Table 8 The absolute errors \(\pmb{|f(z)-f_{n}(z)|}\) at some selected points on Ω for Example 4
n | 0.2 − 0.4i | 0.3 − 0.2i | 0.6 + 0.2i | 1 + 0.5i |
|---|---|---|---|---|
32 | \(7.0~(-4) \) | \(1.6~(-3) \) | \(1.3~(-3) \) | \(1.1~(-3) \) |
64 | \(3.87~(-5) \) | \(1.02~(-4) \) | \(8.92~(-5) \) | \(37.07~(-5) \) |
128 | \(2.04~(-6) \) | \(6.23~(-6) \) | \(5.86~(-6) \) | \(4.58~(-6) \) |
256 | \(9.83~(-8) \) | \(3.66~(-7) \) | \(3.76~(-7) \) | \(2.97~(-7) \) |
512 | \(4.34~(-9) \) | \(2.12~(-8) \) | \(2.39~(-8) \) | \(1.92~(-8) \) |
1,024 | \(1.87~(-10) \) | \(1.22~(-9) \) | \(1.51~(-9) \) | \(1.24~(-9) \) |