Essays about: "eigenvalue problem"

Showing result 21 - 25 of 36 essays containing the words eigenvalue problem.

  1. 21. Implementation of Singly Diagonally Implicit Runge-Kutta Methods with Constant Step Sizes

    University essay from Lunds universitet/Matematik LTH

    Author : Josefine Stål; [2015]
    Keywords : Implicit Runge-Kutta methods; SDIRK; Implementation; Python; Mathematics and Statistics;

    Abstract : Runge–Kutta methods can be used for solving ordinary differential equations of the form y0 = f(t, y) with initial condition y(t0) = y0 and where f : R x R^m -> R^m. The idea is to find a method that is efficient to implement. But it is also important for the method to be of high order and be stable. READ MORE

  3. 22. Supersymmetry in Quantum Mechanics

    University essay from Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisation; Lunds universitet/Institutionen för astronomi och teoretisk fysik - Genomgår omorganisation

    Author : Simon Kuberski; [2014]
    Keywords : supersymmetric quantum mechanics; partner potentials; quantum mechanics; partner Hamiltonian; shape invariant potential; shape invariance; Morse potential; Physics and Astronomy;

    Abstract : This thesis gives an introduction to the basic formalism of one-dimensional supersymmetric quantum mechanics. The factorization of a Hamiltonian is used to create a supersymmetric partner Hamiltonian. READ MORE

  4. 23. Analysis of the Many-Body Problem in One Dimension with Repulsive Delta-Function Interaction

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Martin Albertsson; [2014]
    Keywords : Many-body problem; Bethe ansatz; delta-function interaction; Bethe-Yang ansatz; Gaudin-Yang model; Lieb-Liniger model;

    Abstract : The repulsive delta-function interaction model in one dimension is reviewed for spinless particles and for spin-1/2 fermions. The problem of solving the differential equation related to the Schrödinger equation is reduced by the Bethe ansatz to a system of algebraic equations. READ MORE

  5. 24. Numerical Methods for the PDES on Curves and Surfaces

    University essay from Institutionen för datavetenskap

    Author : Dimitrios Kamilis; [2013]
    Keywords : ;

    Abstract : Curves and surfaces are manifolds that can be represented using implicit and parametric methods. With a representation in hand, one can define a partial differential equation on the manifold using differential tangential calculus. READ MORE

  6. 25. Parallel Reduction from Block Hessenberg to Hessenberg using MPI

    University essay from Institutionen för datavetenskap

    Author : Viktor Jonsson; [2013]
    Keywords : ;

    Abstract : In many scientific applications, eigenvalues of a matrix have to be computed. By first reducing a matrix from fully dense to Hessenberg form, eigenvalue computations with the QR algorithm become more effcient. READ MORE