Systems of interacting electrons can show emergent, strong-correlation phenomena. The parquet equations self-consistently relate various propagation amplitudes of many-electron systems and thereby ...

Photonic Finite-Difference Frequency-Domain (FDFD) Toolbox is a MATLAB Community Toolbox project, aiming to provide intuitive framework for photonic devices simulation using MATLAB. Customizable ...

Abstract: This letter proposes a generalized and controllable-stability conformal method to address stability challenges inherent in conformal finite-difference time-domain algorithms. A quantitative ...

Finite difference methods are numerical techniques used to approximate derivatives and solve differential equations by discretizing the domain into a grid of points. This approach is based on Taylor ...

Finite Difference Gradient Descent (FDGD) is a modification of the regular GD algorithm that approximates the gradient of the objective function with finite difference derivatives, as $$ -\nabla f(v) ...

What comes to mind when you think of a slime tutorial? Hundreds of videos of children using glue and borax to make some horrifying concoction, perhaps? For the theater community, the phrase’s meaning ...

A novel stochastic numerical scheme is introduced to solve stochastic differential equations. The development of the scheme is based on two different parts. One part finds the solution for the ...

1 Department of Mathematics, Comilla University, Kotbari, Bangladesh. 2 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. In this paper, we investigate and analyze ...

The behavior of many engineering structures, excited from external stresses, is governed by differential equations. We can solve most of these differential equations analytically as long as we ...