2.096/6.336/16.910  Introduction to Numerical Simulation

Due Nov 17.

- For problem 1, you need a second initial condition (such as x[-1] or x[1]) to implement the method.  There are many ways you can select a value for this.  Describe and justify your choice in your writeup.  There is no "right" answer here.

There have been a lot of questions about the guideline regarding submitting code in the writeup, so I will attempt to clarify.
Please include in your writeup (in the hard copy you turn in to us) important parts of matlab code you write or modify. 

So what defines "important"?  Changes you make to code we give you are important.  Segments of code used to generate plots are not important.  Use your best judgement.  Anything that shows us how you solved the problem or will help you explain your algorithm is important. 
For example, in Problem 5 of PS4, you do not need to include the entire function newton.m, you simply need to paste in the small portion that you add in order to solve the linear systems. 

It's ok if you exceed the 10 page limit because of code printouts (but try to keep it under 15 pages including code).

Don't worry if you didn't include code in your writeup for PS3, we will not penalize you for that.  But please include it in the future because it makes it easier for us to understand your explanations and to see where things go wrong if there are problems.

Also, please continue to submit all code via stellar in addition.

After grading the most recent problem sets, we would like to remind you of the following:

- Be sure to answer all parts of the questions in your writeup.  Include all plots that are asked for, and make comparisons to Matlab if asked for.  Many people are not including things that are explicitly asked for.

- Include important code in your writeup.  This means anything you write from scratch or any modifications you make to code that we give to you.

- List on the front page of your writeup the names of anybody you collaborated with on that assignment.  This is very important!

- Even if you collaborate with others, you still must write your own code and perform your own analysis for every question.

- List any external references you used to help solve the problems.  For example, if you found an algorithm on a website somewhere that was used to solve one of the problems, please mention this and include a citation.

- If you are stuck on a problem, ask the TAs for help.  Do not leave the question blank, you will just have to redo it later.

Problem Set 4 posted, due Tuesday Nov 3.

- When using damping, you do not need to pick alpha to minimize ||F(xk+alfa*dx)||, you simply need to find an alpha such that ||F(xk+alfa*dx)|| < ||F(xk)||

- For 1c, you can consider functions other than polynomials and exponentials

Problem Set 3 posted, due Tuesday Oct 20.

- Oct 08, Modified problem 2 to eliminate a redundant question.