Practical Numerical Analysis (202324)
Section outline


1D interpolation (including splines). The material for this sheet is contained in Lecture 1: Interpolation and Lecture 2: Splines.

Quadrature and rootfinding. The material for this sheet is contained in Lecture 3: Quadrature and Lecture 4: Rootfinding.

The \(\theta\)method and Runge Kutta schemes for ODE initial value problems. The material for this sheet is contained in Lecture 5: Initial Value Problems: ODEs and Lecture 6: Initial Value Problems: ODEs.

Adaptive RungeKutta methods, linear multistep methods and the 1D heat equation. The material for this sheet is contained in Lecture 7: Initial Value Problems: ODEs and Lecture 8: 1D Parabolic PDEs: Finite Difference Methods.

The \(\theta\)method for solving initial value ODE problems.

RungeKutta schemes for solving ODE initial value problems.

Adaptive RungeKutta schemes & linear multistep methods.
