Search for dissertations about: "Finite Difference Method"
Showing result 1 - 5 of 209 swedish dissertations containing the words Finite Difference Method.
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1. High Order Symmetric Finite Difference Schemes for the Acoustic Wave Equation
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
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2. Finite Difference and Discontinuous Galerkin Methods for Wave Equations
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
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3. A hybrid finite element method for electromagnetics with applications in time-domain
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
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4. Stable High-Order Finite Difference Methods for Aerodynamics
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
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5. Accurate Finite Difference Methods for Option Pricing
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