The original formulation of the Green's function parabolic equation (GFPE) can have numerical accuracy problems for large normalized surface impedances. To solve the accuracy problem, an improved form ...

Abstract: The goal of this paper is to find new ways to approximate the discrete Green's function for the numerical solution of a narrow-angle parabolic equation to provide trade-offs in accuracy vs.

Abstract: Constructing parabolic wave equation model, with the algorithm of discrete mixed Fourier transform, has become the mainstream approach to describe the atmospheric duct. To determine the ...

We consider correlation functions with the insertion of a Cartan element for the Wess-Zumino-Witten model on the torus for a simple Lie algebra g. We derive a system of differential equations ...

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

1 University of N’Djamena, N’Djamena, Chad. 2 2University of Moundou, Moundou, Chad. 3 Marien Ngouabi University, Brazzaville, Congo. 4 Cheikh Anta Diop University, Dakar, Senegal. There is a large ...

Let M be a nondoubling parabolic manifold with ends. In this study, we will investigate the Lp boundedness of the discrete square function in terms of the Littlewood-Paley decomposition. It should be ...