Theory and Modern Applications
Table 3 Maximum absolute errors of problem ( 67 )
N = M = K | \(\boldsymbol{\alpha }_{\boldsymbol{1}}\boldsymbol{=}\boldsymbol{}\boldsymbol{\beta }_{\boldsymbol{1}}\boldsymbol{=}\boldsymbol{\alpha }_{\boldsymbol{2}}\boldsymbol{=}\boldsymbol{\beta }_{\boldsymbol{2}}\boldsymbol{=}\boldsymbol{\alpha }_{\boldsymbol{3}}\boldsymbol{=}\boldsymbol{\beta }_{\boldsymbol{3}}\boldsymbol{=}\boldsymbol{0}\) | \(\boldsymbol{\alpha }_{\boldsymbol{1}}\boldsymbol{=}\boldsymbol{\beta }_{\boldsymbol{1}}\boldsymbol{=}\boldsymbol{\alpha }_{\boldsymbol{2}}\boldsymbol{=}\boldsymbol{\beta }_{\boldsymbol{2}}\boldsymbol{=}\boldsymbol{\frac{1}{2}}\) , \(\boldsymbol{\alpha }_{\boldsymbol{3}}\boldsymbol{=}\boldsymbol{\beta }_{\boldsymbol{3}}\boldsymbol{=}\boldsymbol{-\frac{1}{2}}\) | ||
|---|---|---|---|---|
\(\boldsymbol{M}_{\boldsymbol{1}}\) | \(\boldsymbol{M}_{\boldsymbol{2}}\) | \(\boldsymbol{M}_{\boldsymbol{1}}\) | \(\boldsymbol{M}_{\boldsymbol{2}}\) | |
4 | 1.29 × 10−3 | 1.30 × 10−3 | 2.12 × 10−3 | 2.21 × 10−3 |
6 | 3.05 × 10−6 | 3.04 × 10−6 | 5.52 × 10−6 | 5.61 × 10−6 |
8 | 3.78 × 10−9 | 3.73 × 10−9 | 7.43 × 10−9 | 7.48 × 10−9 |
10 | 6.43 × 10−11 | 6.68 × 10−11 | 3.30 × 10−10 | 4.84 × 10−10 |