Theory and Modern Applications
Δt | h | \(L^{2}\) error | \(L^{2}\) error order | \(H^{1}\) error | \(H^{1}\) error order |
---|---|---|---|---|---|
1/2 | 1/2 | 0.2509 | Â | 1.5154 | Â |
1/4 | 1/8 | 0.0651 | 1.9464 | 0.7737 | 0.9699 |
1/8 | 1/32 | 0.0138 | 2.2380 | 1.3764 | 1.0395 |
1/16 | 1/128 | 0.0099 | 0.4792 | 0.2169 | 0.7952 |