Sökning: "GMRES"

Visar resultat 6 - 10 av 11 uppsatser innehållade ordet GMRES.

  1. 6. Improving the Finite Difference Approximation in the Jacobian-Free Newton–Krylov Method

    Kandidat-uppsats, Lunds universitet/Matematik LTH

    Författare :Robert Van Heyningen; [2016]
    Nyckelord :GMRES; Jacobian-free; Fluid; Mathematics and Statistics;

    Sammanfattning : The Jacobian-free Newton–Krylov (JFNK) method is designed to solve a linear system of equations that appears in Newton’s method. It uses the generalized minimal residual (GMRES) method to solve the linear system and a simple function to approximate the matrix-vector multiplications required in GMRES. LÄS MER

  3. 7. Parallelization Of The GMRES Method

    Kandidat-uppsats, Lunds universitet/Matematik LTH

    Författare :Morgan Görtz; [2016]
    Nyckelord :GMRES; MPI; Technology and Engineering;

    Sammanfattning : In this thesis a GMRES method is constructed and tested. The method is implemented in a C++ program with the MPI protocol to make it parallel. The parallel parts of this program are discussed in detail, especially the communication and the partitioning of the data between the processes. LÄS MER

  4. 8. Iterative methods and convergence for the time-delay Lyapunov equation

    Master-uppsats, KTH/Numerisk analys, NA

    Författare :Lena Leitenmaier; [2016]
    Nyckelord :;

    Sammanfattning : The delay Lyapunov equation is a matrix boundary value problem arising in the characterization of many properties of time-delay systems, for example stability analysis. Its numerical treatment is challenging. For the special case of single-delay systems, a new algorithm based on a delay free formulation has recently been proposed. LÄS MER

  5. 9. Numerical Implementations of the Generalized Minimal Residual Method (GMRES)

    Kandidat-uppsats, Lunds universitet/Matematik LTH

    Författare :Ivo Dravins; [2015]
    Nyckelord :Generalized Minimal Residual Method; Jacobian-free; GMRES; Householder; Givens rotations; Gram-Schmidt; Mathematics and Statistics;

    Sammanfattning : The generalized minimal residual method (GMRES) is an iterative method used to find numerical solutions to non-symmetric linear systems of equations. The method relies on constructing an orthonormal basis of the Krylov space and is thus vulnerable to an imperfect basis caused by computational errors. LÄS MER

  7. 10. Numerical methods for glacial isostatic adjustment  models

    Master-uppsats, Institutionen för informationsteknologi

    Författare :Juan Carlos Araujo-Cabarcas; [2013]
    Nyckelord :;

    Sammanfattning : Nordic countries experience post-glacial rebound, a movement where geographical contours slowly change elevation with respect to the mean sea level. The glacial isostatic adjustment (GIA) model aims to explain the phenomena, which combined with seismic data allows geoscientists to reconstruct elastic coefficients and viscosities of the Earth's lithosphere and upper mantle. LÄS MER