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Analysis of the finite difference scheme
A similar discrete u^n_q = e^{i(kx_q - \tilde\omega t_n)} solves
[D_tD_t u = c^2 D_xD_x u]^n_q
Note: different frequency \tilde\omega\neq\omega
- How accurate is \tilde\omega compared to \omega ?
- What about the wave amplitude?
