Search for dissertations about: "Finite difference method"

Showing result 1 - 5 of 209 swedish dissertations containing the words Finite difference method.

  2. 1. High Order Symmetric Finite Difference Schemes for the Acoustic Wave Equation

    Author : Abraham Zemui; Bertil Gustafsson; Leif Abrahamsson; Per Weinerfelt; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite element method; mass lumping; high order; finite difference method; wave equation; Numerical Analysis; Numerisk analys;

    Abstract : When someone speaks, or when a piano is played, sound waves are spread through the room. Physically the propagation of sound is governed by the acoustic wave equation. This thesis deals with the problem of finding solutions to this equation by numerical methods. READ MORE

  4. 2. Finite Difference and Discontinuous Galerkin Methods for Wave Equations

    Author : Siyang Wang; Gunilla Kreiss; Thomas Hagstrom; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Wave propagation; Finite difference method; Discontinuous Galerkin method; Stability; Accuracy; Summation by parts; Normal mode analysis; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : Wave propagation problems can be modeled by partial differential equations. In this thesis, we study wave propagation in fluids and in solids, modeled by the acoustic wave equation and the elastic wave equation, respectively. READ MORE

  5. 3. A hybrid finite element method for electromagnetics with applications in time-domain

    Author : DAVID DEGERFELDT; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Nitsche s method; antenna arrays; NASA almond; edge elements; scattering; explicit-implicit time-stepping; Maxwell s equations; Finite Element Method; mass lumping; stability analysis; Finite-Differences Time-Domain; periodic structures; shape and material optimization;

    Abstract : In this thesis, a new hybrid method that combines the Finite Element Method (FEM) with the Finite-Difference in Time-Domain (FDTD) method is presented. Tetrahedrons in the unstructured FEM region are connected directly to thehexahedrons in the structured FDTD region. READ MORE

  6. 4. Stable High-Order Finite Difference Methods for Aerodynamics

    Author : Magnus Svärd; Jan Nordström; Thomas Hagstrom; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite difference methods; high-order accuracy; summation-by-parts; stability; energy estimates; finite volume methods; Numerical analysis; Numerisk analys; Scientific Computing; Beräkningsvetenskap; Numerical Analysis;

    Abstract : In this thesis, the numerical solution of time-dependent partial differential equations (PDE) is studied. In particular high-order finite difference methods on Summation-by-parts (SBP) form are analysed and applied to model problems as well as the PDEs governing aerodynamics. READ MORE

  7. 5. Accurate Finite Difference Methods for Option Pricing

    Author : Jonas Persson; Lina von Sydow; Per Lötstedt; Johan Tysk; Jari Toivanen; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Finite differences; Option pricing; Adaptive methods; Numerical Analysis; Numerisk analys;

    Abstract : Stock options are priced numerically using space- and time-adaptive finite difference methods. European options on one and several underlying assets are considered. These are priced with adaptive numerical algorithms including a second order method and a more accurate method. READ MORE