Abstract: This article presents the finite-difference time-domain (FDTD) method for gauge-invariant field-impulses, which constitute the fundamental physical quantities of electromagnetics (EM) in ...

This project solves the two-dimensional Poisson equation on a unit square using second-order finite differences. Two implementations are provided: A Python reference solver that relies on NumPy and ...

First-order derivatives: n additional function calls are needed. Second-order derivatives based on gradient calls, when the "grd" module is specified (Dennis and Schnabel 1983): n additional gradient ...

Im2mesh is an open-source MATLAB/Octave package for generating finite element mesh based on 2D segmented multi-phase image. It provides a robust workflow capable of processing various input images, ...

Abstract: In this paper, an effective finite element method is developed and studied for the Maxwell eigenvalue problem with a radial inhomogeneous medium in a ball. The primary idea is to expand the ...

Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical ...

Paying off debts is one of the most important steps in improving your financial life. How you approach it, though, comes down to your personality. If you're someone who needs a quick win right off the ...

Zoe McDonald has worked as a content creator and producer for more than eight years. She has held staff positions at national media brands as well as local outlets. She developed an interest in health ...