I desperately need to read [this paper](http://yoksis.bilkent.edu.tr/pdf/files/13182.pdf), before meeting a would-be supervisor but with limited undergraduate knowledge that I have like Aluffi's *Algebra* and Churchill's *Complex Analysis*, Rudin's *Analysis*, Rabenstein's *Ordinary Differential Equations*, etc. not even one sentence of the paper is readable to me, so I even don't know what area of mathematics is it about! 


What is the necessary prerequisite knowledge to be able to understand the mentioned paper and the best introductory books written about? Thank you! 



On the 2018 paper "On the discretization of Laine equations" by K. Zheltukhin, et al
A couple hints:


* Equation (1.1) is an equation involving partial derivatives (that's what the subscripts denote), so you're in the area of PDE.
* Look up the [Mathematics Subject Classification](https://mathscinet.ams.org/msc/msc.html) codes on the first page. That is another way to identify the general area of mathematics covered by a paper.
* "A detailed discussion of the subject and corresponding
references can be found in the survey [9]." That's probably a good paper to obtain and look at.
* Don't use "et al" when talking about a paper with just two or three authors. It's impolite to the other authors.


