Solving PDEs Involving Characteristics, Expansion Waves and Shocks

[pivoxa15]

Do people find solving PDEs involving characteristics, expansion waves and shocks difficult? I find it extremely difficult. It is hard to get one's head around it. Are there any ways of making it easier?

 

[lonix]

To the shock problems, according to my experience, discrete singular convolution (DSC) method would be a feasible and even better choice for such kind of problems!