C06FKF Circular convolution or correlation of two real vectors, extra workspace for greater speed C06FPF Multiple one-dimensional real discrete Fourier transforms C06FQF Multiple one-dimensional Hermitian discrete Fourier transforms C06FRF Multiple one-dimensional complex discrete Fourier transforms C06FUF Two-dimensional complex discrete Fourier transform C06FXF Three-dimensional complex discr...

Speaking in a very broad sense, the Fourier transform (FT) can be treated as a systematic way to decompose arbitrary function into a superposition of harmonic (“symmetrical”) functions. It is a fundamental tool for studying of various processes and for this reason it is present in basically every scientific discipline. In last decades, the Fourier transformation was used in distinctive fields s...

The present work solves two-dimensional Advection-Dispersion Equation (ADE) in a semi-infinite domain. A variable source concentration is regarded as the monotonic decreasing function at the source boundary (x=0). Depth-dependent variables are considered to incorporate real life situations in this modeling study, with zero flux condition assumed to occur at the exit boundary of the domain, i.e....

In this paper, a Schwarz-Christoffel method for generating two-dimensional grids for a variety of complex internal and external flow configurations based on the numerical integration procedure of the Schwarz-Christoffel transformation has been developed by using Mathematica, which is a general purpose symbolic-numerical-graphical mathematics software. This method is highly accurate (fifth order...

This paper presents an analytical solution for response of a piezoelectric hollow cylinder under two-dimensional electro thermo mechanical fields. The solution is based on a direct method and the Navier equations were solved using the complex Fourier series. The advantage of this method is its generality and from mathematical point of view, any type of the thermo mechanical and electrical bound...

In this paper, we examine the accuracy of several calculation methods for iron loss of rotating machines using the finite element method. Two calculation methods are compared with the measurements. One is based on the Fourier transformation of the flux density waveforms at each finite element. The other is the direct calculation from the waveforms without Fourier transformation. It is clarified...