> There's a whole field to simulate PDEs that you can't solve exactly. There are whole fields to simulate one particular PDE: Computational fluid mechanics for

> There's a whole field to simulate PDEs that you can't solve exactly. There are whole fields to simulate one particular PDE: Computational fluid mechanics for the Navier-Stokes equation. Computational electromagnetics for Maxwell's equations. Computational chemistry for the Schrödinger equation. Mathematical finance ...probably does also other things than just simulates the Black-Scholes equation.