Essays about: "eigenvalues"

Showing result 1 - 5 of 61 essays containing the word eigenvalues.

  1. 1. Simulations of a self-stabilizing fully submerged hydrofoil

    University essay from KTH/Matematik (Avd.)

    Author : Henry Jacobson; [2023]
    Keywords : Hydrofoil; Self-Stabilizing; Lifting Line Theory; Fluid Mechanics; Numerical Methods; Backward Differentiation Formula; Fully Submerged Hydrofoil; Bärplan; bärplansbåt; självstabiliserande; lyftande linjeteori; strömningsme- kanik; numeriska metoder; Backward Differentiation Formula; fullt nedsänkt bärplan;

    Abstract : Two models of a self-stabilizing hydrofoil system is developed where the effects from the struts and hydrofoil give torques for angular rotations. Lifting line theory for the hydrofoil which can twist is used. Nonlinear versions of the models are also developed and compared to find that the linear models use valid approximations. READ MORE

  3. 2. Gap Probabilities in Random Matrix Ensembles

    University essay from Uppsala universitet/Analys och partiella differentialekvationer

    Author : Oskar Bäcklin; [2023]
    Keywords : gap probability; random matrix;

    Abstract : In this degree project we look at eigenvalue statistics of two randommatrix ensembles, the Gaussian and the circular ensembles. We beginwith their definition and discuss the joint probability distribution of theirentries and eigenvalues. READ MORE

  4. 3. A geometric approach to calculating the limit set of eigenvalues for banded Toeplitz matrices

    University essay from Lunds universitet/Matematik LTH

    Author : Teodor Bucht; [2023]
    Keywords : Toeplitz matrices; Banded Toeplitz matrices; Limit set; Eigenvalues; Mathematics and Statistics;

    Abstract : This thesis is about the limiting eigenvalue distribution of n × n Toeplitz matrices as n → ∞. The two classical questions we want to answer are: what is the limit set of the eigenvalues, and what is the limiting distribution of the eigenvalues. Our main result is a new approach to calculate the limit set Λ(b) for a Laurent polynomial b, i.e. READ MORE

  5. 4. Simulation of low frequency acoustic waves in small rooms : An SBP-SAT approach to solving the time dependent acoustic wave equation in three dimensions

    University essay from

    Author : Alva Fährlin; Olle Edgren Schüllerqvist; [2023]
    Keywords : room acoustics; numerical methods; SBP; SAT; acoustic wave equation.;

    Abstract : Low frequency acoustic room behaviour can be approximated using numerical methods. Traditionally, music studio control rooms are built with complex geometries, making their eigenmodes difficult to predict mathematically. READ MORE

  6. 5. Cospectral graphs : What properties are determined by the spectrum of a graph?

    University essay from Uppsala universitet/Sannolikhetsteori och kombinatorik

    Author : Erik Sundström; [2023]
    Keywords : graph theory; graph; graphs; spectral graph theory; cospectral graphs; adjacency matrix; adjacency matrices; graph spectrum; spectrum; graph spectra; spectra;

    Abstract : This paper was written as a bachelor thesis in mathematics. We study adjacency matrices and their eigenvalues to investigate what properties of the corresponding graphs can be determined by those eigenvalues, the spectrum of the graph. The question of which graphs are uniquely determined by their spectra is also covered. READ MORE