Theory and Modern Applications
Table 4 Example 3 : Numerical results for \(\pmb{p=1}\)
From: Wavelet multilevel augmentation method for linear boundary value problems
n | \(\boldsymbol {\dim S_{n}}\) | \(\boldsymbol {\|u-u_{n}\|}\) | \(\boldsymbol {\|u-u_{1,n-1}\|}\) | \(\boldsymbol {\|u-u_{2,n-2}\|}\) | \(\boldsymbol {\|u-u_{3,n-3}\|}\) |
|---|---|---|---|---|---|
2 | 3 | 0.4221 | Â | Â | Â |
3 | 7 | 0.1993 | 0.2123 | Â | Â |
4 | 15 | 0.0994 | 0.1051 | 0.1049 | Â |
5 | 31 | 0.0502 | 0.0561 | 0.0555 | 0.0555 |
6 | 63 | 0.0278 | 0.0303 | 0.0303 | 0.0302 |