Theory and Modern Applications
From: Multilevel anti-derivative wavelets with augmentation for nonlinear boundary value problems
n | \(\dim S_{n}\) | \(\Vert u-u_{n} \Vert \) | \(\text{Time}_{n}\) | \(\Vert u-u_{1,n-1} \Vert \) | \(\text{Time}_{1,n-1}\) | \(\Vert u-u_{2,n-2} \Vert \) | \(\text{Time}_{2,n-2}\) | \(\Vert u-u_{3,n-3} \Vert \) | \(\text{Time}_{3,n-3}\) |
---|---|---|---|---|---|---|---|---|---|
1 | 3 | 3.6441e+0 | 5.5200e–2 | 4.0184e+0 | 1.5600e–2 |  |  |  |  |
2 | 7 | 1.6750e+0 | 3.4570e–1 | 2.0257e+0 | 4.5810e–1 | 1.7817e+0 | 3.6700e–2 |  |  |
3 | 15 | 7.4431e–1 | 2.7760e+0 | 9.7397e–1 | 7.0520e–1 | 8.1878e–1 | 4.3340e–1 | 7.6238e–1 | 1.5370e–1 |
4 | 31 | 3.6599e–1 | 2.1067e+1 | 4.8121e–1 | 7.5820e–1 | 3.9986e–1 | 6.5820e–1 | 3.7317e–1 | 6.2760e–1 |
5 | 63 | 1.9502e–1 | 1.6468e+2 | 2.4916e–1 | 9.5190e–1 | 2.0838e–1 | 8.5460e–1 | 1.9563e–1 | 1.1097e+0 |