The numerical method used by F.X Wortmann for inverse design Apologies in advance for a long-winded question.

Can someone who understands some airfoil theory and German language please help me understand the method outlined in this paper from Prof. FX Wortmann. 

I have back-quoted what I've got so far with Google translate but it doesn't appear to be accurate especially with the given context.




  If you reduce the work of E. Truckenbrodt [8] to calculate the profile shape from the speed distribution to the mere calculation, you come to the following series of formulas: 1. At the n positions of the dimensionless profile depth





  Table 3 contains the constants bm for N24. The following applies to
  the pth approximation step
  
  Table 3 contains the constants is the slope of the tangent to the
  profile shape and results from





  The values ​​amn are listed in Tables 4 and 5. The values ​​amn for
  even-numbered m - n disappear. The table amn with m = 2, 4, ... is
  therefore used to calculate the values ​​y, 'for n = 1, 3, ... A good
  estimate of the correction values ​​x, which greatly abbreviates the
  approximation, can be obtained if one starts from the examples already
  calculated. Eq. (A2) includes (N-1) 2 232 529 operations that can be
  performed in about two hours with a simple electrical calculator. 2.
  The skeleton line of a curved profile, in which the speeds on the top
  of the profile (index o) and underside (index u) are different, is
  calculated





  Table 3 contains the constants dmn. The value for z is already known
  from the above calculation. This skeletal line still needs a minor
  correction, which is reflected in
  
  The constants pa, qn are given in Table 6. The values ​​y, and are
  according to Eq. (A2) and (A5) known. The angle of attack a is
  calculated





  The values ​​d are also shown in Table 3. The final coordinates of a
  curved profile then result from (A11) = y (s) 4ys) + y (). The
  positive sign applies to the top of the profile.


Also with my very limited understanding with possibly incorrect translation, I've got the following questions so far


What is the $(t)$ in $\bar{y}_n^{(t)}$ in (A-2)    
what is the $p^{th}$ approximation in (A-3)     
What is the $(s)$ in $\bar{y}_n^{(s)}$ in (A-2)    
Does (A-6) refers to the camber line calculation?
What is the $(t)$ in $\bar{y}_n^{(t)}$ in (A-2)


The text doesn't say. t in German normally denotes chord (Tiefe), but since we later see $\bar{y}_n^{(s)}$ for the camber line (Skelettlinie), it here stands for Tropfen, denoting the thickness distribution of the uncambered airfoil.

I would also interpret the long dash between $\bar{y}_n^{(t)}$ and the sum in A2 as a misprinted equal sign. Otherways the whole sequence will not add up.


  what is the $p^{th}$ approximation in (A-3)


You mean $p$th, don't you? p is used as the index of a stepwise approximation. $f_m^{(p)}$ is the $p$th iteration of $f_m$.


  What is the $(s)$ in $\bar{y}_n^{(s)}$ in (A-2)


That is only in A 6 and indicates that $\bar{y}_n$ this time denotes the ordinate values for the camber line (see above).


  Does (A-6) refer to the camber line calculation?


Yes.