Solving The Schrodinger Equation Using Chebfun!
My first introduction to scientific computing was working with Jared L. Aurentz. Over the summer of 2014 we worked on developing an algorithm in C, Python, and eventually Matlab to solve the Schrodinger and then calculate the hyperpolerizatbility of with the given potential.
You can read through Jared’s write brief write-up through Oxford’s research group Chebfun website.
I hope to put my significantly longer write up along with all of the code on GitHub soon!
Here’s a plot from Wikipedia of the first five chebyshev polynomials.