Dive into Python Physics Lesson 23 and discover what happens when approximations fail in dipole electric fields. In this lesson, we explore the limitations of common approximation methods in physics ...

Abstract: A finite-difference-based mode-matching method (FD-MMM) is developed and demonstrated for three-dimensional (3-D) optical waveguide structures with arbitrary index profiles and multiple ...

Abstract: Simultaneous perturbation stochastic approximation method was shown to be superior over finite difference (Kiefer-Wolfowitz) method in case of unknown but bounded additive measurement noise.

Probabilistic numerical finite differences. Compute finite difference weights and differentiation matrices on scattered data sites and with out-of-the-box uncertainty quantification.

In this paper, a numerical technique is proposed to obtain the solution for transient heat conduction equation of Copper. The copper element is characterized by many characteristics; the most ...

Option pricing with various models (Black-Scholes, Heston, Merton jump diffusion, etc) and methods (Monte Carlo, finite difference, Fourier). Finite-Difference Approximations to the Heat Equation.

We study a quasilinear hierarchically size-structured population model presented in [4]. In this model the growth, mortality and reproduction rates are assumed to depend on a function of the ...