Subsequently, we will study finite element methods (FEM) starting from the definition of the approximation spaces and their properties, the quadratures and a priori estimates for some problems. We ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Can any element in a sufficiently large finite field be represented as a sum of two dth powers in the field? In this article, we recount some of the history of this problem, touching on cyclotomy, ...

The aim of this article is to present a hybrid finite element/finite difference method which is used for reconstructions of electromagnetic properties within a realistic breast phantom. This is done ...

In this article, two block-centered finite difference schemes are introduced and analyzed to solve the parabolic integro-differential equation arising in modeling non-Fickian flow in porous media. One ...

Finite difference approximations -- Steady states and boundary value problems -- Elliptic equations -- Iterative methods for sparse linear systems -- The initial value problem for ordinary ...

This module presents an efficient method using physics-informed neural networks (PINNs) to rapidly solve arbitrary 2D Poisson problems. Focusing on the 2D Poisson equation, the method used in this ...

NIJ-funded researchers developed cost-effective methods to distinguish hemp from marijuana. Does this really serve justice?