Essays about: "Chebyshev polynomials."

Found 3 essays containing the words Chebyshev polynomials..

1. 1. Sound propagation modelling with applications to wind turbines

   University essay from KTH/Mekanik

   Author : Julius Fritzell; [2019]
   Keywords : Sound propagation; Wind turbines; Wave equation; Helmholtz equation; Fourier transform; Chebyshev polynomials.;

   Abstract : Wind power is a rapidly increasing resource of electrical power world-wide. With the increasing number of wind turbines installed one major concern is the noise they generate. Sometimes already built wind turbines have to be put down or down-regulated, when certain noise levels are exceeded, resulting in economical and environmental losses. READ MORE

3. 2. Biorthogonal Polynomials

   University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

   Author : Grayson Webb; [2017]
   Keywords : Orthogonal polynomials; Biorthogonal polynomials; Totally positive kernel; Chebyshev system; Interlacement properties; Recurrence relations;

   Abstract : In this thesis we present some fundamental results regarding orthogonal polynomials and biorthogonal polynomials, the latter defined as in the article "Cauchy Biorthogonal Polynomials", authored by Bertola, Gekhtman, and Szmigielski. We show that total positivity of the kernel can be weakened and how this implies that interlacement for biorthogonal polynomials holds in general. READ MORE

4. 3. The Gibbs Phenomenon and its Resolution

   University essay from Linnéuniversitetet/Institutionen för matematik (MA)

   Author : Carolyn Oddy; [2015]
   Keywords : ;

   Abstract : It is well known that given an arbitrary continuous and periodic function f(x), it is possible to represent it as a Fourier series. However, attempting to approximate a discontinuous or non periodic function, using a Fourier series, yields very poor results. Large oscillations and overshoots appear around the points of discontinuity. READ MORE