Theory and Modern Applications
Table 1b 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 | 4.83e–04 | – | 4.13e–02 | – | 1.02e+01 | – |
8 | 2.38e–05 | 4.30 | 2.61e–03 | 4.0 | 2.31e–00 | 2.2 |
16 | 1.34e–06 | 4.10 | 1.55e–04 | 4.1 | 4.61e–01 | 2.3 |