Essays about: "Orthogonal polynomials"

Showing result 1 - 5 of 12 essays containing the words Orthogonal 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. Uncertainty quantification for offshore wind turbines

    University essay from KTH/Matematik (Avd.)

    Author : Ziming Wang; [2022]
    Keywords : wind energy; uncertainty propagation; polynomial chaos; Rosenblatt transformation; quadrature; regression; vindenergi; osäkerhetsutbredning; polynomkaos; Rosenblatt transformation; kvadratur; regression;

    Abstract : Wind energy is a field with a large number of uncertainties. The random nature of the weather conditions, including wind speed, wind direction, and turbulence intensity, influences the energy output and the structural safety of a wind farm, making its performance fluctuate and difficult to predict. READ MORE

  4. 3. On orthogonalizing weights for the Hermite polynomials

    University essay from KTH/Matematik (Avd.)

    Author : Lukas Odelius; [2022]
    Keywords : Analysis; orthogonal polynomials; orthogonalizing weights; weights; Hermite; Hermite polynomial; Analys; ortogonala polynom; ortogonaliserande vikter; vikter; Hermite; Hermite polynom;

    Abstract : In this paper we study the orthogonal polynomial system on C (z = x + iy) generated by weights of the form w(x, y) = e^{-Q(x, y)} where Q(x, y) is a positive definite quadratic form, we consider the stability of the polynomial system relative to perturbations to the weights and we construct new orthogonalizing weights for the Hermite polynomials. . READ MORE

  5. 4. Quantum Mechanical Propagators Related to Classical Orthogonal Polynomials

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Valdemar Melin; [2021]
    Keywords : ;

    Abstract : A few quantum systems on the line with weighted classical orthogonal polynomials as eigenstates are studied. Explicit expressions of the propagators,i.e. the integral kernels of the time evolution operators, are derived. READ MORE

  6. 5. Multiple Orthogonal Polynomials & Modifications of Spectral Measures

    University essay from Uppsala universitet/Analys och sannolikhetsteori

    Author : Marcus Vaktnäs; [2021]
    Keywords : ;

    Abstract : .... READ MORE