Theory and Modern Applications
t | \(u_{2}(t)\) exact | EE with \(u_{2}(T)=\cos (T)\) | Corrected EE | TR \(u_{2}(T)=\cos (T)\) | Corrected TR |
---|---|---|---|---|---|
0 | 1 | 0.00672286 | 1.0011 | 0.999267 | 1.0001 |
0.001 | 0.999 | 0.00671611 | 1.0001 | 0.998267 | 0.999101 |
0.002 | 0.998002 | 0.00670937 | 0.9991 | 0.997269 | 0.998102 |
0.003 | 0.997004 | 0.00670264 | 0.9981 | 0.996271 | 0.997105 |
0.004 | 0.996008 | 0.00669591 | 0.997102 | 0.995275 | 0.996108 |
0.005 | 0.995012 | 0.00668919 | 0.996104 | 0.994279 | 0.995113 |
0.006 | 0.994018 | 0.00668247 | 0.995108 | 0.993285 | 0.994118 |
0.007 | 0.993024 | 0.00667576 | 0.994112 | 0.992291 | 0.993125 |
0.008 | 0.992032 | 0.00666906 | 0.993118 | 0.991298 | 0.992132 |
0.009 | 0.99104 | 0.00666237 | 0.992124 | 0.990307 | 0.99114 |
0.01 | 0.990049 | 0.00665568 | 0.991131 | 0.989316 | 0.99015 |
0.05 | 0.951151 | 0.00639307 | 0.95216 | 0.950417 | 0.951252 |
0.1 | 0.904247 | 0.00607641 | 0.905175 | 0.90351 | 0.904347 |
0.15 | 0.858825 | 0.00576978 | 0.859682 | 0.858085 | 0.858926 |
0.2 | 0.814509 | 0.00547062 | 0.815303 | 0.813764 | 0.814611 |
0.25 | 0.770989 | 0.00517685 | 0.771727 | 0.770239 | 0.771092 |