I have established existence and uniqueness of solutions to a nonlinear elliptic system of PDE's and would like to see how the solutions look like numerically. I have some programming background on MatLab and C++. I also understand basic ODE numerical schemes. But I am not so sure, if I need to begin by first reading books on Numerical Analysis or is there a more direct way to learning about numerical solutions to my particular problem? Thanks in advance for your discussion.