Theory and Modern Applications
Table 4 Maximum absolute errors with various choices of N , M , and K for problem ( 70 )
N = M = K | \(\boldsymbol{\alpha}_{\boldsymbol{1}}\boldsymbol{=}\boldsymbol{\alpha}_{\boldsymbol{2}}\boldsymbol{=}\boldsymbol{\alpha}_{\boldsymbol{3}}\boldsymbol{=}\boldsymbol{\beta}_{\boldsymbol{1}}\boldsymbol{=}\boldsymbol{\beta}_{\boldsymbol{2}}\boldsymbol{=}\boldsymbol{\beta}_{\boldsymbol{3}}\boldsymbol{=}\boldsymbol{0}\) | \(\boldsymbol{\alpha}_{\boldsymbol{1}}\boldsymbol{=}\boldsymbol{\alpha}_{\boldsymbol{2}}\boldsymbol{=}\boldsymbol{\alpha}_{\boldsymbol{3}}\boldsymbol{=}\boldsymbol{\beta}_{\boldsymbol{1}}\boldsymbol{=}\boldsymbol{\beta}_{\boldsymbol{2}}\boldsymbol{=}\boldsymbol{\beta}_{\boldsymbol{3}}\boldsymbol{=}\boldsymbol{-\frac{1}{2}}\) | ||||
|---|---|---|---|---|---|---|
\(\boldsymbol{M}^{\boldsymbol{u}}_{\boldsymbol{E}}\) | \(\boldsymbol{M}^{\boldsymbol{v}}_{\boldsymbol{E}}\) | \(\boldsymbol{M}^{\boldsymbol{\psi}}_{\boldsymbol{E}}\) | \(\boldsymbol{M}^{\boldsymbol{u}}_{\boldsymbol{E}}\) | \(\boldsymbol{M}^{\boldsymbol{v}}_{\boldsymbol{E}}\) | \(\boldsymbol{M}^{\boldsymbol{\psi}}_{\boldsymbol{E}}\) | |
4 | 2.73 × 10−5 | 2.42 × 10−5 | 3.65 × 10−5 | 1.13 × 10−5 | 1.13 × 10−5 | 2.15 × 10−5 |
6 | 6.18 × 10−8 | 4.00 × 10−8 | 7.36 × 10−8 | 3.25 × 10−8 | 2.17 × 10−8 | 3.36 × 10−8 |
8 | 6.21 × 10−11 | 3.11 × 10−11 | 6.85 × 10−11 | 2.61 × 10−11 | 2.95 × 10−11 | 3.05 × 10−11 |