Rob Corless, Scientific Director at ORCCA

This page provides links to my papers & other expositions; connective tissue for an internet world

View My GitHub Profile

Maple Transactions

I am the Editor-in-Chief for Maple Transactions , a new open-access scholarly journal. The purpose of Maple Transactions is to disseminate excellent expositions on topics of interest to the Maple community. There are no page charges, and you need not use Maple to be published in this journal.

A draft paper on sequence acceleration for comment.

My current obsession: Bohemian Matrices

The Wikipedia entry on Bohemian Matrices

My new book, with Neil Calkin and Eunice Chan! Open access, and in beta: comments welcome!

Computational Discovery on Jupyter Chapter 4 (or is it Unit 4? With a Jupyter Book the old words for divisions of a book are a bit obsolete) covers Bohemian matrices at an entry level. A density plot in the complex plane of the eigenvalues of a sample of 500,000 seven by seven matrices with entries −1± i. Colour represents the eigenvalue density. The Bohemian Calendar 2022 is out! (Many images produced by the code from the book above) Licensed under CC-by-SA 4.0.

See bohemianmatrices.com for more information about Bohemian matrices.

Research Interests

I have three major overlapping research areas: computational dynamical systems, computational algebra, and computational special functions, each of which is used in scientific and engineering applications. My main overall concern is for the fidelity and reliability of these algorithms in actual applications. The main approach that I use is Computer-Mediated Thinking or Computational Discovery, or Computational Epistemology. That link goes to a paper describing that idea in a teaching context, but it is a much broader idea, namely that the combination of human plus computer, especially equipped with thin slices of Artificial Intelligence, can be better than the human alone.