Theory and Modern Applications
Table 1f Errors and order for UM-FOCS in Example 5.1
τ = 1.0 | τ = 0.1 | τ = 0.01 | ||||
|---|---|---|---|---|---|---|
L + 1 | \(\mathfrak {l}_{2}^{ ( I,J,K )}\) | \(\varTheta _{2}\) | \(\mathfrak {l}_{2}^{ ( I,J,K )}\) | \(\varTheta _{2}\) | \(\mathfrak {l}_{2}^{ ( I,J,K )}\) | \(\varTheta _{2}\) |
4 | 4.69e–04 | – | 4.02e–02 | – | 9.99e–00 | – |
8 | 2.31e–05 | 4.30 | 2.55e–03 | 4.0 | 2.26e–00 | 2.1 |
16 | 1.30e–06 | 4.10 | 1.51e–04 | 4.1 | 4.54e–01 | 2.3 |