How To Create Differentiation Matrices

Suppose we have function đť‘“ given on an equidistant grid

and we want to compute the derivative of that function on the same grid. Last week, I have written some …

Oct. 29, 2023

Polynomial Interpolation Made Easy

The Lagrangian way of doing interpolation

Wow, this is my 100th story! As a topic, I have chosen something about one of my favorite mathematicians… or should I say, physicists? I’m talking about Joseph-Louis Lagrange.

It’s …

Oct. 22, 2023

How to Display Objects in Jupyter in Tabular Layout

Jupyter notebooks are a great tool for exploring ideas and for writing scientific or mathematical documents. But there is one thing that annoyed me all the time: there seemed to …

Oct. 15, 2023

Special Relativity Is Not A Law Of Nature

T he laws of nature are the fundamental principles that govern how things work in our universe. But there is one “law” that stands out from the others. In 1905, …

Oct. 8, 2023

Numerical Derivatives Done Right

Recently I have found this article giving a nice first introduction of how to do differentiation numerically. But can you do it with more accuracy and in higher dimensions? Texts …