Orthogonal Polynomials

TL;DR: The proposed discontinuous Galerkin method with the P"k-P"k formulation is an efficient scheme for accurate and stable solution of the unsteady Navier-Stokes equations in convection-dominated flows.

TL;DR: The integer order differentiation by integration method based on the Jacobi orthogonal polynomials for noisy signals was originally introduced by Mboup, Join and Fliess is extended and the proposed fractional order differentiators are significantly improved by admitting a time-delay.

TL;DR: It is proved that pattern recognition procedures derived from orthogonal series estimates of a probability density function are Bayes risk consistent and do not lose their asymptotic properties even if the random environment is nonstationary.

TL;DR: In this article , the authors present a categorized review of SFFT, highlights the differences of its various algorithms and implementations, and also reviews the current use of SFT in different applications.