The name is absent

107

where C = 1 0      0 ∈ й^1хЛ«^,:т+1\ To compute a reduced system of dimension

k_w, we apply either BT or IRKA to (4.15) to obtain

W ≈ Cξ(t)

where ξ ∈ lR^fcw, Q ∈ ]W×∖ B ∈ R^kwXNw, Z_s ∈ R^fc,"×¹, and C ∈ IR^lxfcw.

We insert this reduced system back into the coupled system of (4.14). Now we
assume that the matrix Z_s can be applied to the state variable vɪ directly, and hence
we obtain the coupled, weakly-reduced system

(4.16)

4.1.2 Model Reduction of the Strong Part

With the weak part reduced, we now proceed to apply the POD and DEIM to
reduce the strong part following the procedure as detailed in §3. First we take n
snapshots of v_s and store them as

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