Homework Exercises

Computational Physics

with Numerical Recipes

Physics 480 / 680, Spring 2009

Instructor: James Sethna

http://www.physics.cornell.edu/sethna/teaching/ComputationalPhysics/

Preliminaries, Solution of linear algebraic equations,
- NoisyFunction.dat
- corrected form of tnt_linalg.h (for C++ version of exercise 1.3).
- Hints for Octave and Matlab, Python, C++, and Mathematica.
Group project #1: Building your Own Sine
Interpolation and extrapolation, Integration of functions
- Gauss point positions and weights for (-1,1), for octave/matlab
Group project #2: C++ Sine Template files
Evaluation of functions and Random numbers
Group project #3: Testing and Refining the Sines
Sorting, Root finding, and Minimization
Eigensystems and Fast Fourier transform
- Random matrix theory exercise (due Friday before Piet Brouwer's guest lecture)
  - Mathematica hints
  - Main page for exercise (with Python and perhaps obsolete Matlab hints)
- Fourier appendix from Entropy, Order Parameters, and Complexity.
Group Mystery Functions
Integration of Ordinary Differential Equations

Two-Point Boundary Value Problems
Partial Differential Equations
Information and Links