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Amplification factor ( $H (θ)$ )

For a one-step translation-invariant recurrence, the amplification factor is the multiplier satisfying

u^{n + 1} (θ) = H (θ) u^{n} (θ) .

The Parseval identity converts the pointwise bound

∣ H ∣ \leq 1

into non-growth of the discrete

2

-norm.

Table of contents 46 1
- Amplification factor of a two-sided one-step stencil Amplification factor 18

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