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Table 5 \(\epsilon^{(j)}_{1}\), \(\epsilon^{(j)}_{2}\), \(j=1,\ldots,N\) and the respective Rayleigh number R in which the maximum takes place for different dimensions j of the reduced basis space. R is in the interval \([1538;3000]\) for solutions \(S_{5}\)

From: Reduced basis method applied to a convective stability problem

j \(\epsilon^{(j)}_{1}\) \(\epsilon^{(j)}_{2} \) R
1 2.365 1.000 1539
2 0.290 0.162 3000
3 0.035 0.010 1800
4 0.010 0.003 2300
5 0.001 4.710−4 1580
6 3.910−4 7.210−5 2700
7 1.110−4 3.110−5 1550
8 1.610−5 4.410−6 2000
9 2.310−6 8.610−7 1700
10 3.910−7 9.410−8 2900
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