Abstract: |
Representation of mathematical ideas on the computer: numbers, functions, derivative, differential equations.
Simple problems: Solution to Laplace s equation, one'dimensional first order wave equation, heat equation, Finite difference schemes ' stability and consistency, dissipation dispersion, finite volume method.
One'dimensional Euler s equation: Discretisation, Delta form, application of boundary conditions.
Advanced topics: Roe s averaging, Multigrid Methods, SOR and variational techniques. |