In the 2nd part of the lecture we look at boundary conditions for systems of hyperbolic equations.

Here we look in detail at the results from the test problem and discuss dispersive and dissipative errors.

This part of the lecture develops a 2D solver using the method of Fractional Steps and the MacCormack scheme and applies it to a test problem

In this lecture we look at operator splitting and the method of fractional steps which can be used to solve 2 and 3D problems with 1D schemes.

We look briefly at how MUSCL schemes use weighted interpolation of fluxes as an alternative to the TVD schemes.

Here we implement the MacCormack scheme with a TVD correction in Matlab and apply it to a test problem

In this lecture we look at schemes which are not prone to producing the spurious "Gibbs" oscillations we saw in the last lecture. We start b talking about TVD schemes

A lecture introducing numerical methods for hyperbolic PDEs