Theory and Modern Applications
Table 1 Example 1 : Numerical results for \(\pmb{p=1}\)
From: Wavelet multilevel augmentation method for linear boundary value problems
n | \(\boldsymbol {\dim S_{n}}\) | \(\boldsymbol {\|u-u_{n}\|}\) | \(\boldsymbol {\|u-u_{1,n-1}\|}\) | \(\boldsymbol {\|u-u_{2,n-2}\|}\) |
|---|---|---|---|---|
2 | 3 | 8.0368e−001 |  |  |
3 | 7 | 5.6412e−001 | 5.7409e−001 |  |
4 | 15 | 3.7341e−001 | 3.9796e−001 | 4.0020e−001 |
5 | 31 | 2.2508e−001 | 2.7097e−001 | 2.6985e−001 |
6 | 63 | 1.4568e−001 | 1.7275e−001 | 1.7293e−001 |
7 | 127 | 8.8603e−002 | 1.1148e−001 | 1.1143e−001 |