Theory and Modern Applications
ε | N = 8 | N = 16 | N = 32 | N = 64 | N = 128 | N = 256 | N = 512 |
---|---|---|---|---|---|---|---|
Δt = 0.1 | Δt = 0.1/2 | Δt = 0.1/22 | Δt = 0.1/23 | Δt = 0.1/24 | Δt = 0.1/25 | Δt = 0.1/26 | |
1 | 1.9169e−01 | 1.8765e−01 | 1.4776e−01 | 9.7571e−02 | 5.7092e−02 | 3.1057e−02 | 1.6222e-02 |
10−1 | 2.0157e−01 | 1.5386e−01 | 9.9026e−02 | 5.6998e−02 | 3.0701e−02 | 1.5952e−02 | 8.1328e-03 |
10−2 | 1.9835e−01 | 1.4615e−01 | 9.1730e−02 | 5.1998e−02 | 2.7761e−02 | 1.4356e−02 | 7.3013e-03 |
10−3 | 1.9792e−01 | 1.4531e−01 | 9.0969e−02 | 5.1441e−02 | 2.7447e−02 | 1.4189e−02 | 7.2176e-03 |
10−4 | 1.9789e−01 | 1.4523e−01 | 9.0893e−02 | 5.1389e−02 | 2.7427e−02 | 1.4176e−02 | 7.2080e-03 |
10−5 | 1.9788e−01 | 1.4522e−01 | 9.0885e−02 | 5.1384e−02 | 2.7429e−02 | 1.4176e−02 | 7.2082e-03 |
10−6 | 1.9788e−01 | 1.4522e−01 | 9.0885e−02 | 5.1384e−02 | 2.7430e−02 | 1.4177e−02 | 7.2085e-03 |
10−7 | 1.9788e−01 | 1.4522e−01 | 9.0885e−02 | 5.1384e−02 | 2.7430e−02 | 1.4177e−02 | 7.2086e-03 |
10−8 | 1.9788e−01 | 1.4522e−01 | 9.0885e−02 | 5.1384e−02 | 2.7431e−02 | 1.4177e−02 | 7.2087e-03 |
10−9 | 1.9788e−01 | 1.4522e−01 | 9.0885e−02 | 5.1384e−02 | 2.7431e−02 | 1.4177e−02 | 7.2087e-03 |
10−10 | 1.9788e−01 | 1.4522e−01 | 9.0885e−02 | 5.1384e−02 | 2.7431e−02 | 1.4177e−02 | 7.2087e-03 |
\(E^{N,\Delta t}\) | 2.0157e−01 | 1.8765e−01 | 1.4776e−01 | 9.7571e−02 | 5.7092e−02 | 3.1057e−02 | 1.6222e-02 |
\(p^{N,\Delta t}\) | 1.0324e−01 | 3.4479e−01 | 5.9873e−01 | 7.7316e−01 | 8.7837e−01 | 9.3697e−01 | – |