Essays about: "large eigenvalue problem"

Showing result 1 - 5 of 10 essays containing the words large eigenvalue problem.

  1. 1. Dirichlet-to-Neumann maps and Nonlinear eigenvalue problems

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Tindra Jernström; Anna Öhman; [2023]
    Keywords : Dirichlet-to-Neumann maps; Nonlinear eigenvalue problems; Absorbing boundary conditions;

    Abstract : Differential equations arise frequently in modeling of physical systems, often resulting in linear eigenvalue problems. However, when dealing with large physical domains, solving such problems can be computationally expensive. READ MORE

  3. 2. Computationally Efficient Methods in Topology Optimization

    University essay from Lunds universitet/Hållfasthetslära; Lunds universitet/Institutionen för byggvetenskaper

    Author : Vilmer Dahlberg; [2022]
    Keywords : Topology Optimization; Eigenfrequency; Eigenmode; Reduced Order Model; Sensitivity Analysis; Deflation; Technology and Engineering;

    Abstract : In topology optimization, iterative, gradient-based methods are used to find the material distribution of structures which maximizes some objective function, typically the structures' stiffness, or in some cases the fundamental frequency. Finite element analysis is used to compute the structural response in each iteration, leading to large systems of equations. READ MORE

  4. 3. Evaluation of methods for quantifying returns within the premium pension

    University essay from KTH/Matematisk statistik

    Author : Emil Backman; David Petersson; [2020]
    Keywords : Pension; internal rate of return; applied mathematics; big matrix; numerical methods; large eigenvalue problem; finance; risk analysis; extreme value modeling; probability; stochastic modeling; Pension; intern ränta; tillämpad matematik; stora matrismetoder; numeriska metoder; stora egenvärdesproblem; finans; riskanalys; modellering av extrema värden; sannolikhet; stokastisk modellering;

    Abstract : Pensionsmyndigheten's (the Swedish Pensions Agency) current calculation of the internal rate of return for 7.7 million premium pension savers is both time and resource consuming. READ MORE

  5. 4. Computation of Eigenmodes in Three-Dimensional Structures

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Daniel Lilja; Olof Hummelgren; [2020]
    Keywords : ;

    Abstract : In this thesis the eigenmodes and eigenvalues of three dimensional structures are analyzed using the Python environment FEniCS in combination with an implementation of the Arnoldi method in MATLAB for calculation of eigenpairs. This is done by considering separable solutions of the wave equation and subsequently expressing these as the solutions to an eigenvalue problem. READ MORE

  6. 5. Image Processing using Graph Laplacian Operator

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : David Wobrock; [2019]
    Keywords : ;

    Abstract : The latest image processing methods are based on global data-dependent filters. These methods involve huge affinity matrices which cannot fit in memory and need to be approximated using spectral decomposition. READ MORE