Harmonic Oscillator: Numerical Stability Analysis

In course

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Description

This lecture covers numerical methods for solving the harmonic oscillator problem, including explicit and implicit Euler schemes, the Euler-Cromer method, and the Boris-Buneman algorithm. The instructor demonstrates the instability of the explicit Euler scheme and the stability of the implicit Euler scheme. The lecture also discusses the concepts of digital convergence, stability, and symplecticity in the context of oscillatory systems.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_8rrjcn0n

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