Wave Equation Stability

In course

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Description

This lecture covers the stability analysis of the finite difference scheme for the wave equation, exploring the concept of clean modes and resonant excitation. It delves into the explicit diagram with 3 levels, eigenmodes, eigenfrequencies, and the von Neumann stability analysis. The instructor demonstrates the stability condition and the possibility of exponential amplitude growth over time.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_dfgj5bcm

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