Theory and Modern Applications
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 | 1.6427 | Â | Â | Â |
3 | 7 | 0.6045 | 0.6458 | Â | Â |
4 | 15 | 0.2424 | 0.2488 | 0.2494 | Â |
5 | 31 | 0.1124 | 0.1162 | 0.1162 | 0.1170 |
6 | 63 | 0.0589 | 0.0607 | 0.0607 | 0.0606 |
7 | 127 | 0.0309 | 0.0325 | 0.0325 | 0.0325 |
8 | 255 | 0.0154 | 0.0161 | 0.0161 | 0.0161 |
9 | 511 | 0.0085 | 0.0087 | 0.0087 | 0.0087 |