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Solving the wave equation on graphics processing unit

Matic Tribušon (2014) Solving the wave equation on graphics processing unit. EngD thesis.

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    Abstract

    The aim of this thesis is implementation of algorithm for numerical solution of the wave equation on graphics processing unit. We used Euler and 4th order Runge-Kutta method. The methods differ in calculation complexity, numerical accuracy and numerical stability. Algorithms were implemented on CUDA and OpenCL platforms. Competitive platforms were compared with each other. Results of each step of the calculation were also visualized using OpenGL standard with the purpose of assessing the impact visualization has on time spent by algorithms. Results confirm the hypothesis that the two GPGPU platforms are very similar in performance. CUDA is slightly faster on smaller matrices, OpenCL performs better on larger matrices. Visualization takes a lot of time compared to the calculation. Therefore, in the case of visualization, the choice of platform is not crucial.

    Item Type: Thesis (EngD thesis)
    Keywords: wave equation, Euler method, Runge-Kutta method, GPGPU, CUDA, OpenCL, OpenGL
    Number of Pages: 54
    Language of Content: Slovenian
    Mentor / Comentors:
    Name and SurnameIDFunction
    izr. prof. dr. Uroš Lotrič270Mentor
    Link to COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=51012&select=(ID=1536072643)
    Institution: University of Ljubljana
    Department: Faculty of Computer and Information Science
    Item ID: 2685
    Date Deposited: 15 Sep 2014 17:36
    Last Modified: 27 Nov 2014 12:22
    URI: http://eprints.fri.uni-lj.si/id/eprint/2685

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