Well it seems to fill up |Re(z)| <= 0.6, at z = +/-0.6, I get:
In the Table 3 on one paper you gave you have tet(0.6) ~ 1.812138535702 and tet(-0.6) ~ 0.402829591784 so it looks fairly good. But I think the accuracy starts to trail off as we get past this point until finally around 0.96 or so it exceeds e and so I say it fails at that point. So it seems to be able to fill a strip slightly wider than |Re(z)| <= 0.6. Even at 0.8 it still gets around or nearly 4 places or so (if you round) past the decimal point. So yeah, it fills the strip |Re(z)| <= 0.6 and thus |Re(z)| < 0.6. It gets fairly good accuracy (estimated by residuals where both points z and z-1 lie in that strip, 7-8 decimals past the point I'd guess) even out to z = +/- 0.6 +/- 20i, which is pretty good.
Code:
v = node vector w/811 nodes
running PointEvaluate(v, 24.0, bias + 0.6):
1.812138537279338 - 8.914174736904257 E-18*I
(i.e. z = 0.6)
running PointEvaluate(v, 24.0, bias - 0.6):
0.4028295911130196 + 4.939896148387080 E-18*I
(i.e. at z = -0.6)In the Table 3 on one paper you gave you have tet(0.6) ~ 1.812138535702 and tet(-0.6) ~ 0.402829591784 so it looks fairly good. But I think the accuracy starts to trail off as we get past this point until finally around 0.96 or so it exceeds e and so I say it fails at that point. So it seems to be able to fill a strip slightly wider than |Re(z)| <= 0.6. Even at 0.8 it still gets around or nearly 4 places or so (if you round) past the decimal point. So yeah, it fills the strip |Re(z)| <= 0.6 and thus |Re(z)| < 0.6. It gets fairly good accuracy (estimated by residuals where both points z and z-1 lie in that strip, 7-8 decimals past the point I'd guess) even out to z = +/- 0.6 +/- 20i, which is pretty good.