math

An introduction to collocation methods for differential equations, from the perspective of interpolation theory. I explain how collocation methods are more-or-less identical to interpolation methods, with the only difference being the constraints applied to the problem.

A quick overview of the basics of interpolating a set of function points using a polynomial. This servers as a percursor to a (future) post on collocation methods

If the gradient of velocity is already calculated, how could you get the wall-shear gradient for any arbitrary wall? The aim of this post is to answer that question and give the reasoning for the result.

How to derive the vorticity transport equation using index summation notation.

Review of how to perform cross products and curls in index summation notation. In essence, this ends up being an overview on how to apply the Levi-Civita symbol in these contexts.