Homework Exercises
Computational Physics
with Numerical Recipes
Physics 4480 / 7680, Spring 2013
Instructor:
James Sethna
https://sethna.lassp.cornell.edu/Teaching/ComputationalPhysics/
1. 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
.
Computer Lab I: Building your Own Sine
Pre-lab exercises
Laboratory Exercises
2. Interpolation and extrapolation, Integration of functions
Gauss point positions and weights for (-1,1), for
Mathematica
, Matlab
tabulated as a cell list
or
as a function (by Greg von Winckel via Mark Newman)
Computer Lab II: Converting Sine to C++
Pre-lab exercises
Chebfun
Chebfun main site
University of Washington's pychebfun
Alex Alemi's pychebfun
README
LinearSine.h
Makefile
sineTest.cpp
sineTest.h
3. Evaluation of functions and Random numbers
Computer Lab III: Presentations on Sines
Pre-lab exercises
4. Sorting, Root finding, and Minimization
5. Eigensystems and Fast Fourier transform
Random matrix theory exercise
(from 2009.)
Mathematica hints
Main page for exercise
(with Python and perhaps obsolete Matlab hints)
Fourier appendix
from
Entropy, Order Parameters, and Complexity
.
Group Mystery Functions
Mystery time series, group project
Mystery function, group project
Mystery dice, group project
6. Integration of Ordinary Differential Equations
Information and Links
Course main page
Course Wiki for collaborative projects
Numerical Recipes site
and
Electronic Copy (for institutional subscribers)
Setting up Python hints
(Myers)
