Essays about: "Legendre polynomials"

Found 2 essays containing the words Legendre polynomials.

1. 1. Discussion of Python Implementation Techniques for Discontinuous Galerkin Methods

   University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

   Author : Ulf Vestberg; [2023]
   Keywords : Best approximation; Orthogonal polynomials; Legendre polynomials; Integration; Full tensor product; Sum-factorization; Dune; Mathematics and Statistics;

   Abstract : This paper discusses implementation techniques for integration methods within the Discontinuous Galerkin Methods. These methods are used to approximate solutions for differential equations. To do so, one must compute a polynomial, which is an approximation of the used function. READ MORE

3. 2. 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