energy devices and biophysical systems. We theoretically study the ...

This is a preview. Log in through your library . Abstract The methods of cyclic reduction and Fourier analysis are reviewed together with the FACR algorithm which combines the two methods. It is shown ...

MIT's Computer Science and Artificial Intelligence Laboratory (CSAIL) has unveiled an innovative AI model that merges principles of diffusion and Poisson Flow. According to MIT News, the researchers ...