Theory and Modern Applications
Table 1e 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 | 5.51e–04 | – | 4.26e–02 | – | 9.99-00 | – |
8 | 2.78e–05 | 4.3 | 2.76e–03 | 3.9 | 2.28-00 | 2.1 |
16 | 6.45e–07 | 5.4 | 1.67e–04 | 4.0 | 4.58e–01 | 2.3 |