Sökning: "finite difference method"

Visar resultat 1 - 5 av 167 avhandlingar innehållade orden finite difference method.

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

    Detta är en avhandling från Uppsala : Acta Universitatis Upsaliensis

    Författare :Abraham Zemui; Uppsala universitet.; Uppsala universitet.; [2003]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; finite element method; mass lumping; high order; finite difference method; wave equation; Numerical Analysis; Numerisk analys;

    Sammanfattning : 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. LÄS MER

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

    Detta är en avhandling från Chalmers University of Technology

    Författare :David Degerfeldt; Chalmers tekniska högskola.; Chalmers University of Technology.; [2007]
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Elektroteknik; Electrical engineering; Maxwell s equations; Finite Element Method; Finite-Differences Time-Domain; Nitsche s method; explicit-implicit time-stepping; stability analysis; edge elements; mass lumping; shape and material optimization; scattering; NASA almond; periodic structures; antenna arrays;

    Sammanfattning : 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 the hexahedrons in the structured FDTD region. LÄS MER

  3. 3. Stable High-Order Finite Difference Methods for Aerodynamics

    Detta är en avhandling från Uppsala : Acta Universitatis Upsaliensis

    Författare :Magnus Svärd; Uppsala universitet.; Uppsala universitet.; [2004]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Numerical Analysis; Numerisk analys; finite difference methods; high-order accuracy; summation-by-parts; stability; energy estimates; finite volume methods; MATHEMATICS Applied mathematics Numerical analysis; MATEMATIK Tillämpad matematik Numerisk analys; Scientific Computing; Beräkningsvetenskap;

    Sammanfattning : 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. LÄS MER

  4. 4. Accurate Finite Difference Methods for Option Pricing

    Detta är en avhandling från Uppsala : Acta Universitatis Upsaliensis

    Författare :Jonas Persson; Uppsala universitet.; Uppsala universitet.; [2006]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Finite differences; Option pricing; Adaptive methods; Numerical Analysis; Numerisk analys;

    Sammanfattning : 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. LÄS MER

  5. 5. Summation-by-Parts Operators for High Order Finite Difference Methods

    Detta är en avhandling från Uppsala : Acta Universitatis Upsaliensis

    Författare :Ken Mattsson; Uppsala universitet.; Uppsala universitet.; [2003]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Numerical Analysis; Numerisk analys; finite difference methods; accuracy; stability; dissipation; MATHEMATICS Applied mathematics Numerical analysis; MATEMATIK Tillämpad matematik Numerisk analys; Scientific Computing; Beräkningsvetenskap; Dinite difference methods;

    Sammanfattning : High order accurate finite difference methods for hyperbolic and parabolic initial boundary value problems (IBVPs) are considered. Particular focus is on time dependent wave propagating problems in complex domains. Typical applications are acoustic and electromagnetic wave propagation and fluid dynamics. LÄS MER