Abstract: The article presents a new complex variables-based approach for analytical evaluation of three-dimensional integrals involved in boundary element method (BEM) formulations. The boundary ...

Abstract: In this paper, a shooting and bouncing ray method (SBR) based on Ludwig integrals is proposed to compute the scattering characteristics of complex targets. The method proposed in this paper ...

The study of Hilbert transforms and oscillatory integrals has long been a focal point in harmonic analysis, embedding profound implications across pure and applied mathematics. The Hilbert transform, ...

Real analysis: inequalities, the continuum property, induction, sequences, functions and limits, continuity, contraction mappings and fixed points, differentiation, mean value theorems and Taylor's ...

We present a new Fortran code to calculate the scalar one-loop four-point integral with complex internal masses, based on the method of 't Hooft and Veltman. The code is applicable when the external ...

Welcome to the "Basic Function Integrals" repository! This repository was created to provide an introduction to integral calculus II through practical examples. Here, you will find detailed solutions ...