Search for tag: "hyperbolic equation"

Partial Differential Equations Lecture 10 - Boundary Conditions

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

From  David Ingram on February 26th, 2021 0 likes 48 plays 0  

Partial Differential Equations Lecture 9 - Results

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

From  David Ingram on February 16th, 2021 0 likes 37 plays 0  

Partial Differential Equations Lecture 9 - MacCormack method in 2D

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

From  David Ingram on February 16th, 2021 0 likes 45 plays 0  

Partial Differential Equations Lecture 9 - Two and three dimensional solvers

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.

From  David Ingram on February 16th, 2021 0 likes 44 plays 0  

Partial Differential Equations, Lecture 8c: MUSCL Schemes

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

From  David Ingram on February 15th, 2021 0 likes 56 plays 0  

Partial Differential Equations, Lecture 8b: TVD MacCormack

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

From  David Ingram on February 15th, 2021 0 likes 59 plays 0  

Partial Differential Equations, Lecture 8a: Monotone Methods for Conservation Laws

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

From  David Ingram on February 15th, 2021 0 likes 42 plays 0  

Partial Differential Equations, Lecture 7a: Numerical solution of hyperbolic PDEs.

A lecture introducing numerical methods for hyperbolic PDEs

From  David Ingram on February 8th, 2021 0 likes 52 plays 0