Various Consequences

About 6 months ago Dan Hughes sent me a link to an interesting paper on "chaotic" behavior in the trajectory of iterates in a num...

Background and Motivation The problem I am interested in: leverage high-level symbol manipulation capabilities in a computer algebra sys...

I've been posting lately on solving Burgers' equation on moving grids , but haven't said much about difficulties involved in pro...

In the last post on solving Burgers' equation on a moving grid we ended up with the semi-discrete equation for the rates: where the spa...

Now that I've got a nice handy spectral derivative routine , time to test it out on some practical problems (ie non-smooth). A useful sc...

This is a follow up to the post I wrote a while back about implementing numerical methods . The goal is to demonstrate a work-flow using too...

There are some good examples floating around of creating customized image processing kernels in the python imaging library (PIL). It'...

I just wanted to put in another plug for Maxima , the open source computer algebra system that I use regularly. The great thing about using...

What would an integrated development environment for numerical algorithms look like? To me it looks a lot like Fedora . That’s right, Fedora...

We can use the results from the previous post about complex step finite differences to solve the 2D Laplace's equation. Instead of sol...

My favorite computer algebra system has a new wiki, from the Maxima mailing list (with slight edits to make the links work): I've set u...

Finite differences are cool, but you are limited by subtractive cancellation ( section 3.4: subtractive cancellation exercises ). What if y...

Maxima is great. In the magnetron post we integrated the differential equation describing an electron's motion in a couple of differe...