Abstract: The fast Fourier transform (FFT) is a high-speed technique for computing the discrete Fourier transform of a function. The FFT is exact only for discrete (sampled) functions. A technique is ...

Several problems of mathematical physics lead to Fredholm integral equations of the second kind where the kernels are either weakly or strongly singular and the known terms are smooth. These equations ...

This is the way I am currently evaluating the integrals of shape functions in neighboring elements (not in the element they belong to): To test my results I also compute the integral of Lagrange ...

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 ...

Polynomial functions containing terms with non-integer powers are studied to disclose possible approaches for obtaining their roots as well as employing them for curve-fitting purposes. Several ...