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Table 6 \(\epsilon^{(j)}_{1}\), \(\epsilon^{(j)}_{2}\), \(j=1,\ldots,N\) 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 \([1539;1600]\) for solutions \(S_{5}\) in the first part of the table, R is in the interval \([1600;2000]\) for solutions \(S_{5}\) in the second part of the table and R is in the interval \([2000;3000]\) for solutions \(S_{5}\) in the last part of the table

From: Reduced basis method applied to a convective stability problem

j \(\epsilon^{(j)}_{1}\) \(\epsilon^{(j)}_{2} \) R
1 0.785 0.265 1539
2 0.016 0.006 1600
3 3.110−4 8.510−4 1560
4 4.410−5 1.110−5 1545
5 1.110−6 3.010−7 1585
6 7.2 10−7 2.010−8 1541
1 1.154 0.683 1600
2 0.050 0.026 2000
3 0.003 6.610−4 1740
4 3.510−4 1.210−4 1880
5 1.310−5 7.810−6 1640
6 2.710−6 6.410−7 1940
7 2.410−7 5.010−8 1610
1 0.834 0.554 2000
2 0.039 0.022 3000
3 0.002 7.010−4 2380
4 3.410−4 8.910−5 2700
5 1.210−5 4.010−6 2120
6 2.410−6 9.210−7 2880
7 1.310−7 4.610−8 2040
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