Function values at particular points

The contour plots and the one-dimensional cuts can only show rough errors. When serious comparisons begin, we need to see numerical values of $u(x,y;\varepsilon )$. Such values can be given at the points of intersection of the one-dimensional cuts given above. So, for each $\varepsilon$ for which a computation is made, we propose a table of type

$u(x,y;\varepsilon )$	$x=-1$	$x=0$	$x=1$	$x=2$	$x=4$	$x=8$
$y=1+\varepsilon ^{1/2}$
$y=1$
$y=1-\varepsilon ^{1/2}$
$y=0$

$u(x,y;\varepsilon )$	$r=1+\varepsilon$	$r=1+\varepsilon ^{2/3}$	$r=1+\varepsilon ^{1/2}$	$r=1+\varepsilon ^{1/3}$
$y=1$
$y=1-\varepsilon ^{1/2}$
$y=0$
$x=-1$
$x=0$
$x=1$