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The spectral discretization of the second-order wave equation

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Oct 08, 2022

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In this paper we deal with the discretization of the second order wave equation by the implicit Euler scheme for the time and the spectral method for the space. We prove that the time semi discrete and the full discrete problems are well posed. We show an optimal error estimates related to both variables time and space.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics