Sökning: "vågekvationen"
Visar resultat 1 - 5 av 8 uppsatser innehållade ordet vågekvationen.
1. Finita differensapproximationer av tvådimensionella vågekvationen med variabla koefficienter
Kandidat-uppsats,Sammanfattning : I [Mattson, Journal of Scientific Computing 51.3 (2012), s. 650–682] konstruerades partialsummeringsoperatorer för finita differensapproximationer av andraderivator med variabla koefficienter. LÄS MER
2. Computation of Underwater Acoustic Wave Propagation Using the WaveHoltz Iteration Method
Master-uppsats, KTH/Skolan för elektroteknik och datavetenskap (EECS)Sammanfattning : In this thesis, we explore a novel approach to solving the Helmholtz equation,the WaveHolz iteration method. This method aims to overcome some ofthe difficulties with solving the Helmholtz equation by providing a highlyparallelizable iterative method based on solving the time-dependent Waveequation. LÄS MER
3. Computation of Acoustic Wave Propagation Under Water
Master-uppsats, KTH/Matematik (Avd.)Sammanfattning : In this thesis we look at acoustic wave propagation under water. We look in particular at waves generated by a point source and what happens with the propagation when we model the bottom as flat or as curvilinear. We assume the source to be working at a certain frequency and therefore we model this problem by solving the Helmholtz equation. LÄS MER
4. Numerical simulation of acoustic wave propagation with a focus on modeling sediment layers and large domains
Uppsats för yrkesexamina på avancerad nivå, Uppsala universitet/Avdelningen för beräkningsvetenskapSammanfattning : In this report, we study how finite differences can be used to simulate acoustic wave propagation originating from a point source in the ocean using the Helmholtz equation. How to model sediment layers and the vast size of the ocean is studied in particular. LÄS MER
5. Computation of Eigenmodes in Three-Dimensional Structures
Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)Sammanfattning : In this thesis the eigenmodes and eigenvalues of three dimensional structures are analyzed using the Python environment FEniCS in combination with an implementation of the Arnoldi method in MATLAB for calculation of eigenpairs. This is done by considering separable solutions of the wave equation and subsequently expressing these as the solutions to an eigenvalue problem. LÄS MER