Table 4 \(E^{N,M}_{\varepsilon ,\mu }\) and \(p^{N,M}_{\varepsilon ,\mu }\) with \( \lambda =-1e-03, \) for Example 1
\( \varepsilon \downarrow \mu \rightarrow \) | \( N=32 \) | \( N=64 \) | \( N=128 \) | \( N=256 \) |
|---|---|---|---|---|
\( \Delta t=0.125/2\) | \( \Delta t=0.125/2^{2}\) | \( \Delta t=0.125/2^{3} \) | \( \Delta t=0.125/2^{4} \) | |
\(10^{-4}\) | \(10^{-6}\) | \(10^{-8}\) | \(10^{-10}\) | |
\(10^{-2}\) | \( 5.5116e-03 \) | \( 2.8029e-03 \) | \( 1.4137e-03 \) | \( 7.1003e-04 \) |
0.97555 | 0.98744 | 0.99352 | ||
\(10^{-4}\) | \( 5.5305e-03 \) | \( 2.8183e-03 \) | \( 1.4228e-03 \) | \( 7.1485e-04 \) |
0.97258 | 0.98609 | 0.99302 | ||
\(10^{-6}\) | \( 5.5341e-03 \) | \( 2.8182e-03 \) | \( 1.4228e-03 \) | \( 7.1485e-04 \) |
0.97357 | 0.98604 | 0.99302 | ||
\(10^{-8}\) | \( 5.5349e-03 \) | \( 2.8182e-03 \) | \( 1.4228e-03 \) | \( 7.1485e-04 \) |
0.97378 | 0.98604 | 0.99302 | ||
\(10^{-10}\) | \( 5.5349e-03 \) | \( 2.8182e-03 \) | \( 1.4228e-03 \) | \( 7.1485e-04 \) |
0.97378 | 0.98604 | 0.99302 | ||
\(10^{-12}\) | \( 5.5349e-03 \) | \( 2.8182e-03 \) | \( 1.4228e-03 \) | \( 7.1485e-04 \) |
0.97378 | 0.98604 | 0.99302 | ||
\(E_{\varepsilon ,\mu }^{N,M}\) | \( 5.5349e-03 \) | \( 2.8183e-03 \) | \( 1.4228e-03 \) | \( 7.1485e-04 \) |
\(p_{\varepsilon ,\mu }^{N,M}\) | 0.97378 | 0.98604 | 0.99302 | - |