Essays about: "Stationary iterative methods"

Showing result 1 - 5 of 6 essays containing the words Stationary iterative methods.

  1. 1. Vectorization of the Jacobi method with single- and multiple right-hand sides

    University essay from Lunds universitet/Matematikcentrum; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Patrik Paaso; [2022]
    Keywords : C ; Vectorization; SIMD; DUNE; VCL; Vc; Jacobi method; Jacobi iteration; discrete Poisson s equation; Stationary iterative methods; Computational science; Optimization; Numerical analysis; Mathematics and Statistics;

    Abstract : Vectorization has been an important consideration for scientific com- puting performance for a long time. Early super computers were designed around vectorization, the so called ”vector computers”, but recent trends point toward favouring other computer architectures, and vector comput- ers are much more rare than they used to be. READ MORE

  3. 2. Computation of Stationary States for Rotating Bose-Einstein Condensates using Spectral Methods

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Adam Erlandsson; Paul Hedvall; [2020]
    Keywords : ;

    Abstract : The Bose-Einstein condensate is a phase of matter that arises when cooling gases of bosons to extremely low temperatures. When studying these condensates one may use the Gross-Pitaevskii equation, which is a non-linear variant of the Schrödinger equation. READ MORE

  4. 3. Stationary iterative methods : Five methods and illustrative examples

    University essay from Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)

    Author : Fanny Karelius; [2017]
    Keywords : Stationary iterative methods; linear systems;

    Abstract : Systems of large sparse linear equations frequently arise in engineering and science. Therefore, there is a great need for methods that can solve these systems. In this thesis we will present three of the earliest and simplest iterative methods and also look at two more sophisticated methods. READ MORE

  5. 4. A comparison of two multilevel Schur preconditioners for adaptive FEM

    University essay from Avdelningen för beräkningsvetenskap

    Author : Christian Karlsson; [2014]
    Keywords : computational science; PDE; partial differential equations; FEM; finite element method; adaptive mesh refinement; Schur complement; multilevel method; iterative method; conjugate gradient method; beräkningsvetenskap; PDE; partiella differentialekvationer; FEM; finita elementmetoden; adaptivt beräkningsnät; adaptiv mesh; Schurkomplement; multilevelmetod; iterativ metod; konjugerade gradientmetoden;

    Abstract : There are several algorithms for solving the linear system of equations that arise from the finite element method with linear or near-linear computational complexity. One way is to find an approximation of the stiffness matrix that is such that it can be used in a preconditioned conjugate residual method, that is, a preconditioner to the stiffness matrix. READ MORE

  6. 5. Blood Velocities Estimation using Ultrasound

    University essay from Lunds universitet/Matematisk statistik

    Author : Elham Pirnia; [2013]
    Keywords : Mathematics and Statistics;

    Abstract : This thesis consists of two parts. In the rst part, the iterative data-adaptive BIAA spectral estimation technique was extended to estimate lateral blood velocities using ultrasound scanners. The BIAA method makes no assumption on samples depth or sampling pattern, and therefore allows for transmission in duplex mode imaging. READ MORE