P609 Computational Physics

Department of Physics, Indiana University

Fall, 2013

go to lecture notes go to homework assignments

Meets: Tuesday and Thursday, 2:30 p.m. to 3:45 p.m. in

**Note that this is a cluster of
Apple computers in the physics building near the Physics Forum
commonly known as the Astronomy/Physics
cluster. Please check to see whether you can log in before coming to class.
**

For help with the issues specific to the Astronomy/Physics Cluster in which we meet, send email to support@physics.indiana.edu. This would include issues like you cannot log in, or other problems that only a system administrator can solve.

For help with general computer issues, the Indiana University Knowedge Base is very useful.

These courses (P410/P609) in computer applications may be taken by undergraduates or graduate students. Click to examine the syllabus for the course.

The textbook *An Introduction to Computer Simulation Methods---
Applications to Physical Systems*

Notes for Lecture 1 - Introduction (August 27).

Supplementary Notes for Lectures 2,3 - On-line Help and Unix Tutorials.

Here are some on-line tutorials for AWK:

An AWK Primer

Awk - A Tutorial and Introduction - by Bruce Barnett

Some information on choosing a shell:

UNIX shell differences and how to change your shell

Top Ten
Reasons not to use the C shell

Notes for Lecture 4 - Error Analysis for the Euler Method, Shell Scripts (September 5).

Notes for Lecture 9 - Root Finding, Oscillatory Motion (September 24).

Notes for Lecture 11 - Higher Order Algorithms, Introduction to Mathematica (October 1).

Hands-on Start to Mathematica

How-to Mathematica tutorials

Join the Mathematica Community

Notes for Lecture 12 - Introduction to Mathematica, Random Walks and Biased Estimators (October 3).

Notes for Lecture 15 - Chaos and Logistic Map, Finding Bifurcation Points (October 15).

Notes for Lecture 16 - AHO, Finding Superstable Trajectories (October 22).

Why you might not want to use Numerical RecipiesNotes for Lecture 20 - Sample Mean Method, Inverse Transform Method, Box-Muller Method (October 31).

Notes for Lecture 21 - Correlations, Metropolis Method, Autocorrelations (November 5).

Notes for Lecture 23 - Serial Correlation Tests, Autocorrelations of PRNG (November 12).

Monte Carlo simulations: Hidden errors from "good" random number generatorsNotes for Lecture 25 - Chi-square Distribution (November 19).

go to top of page go to homework assignmentsNotes from Spring 2013 Lectures

Notes for Lecture 1 - Introduction (January 7).

Supplementary Notes for Lectures 2,3 - On-line Help and Unix Tutorials.

Here are some on-line tutorials for AWK:

An AWK Primer

Awk - A Tutorial and Introduction - by Bruce Barnett

Some information on choosing a shell:

UNIX shell differences and how to change your shell

Top Ten
Reasons not to use the C shell

Notes for Lecture 4 - Error Analysis for the Euler Method, Shell Scripts (January 16).

Notes for Lecture 9 - Root Finding, Oscillatory Motion (February 6).

Notes for Lecture 11 - Higher Order Algorithms, Introduction to Mathematica (February 18).

Notes for Lecture 14 - Application of the Jackknife Method, Hist, Blockerr (February 25).

Notes for Lecture 16 - Chaos and Logistic Map (March 1).

Why you might not want to use Numerical RecipiesNotes for Lecture 18 - Lyapunov Exponent, Numerical Integration in One Dimension (March 6).

Notes for Lecture 19 - Simpson's Rule Rederived, Hit or Miss Method, Sample Mean Method (March 18).

Notes for Lecture 20 - Higher Dimensional Integrals, Testing Hit or Miss Method, Aver (March 20).

Notes for Lecture 21 - Sample Mean Method, Inverse Transform Method, Box-Muller Method (March 25).

Notes for Lecture 22 - Correlations, Metropolis Method, Autocorrelations (March 27).

Notes for Lecture 25 - Fitting Data, Chi-squared Distribution (April 8).

Notes for Lecture 27 - Verification of Error Estimates, Non-linear Data Fitting (April 15).

Notes for Lecture 28 - Non-linear Data Fitting, Introduction to Parallel Computing (April 17).

go to top of page go to homework assignmentsNotes from 2012 Lectures

Notes for Lecture 1 - Introduction (January 10).

Supplementary Notes for Lectures 2,3 - On-line Help and Unix Tutorials.

Here are some on-line tutorials for AWK:

An AWK Primer

Awk - A Tutorial and Introduction - by Bruce Barnett

Some information on choosing a shell:

UNIX shell differences and how to change your shell

Top Ten
Reasons not to use the C shell

Notes for Lecture 4 - Error Analysis for the Euler Method, Shell Scripts (January 19).

Notes for Lecture 7 - Body Falling in Position Dependent Potential (continued) (January 31).

Notes for Lecture 12 - Random Walks and Biased Estimators Using Mathematica (February 16).

Notes for Lecture 15 - Chaos and Logistic Map (February 28).

Notes for Lecture 16 - Finding Bifurcation Points and Superstable Trajectories (March 1).

Why you might not want to use Numerical RecipiesNotes for Lecture 18 - Numerical Integration in One Dimension (March 8).

Notes for Lecture 19 - Simpson's Rule Rederived, Hit or Miss Method, Sample Mean Method (March 20).

Notes for Lecture 22 - Inverse Tranform Method, Box-Muller Method (March 29).

Notes for Lecture 23 - Metropolis Algorithm, Autocorrelations (April 3).

Notes for Lecture 24 - Pseudorandom Numbers Generators, Serial Correlation Tests (April 5).

Notes for Lecture 26 - SPRNG, Fitting Data, Chi-squared Distribution (April 12).

Notes for Lecture 27 - Homework Revisited, Chi-squared Distribution (April 17).

Notes for Lecture 28 - More on Chi-squared Distribution (April 19).

go to top of page go to homework assignmentsNotes from 2007 Lectures

Notes for Lecture 1 - Introduction (August 28).

Notes for Lecture 3 - AWK, Introduction to Euler Method (September 4).

Notes for Lecture 4 - Error Analysis for the Euler Method, Shell Scripts (September 6).

Notes for Lecture
10 - Sources of Numerical Analysis Code, Higher Order Algorithms.

Notes for Lecture
10 - How Can We Do Better Than the Euler Algorithm? (PDF) (September 27).

Notes for Lecture 11 - Final Project, Introduction to Mathematica (October 2).

Notes for Lecture 12 - Biased Estimators Using Mathematica (October 9).

Notes for Lecture 15 - Chaos and Logistic Map (October 18).

Notes for Lecture 16 - Chaos and Logistic Map (continued) (October 23).

Notes for Lecture 17 - Finding Bifurcation Points (October 25).

Notes for Lecture 19 - Numerical Integration in One Dimension (November 1).

Notes for Lecture 20 - Simpson's Rule Rederived, AHO, NDSolve, Hit or Miss Method (November 6).

Notes for Lecture 22 - Testing the Hit or Miss Method, Aver (November 13).

Notes for Lecture 23 - Inverse Tranform Method, Box-Muller Method (November 15).

Notes for Lecture 24 - Metropolis Algorithm, Autocorrelations (November 20).

Notes for Lecture 25 - Pseudorandom Numbers Generators, Serial Correlation Tests (November 27).

Notes for Lecture 26 - Feedback Shift Register Random Number Generator, Fitting Data (November 29).

Notes from 2006 Lectures

Notes for Lecture 1 - Introduction (August 29).

Supplementary Notes for Lecture 2 - On-line Help and Unix Tutorials.

Notes for Lecture 3 - AWK, Introduction to Euler Method (September 5).

Notes for Lecture 4 - Error Analysis for the Euler Method, Shell Scripts (September 7).

Notes for Lecture 6 - Newton's Laws of Motion, Energy Nonconservation (September 14).

Notes for Lecture 11 - How Can We Do Better Than the Euler Algorithm? (PDF) (October 3).

Notes for Lecture 12 - Final Project, Introduction to Mathematica (October 5).

Notes for Lecture 13 - Biased Estimators Using Mathematica (October 10).

Notes for Lecture 14 - Hist, Application of the Jackknife Method (October 12).

Notes for Lecture 16 - AHO, NDSolve, Chaos and Logistic Map (continued) (October 19).

Notes for Lecture 20 - Hit or Miss Method, Inverse Transform Method (November 7).

Notes for Lecture 21 - Inverse Transform Method Applied, Box-Muller Method (November 9).

Notes for Lecture 22 - Metropolis Algorithm, Autocorrelations (November 16).

Notes for Lecture 23 - Monte Carlo Error Analysis (November 21).

Notes for Lecture 25 - Pseudorandom Numbers Generators, Serial Correlation Tests (November 30).

Notes for Lecture 26 - Feedback Shift Register Random Number Generator, Fitting Data (December 1).

Notes from 2005 Lectures

Supplementary Notes for Lecture 1 - On-line Help and Unix Tutorials.

Notes for Lecture 2 - Special Characters, Redirection, axis (September 1).

Notes for Lecture 3 - AWK, Introduction to Euler Method (September 6).

Notes for Lecture 5 - Newton's Laws of Motion, Energy Nonconservation (September 13).

Notes for Lecture 8 - Root finding, Running adapt.c to find height (September 27).

Some remarks about C programming (These are not lecture notes, but you might find them useful.)

Notes for Lecture 10 - Error Analysis, Higher Order Algorithms (October 6).

Notes for Lectures 11-14 - Final Project, Introduction to Mathematica, Random Walks (October 11-21).

Notes for Lecture 12 - More Random Walks, Hist, Biased Estimators (October 18).

Notes for Lecture 17 - Project, AHO, Optimal Step Size, Advanced Root Finding (November 1).

Notes for Lecture 19 - Numerical Integration in One Dimension (November 4).

Notes for Lecture 20 - Simpson's Rule Rederived, Hit or Miss Method, (November 8).

Notes from 2004 Lectures

Notes for Lecture 1 - Introduction, UNIX Basics (August 31).

Supplementary Notes for Lecture 1 - On-line Help and Unix Tutorials.

Notes for Lecture 2 - Hierarchical File System, Special Characters (September 2).

Notes for Lecture 3 - Redirection, axis, AWK, Introduction to Euler Method (September 7).

Notes for Lecture 4 - Error analysis of Euler Algorithm, Shell Scripts (September 9).

Notes for Lecture 5 - Newton's Laws of Motion, Energy Nonconservation (September 14).

Notes for Lecture 10 - Graphing Velocity Ratio, Root finding (continued) (September 30).

Some remarks about C programming (These are not lecture notes, but you might find them useful.)

Notes for Lecture 12 - Higher Order Algorithms (October 7).

Notes for Lectures 13-16 - Final Project, Introduction to Mathematica (October 12-21).

Notes for Lecture 14 - Random Walks, Biased Estimators (October 14).

Notes for Lecture 15 - Biased Estimators and Jackknife Method I (October 19).

Notes for Lecture 16 - Hist, Application of the Jackknife Method (October 21).

Notes for Lecture 17 - Jackknife Method Via mathematica (October 26).

A few comments about efficiency

Notes for Lecture 18 - Energy Conservation; Logistic Map and Chaos (October 28).

Notes for Lecture 19 - Logistic Map and Chaos (continued) (November 2).

Notes for Lecture 20 - Continuation of Logistic Map and Chaos (November 4).

Notes for Lecture 22 - Project, Numerical Integration in One Dimension (November 11).

Notes for Lecture 23 - Hit or Miss Method, Inverse Transform Method (November 16).

Notes for Lecture 24 - Exponential Distribution, Box-Muller Method (November 18).

Notes for Lecture 25 - Metropolis Method, Autocorrelations (November 23).

Notes for Lecture 26 - Pseudorandom Number Generators, Serial Correlation Tests (November 30).

Notes for Lecture 27 - Fitting Data, Chi-squared distribution (December 2).

Notes for Lecture 28 - More on Chi-squared distribution (December 7).

Notes for Lecture 29 - Non-Linear Fitting (December 9).

Homework Assignments Will Appear Below

Homework Assignment 2 (Due Tuesday, October 1, 2013) .

Homework Assignment 3 (Due Tuesday, October 15, 2013) .

Homework Assignment 4 (Due Tuesday, October 29, 2013) .

Homework Assignment 5 (Due Tuesday, November 14, 2013) .

Homework Assignment 6 (Due Thursday, December 5, 2013) .

Homework Assignments From Spring 2013

The first exercise is due on Wednesday, January 23. It involves awk and axis, if you wish to produce your graph that way. You are welcome to use a different program as long as you can make the plots as requested.

Homework Assignment 1 (Due Wednesday, February 6, 2013) .

Homework Assignment 2 (Due Wednesday, February 20, 2013) .

Homework Assignment 3 (Due Wednesday, February 27, 2013) .

Homework Assignment 4 (Due Wednesday, April 3, 2013) .

Homework Assignment 5 (Due Wednesday, April 17, 2013) .

go to top of page go to lecture notesHomework Assignments From 2012

The first exercise is due on Thursday, January 19. It involves awk and axis which we will discuss on Tuesday.

Homework Assignment 1 (Due Tuesday, February 7, 2012) .

Homework Assignment 2 (Due Tuesday, February 21, 2012) .

Homework Assignment 3 (Due Tuesday, March 20, 2012) .

Homework Assignment 4 (Due Thursday, April 5, 2012) .

Homework Assignment 5 (Due Thursday, April 19, 2012) .

go to top of page go to lecture notesHomework Assignments From 2007

The first exercise is due on Thursday, September 6. It was explained in class.

Homework Assignment 1 (Due Thursday, September 20, 2007) .

Homework Assignment 2 (Due Tuesday, October 2, 2007) .

Homework Assignment 3 (Due Tuesday, October 23, 2007) .

Homework Assignment 4 (Due Thursday, November 8, 2007) .

Homework Assignment 5 (Due Thursday, November 29, 2007) .

Homework Assignments From 2006

The first exercise is due on Thursday, September 7. It was explained in class and can be found at either link. You need to be able to view either PostScript or PDF.

PostScript

Homework Assignment 1 (Due Thursday, September 21, 2006) .

Homework Assignment 2 (Due Thursday, October 5, 2006) .

Homework Assignment 3 (Due Thursday, October 19, 2006) .

Homework Assignment 4 (Due Tuesday, November 7, 2006) .

Homework Assignment 5 (Due Thursday, November 30, 2006) .

Homework Assignments From 2005

The first exercise is due on Thursday, September 8. It was explained in class and can be found at either link. You need to be able to view either PostScript or PDF.

PostScript

Homework Assignment 1 (Due Thursday, September 22, 2005) .

Homework Assignment 2 (Due Tuesday, October 11, 2005) .

Homework Assignment 3 (Due Tuesday, October 25, 2005) .

Homework Assignment 4 (Due Tuesday, November 8, 2005) .

Homework Assignment 5 (Due Thursday, November 17, 2005) .

Homework Assignment 6 (Due Thursday, December 8, 2005) .

Homework Assignments From 2004

The first exercise is due on Tuesday, September 14. It was explained in class and can be found at either link. You need to be able to view either PostScript or PDF.

PostScript

Homework Assignment 1 (Due Tuesday, September 28, 2004) .

Homework Assignment 2 (Due Thursday, October 7, 2004) .

Homework Assignment 3 (Due Thursday, October 21, 2004) .

Homework Assignment 4 (Due Thursday, November 4, 2004) .

Homework Assignment 5 (Due Thursday, November 18, 2004) .

Homework Assignment 6 (Due Thursday, December 2, 2004) .