Theory and Modern Applications
Table 4 The pointwise AE for Example 2 at \(M=10\) and \(\delta =0.7\)
x | SU-pseudo-GM | NNM | IRBF | DRBF | |||
|---|---|---|---|---|---|---|---|
S | ν | [41] | [42] | [42] | |||
−0.49 | 0.49 | 1 | |||||
0.1 | \(S_{1}\) | 4.5e-05 | 4.5e-05 | 4.5e-05 | 2.3e-03 | 5.8e-05 | 7.1e-05 |
\(S_{2}\) | 3.9e-06 | 1.1e-06 | 9.4e-07 | ||||
0.2 | \(S_{1}\) | 3.6e-05 | 3.6e-05 | 3.6e-05 | 5.5e-03 | 4.4e-05 | 5.5e-05 |
\(S_{2}\) | 1.1e-07 | 1.1e-06 | 5.9e-07 | ||||
0.3 | \(S_{1}\) | 2.9e-05 | 2.9e-05 | 2.9e-05 | 7.3e-03 | – | – |
\(S_{2}\) | 2.0e-07 | 1.7e-06 | 6.2e-07 | ||||
0.4 | \(S_{1}\) | 2.7e-05 | 2.7e-05 | 2.7e-05 | 6.3e-03 | – | – |
\(S_{2}\) | 4.6e-06 | 2.6e-06 | 2.3e-06 | ||||
0.5 | \(S_{1}\) | 2.4e-05 | 2.4e-05 | 2.4e-05 | 1.5e-03 | 3.1e-05 | 3.6e-05 |
\(S_{2}\) | 3.7e-07 | 1.6e-06 | 3.8e-07 | ||||
0.6 | \(S_{1}\) | 2.2e-05 | 2.2e-05 | 2.2e-05 | 5.6e-03 | 2.8e-05 | 3.9e-05 |
\(S_{2}\) | 6.7e-07 | 1.4e-06 | 2.9e-07 | ||||
0.7 | \(S_{1}\) | 1.9e-05 | 1.9e-05 | 1.9e-05 | 9.0e-03 | – | – |
\(S_{2}\) | 3.4e-06 | 1.9e-06 | 1.7e-06 | ||||
0.8 | \(S_{1}\) | 1.6e-05 | 1.6e-05 | 1.6e-05 | 1.2e-03 | – | – |
\(S_{2}\) | 1.6e-07 | 1.4e-06 | 6.8e-07 | ||||
0.9 | \(S_{1}\) | 1.3e-05 | 1.3e-05 | 1.3e-05 | 1.5e-02 | 1.5e-05 | 2.3e-05 |
\(S_{2}\) | 7.4e-07 | 7.0e-07 | 1.1e-06 | ||||
1 | \(S_{1}\) | 9.7e-06 | 9.7e-06 | 9.7e-06 | 1.1e-02 | 1.2e-05 | 1.3e-05 |
\(S_{2}\) | 1.1e-07 | 3.8e-07 | 1.7e-06 | ||||