Teaching‎ > ‎

Numerical Analysis 2013

Reference texts

  1. K. Atkinson, Introduction to Numerical Analysis, Wiley
  2. David Kincaid and E. Ward Cheney, Numerical Analysis: Mathematics of scientific computing

Computer programs

Some of the programs are hosted on googlecode. To download the source code, click on the link to the right which says "View raw file". Then save the file to your computer.

Computer arithmetic

  1. Bisection method: matlab, python
  2. Newton method: matlab, python

Interpolation

  1. Condition of vandermonde matrix: matlab
  2. Interoplate nice function like cos(x) on uniform data: matlab
  3. Interpolate on uniform and chebyshev points, Runge phenomenon: matlab
  4. Interpolate |x| on uniform and chebyshev points: matlab
  5. Interpolation to show Runge phenomenon, barycentric lagrange formula: python
  6. Behaviour of interpolation error on uniform and chebyshev points: matlab
  7. Behaviour of newton forward differences under roundoff error: matlab
  8. Adaptive piecewise P1 interpolation: matlab
  9. Trigonometric interpolation of periodic function: matlab
  10. Comparison of trigonometric and polynomial interpolation: matlab
  11. Convergence of trigonometric interpolation: matlab

Solving ODE

  1. Euler method, convergence test: python
  2. Euler method, convergence test: python
  3. Euler method, instability example: python
  4. Trapezoidal method, convergence test: python
  5. Absolute stability domains of AB, AM, BDF schemes: python
  6. Example of stiff ODE: python
  7. ODE with periodic solution, quadratic invariant: python