Sökning: "large eigenvalue problem"

Visar resultat 1 - 5 av 11 uppsatser innehållade orden large eigenvalue problem.

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

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

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

    Sammanfattning : 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. LÄS MER

  3. 2. Computationally Efficient Methods in Topology Optimization

    Uppsats för yrkesexamina på avancerad nivå, Lunds universitet/Hållfasthetslära; Lunds universitet/Institutionen för byggvetenskaper

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

    Sammanfattning : 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. LÄS MER

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

    Master-uppsats, KTH/Matematisk statistik

    Författare :Emil Backman; David Petersson; [2020]
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

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

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Daniel Lilja; Olof Hummelgren; [2020]
    Nyckelord :;

    Sammanfattning : 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. LÄS MER

  7. 5. Image Processing using Graph Laplacian Operator

    Master-uppsats, KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Författare :David Wobrock; [2019]
    Nyckelord :;

    Sammanfattning : 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. LÄS MER