IEEE

A Unified Method to Handle Singularities of Periodic Green’s Function in Ewald Transformation

Abstract: In numerical modeling of electromagnetic (EM) scattering from two-dimensional (2-D) periodic structures using the integral equation method, the Ewald transformation is commonly employed to ...
Frontiers

Optical and electrical properties of thiarubrine A simulated via the Hückel method and the nonequilibrium Green’s function

Thiarubrine A, a fascinating class of linear carbon chains, can be extracted from certain plants and are known for their photolabile pigment properties. In this study, a modified Hückel method to ...
Scientific Research Publishing

Implementation of the Integrated Green’s Function Method for 3D Poisson’s Equation in a Large Aspect Ratio Computational Domain ()

The solution of Poisson’s Equation plays an important role in many areas, including modeling high-intensity and high-brightness beams in particle accelerators. For the computational domain with a ...
Scientific Research Publishing

R. Ma, “Nonlinear Periodic Boundary Value Problems with Sign-Changing Green’s Function,” Nonlinear Analysis, Vol. 74, No. 5, 2011, pp. 1714-1720. doi:10.1016/j.na.2010.10.043

ABSTRACT: The paper deals with the existence of nonzero periodic solution of systems, where k∈(0, π/T), α, β are n×n real nonsingular matrices, μ=(μ1…μn), f(t, u)=(f1(t, u),…,fn(t, u))∈C([0, T]× n+, + ...