This project implements a numerical solution to the heat equation using Fast Fourier Transform (FFT) and the odeint method from the SciPy library. The heat equation is a fundamental partial ...

Numerous studies of the Navier-Stokes equations are devoted to the problem of its solution’s smoothness. A good overview of the studies was made in [1,2]. Spatial differentiability of the solutions is ...

音声データの中に「どんな音（周波数）」が含まれているかを調べるためには、フーリエ変換（Fourier Transform）が欠かせません。 特にデータサイエンスや機械学習の分野では、音声特徴量抽出の第一歩として高速フーリエ変換（FFT: Fast Fourier Transform）が頻繁 ...

Abstract: Convolution of a discrete Walsh function with a rectangular pulse simplifies the derivation of an expression for the Fourier transform of a Walsh function. The nonrecursive transform ...

We apply a Fourier pseudospectral algorithm to solve a 2D nonlinear paraxial envelope-equation of laser interactions in plasmas. In this algorithm, we first use the second order Strang time-splitting ...