Discover how Fourier Analysis breaks down complex time series data into simpler components to identify trends and patterns, despite its limitations in stock forecasting.

Application of the Fourier method to very general linear hyperbolic Cauchy problems having nonsmooth initial data is considered, both theoretically and computationally. In the absence of smoothing, ...

Super-resolution (SR) fluorescence microscopy, through the use of fluorescent probes and specific excitation and emission procedures, surpasses the diffraction limit of resolution (200~300 nm) that ...

Stochastic control problems in finance often involve complex controls at discrete times. As a result, numerically solving such problems using, for example, methods based on partial differential or ...

Recently, a research team led by Prof. GAO Minguang and Associate Prof. LI Xiangxian from Hefei Institutes of Physical Science (HFIPS), Chinese Academy of Sciences (CAS), has developed a spectral ...

Nyström's method with the trapezoidal rule, and the Fourier method, produce the same approximation to the solution of an integral equation at the collocation points ...

We provide a bound for the error committed when using a Fourier method to price European options, when the underlying follows an exponential Lévy dynamic. The price ...

Microsoft Office Excel contains a data analysis add-in that allows to to perform a Fourier analysis of a series of numbers. So named for the French mathematician who developed the analytic technique ...