Theory and Modern Applications
Table 9 Problem 4 : MAEs using ( 2.7a )-( 2.7b ) with \(\pmb{C=\lambda}\)
λ | 10 | \(\boldsymbol {10^{2}}\) | \(\boldsymbol {10^{3}} \) | \(\boldsymbol {10^{4}} \) | \(\boldsymbol {10^{5}} \) | |||||
|---|---|---|---|---|---|---|---|---|---|---|
N | u | \(\boldsymbol {u'}\) | u | \(\boldsymbol {u'}\) | u | \(\boldsymbol {u'}\) | u | \(\boldsymbol {u'}\) | u | \(\boldsymbol {u'}\) |
32 | 3.10e−04 | 2.13e−03 | 1.54e−04 | 8.59e−03 | 3.56e−05 | 1.91e−02 | 3.44e−05 | 3.37e−02 | 1.43e−02 | 6.35e−02 |
64 | 7.77e−05 | 5.34e−04 | 3.87e−05 | 2.16e−03 | 8.95e−06 | 4.83e−03 | 1.59e−06 | 8.60e−03 | 2.47e−07 | 1.33e−02 |
128 | 1.94e−05 | 1.33e−04 | 9.68e−06 | 5.41e−04 | 2.24e−06 | 1.22e−03 | 3.99e−07 | 2.16e−03 | 6.24e−08 | 3.37e−03 |
256 | 4.86e−06 | 3.33e−05 | 2.42e−06 | 1.35e−04 | 5.60e−07 | 3.05e−04 | 9.98e−08 | 5.41e−04 | 1.56e−08 | 8.46e−04 |
Order | 2.00 | 2.00 | 2.00 | 2.00 | 2.00 | 2.00 | 2.00 | 2.00 | 2.00 | 1.99 |