Mean energy calculations in a numerical parabolic equation average propagation method

A 3D Parabolic Equation Method for Sound Propagation in Moving Inhomogeneous Media

In this paper, a new formulation of the Helmholtz equation for sound propagation in a moving inhomogeneous medium in cylindrical coordinates is derived. Based on this formulation, a novel three-dimensional parabolic equation is constructed. This parabolic equation can be used to model sound propagation in an inhomogeneous arbitrary moving medium. The method is used here to simulate three-dimens...

application of the parabolic equation method for analyisis of indoor propagation problems

with the rapid growth of indoor wireless communication systems, the need to accurately model radio wave propagation inside the building environments has increased. many site-specific methods have been proposed for modeling indoor radio channels. among these methods, the ray tracing algorithm and the finite-difference time domain (fdtd) method are the most popular ones. the ray tracing approach ...

Imex Method Convergence for a Parabolic Equation

Abstract. Although implicit-explicit (IMEX) methods for approximating solutions to semilinear parabolic equations are relatively standard, most recent works examine the case of a fully discretized model. We show that by discretizing time only, one can obtain an elementary convergence result for an implicit-explicit method. This convergence result is strong enough to imply existence and uniquene...

A Parabolic Equation for Wave Propagation over Porous Structures

A numerical method for NNLO calculations

In the last decades, the interplay between increasing precision from the experimental side and NLO predictions becoming available from the theoretical side has led to impressive tests of the Standard Model. However, certain processes or observables in QCD should be known at NNLO in perturbation theory in order to match the experimental precision, and in the domain of electroweak interactions, m...