Rob Corless

Caveat

The old Applied Math server has died; this page was migrated from there. Most links work, but some do not; I apologise if you trip on a dead link.

Research Interests

My Google Scholar profile

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. The applications I and others have used my work for include flow-induced vibration of artificial structures, financial options, cardiac simulations, and the kinetics of dark adaptation in the human eye. My main overall concern is for the fidelity and reliability of algorithms for such applications. Of course, everyone wants to solve problems quickly, but no-one wants this at the expense of unreliable predictions. The main approach that I have used in my work, both in research and in teaching, is something that I call Computer-Mediated Thinking , or Computational Discovery, or Computational Epistemology. 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. Obviously this might be true, but making sure that it is true is harder, and more important, than it looks.

My YouTube Channel

My channel includes some talks, and some course videos. I'm still learning, but making the videos is quite fun! There will be more.

Slides from my talk on the Gamma function (right-click and "save as" Maple classic worksheet)

ORCCA

My research group

My students

Curriculum Vitae as of April 2019

Publication, research, employment and education information

Algorithms and Complexity in Mathematics, Epistemology and Science An edited volume containing papers from the Computational Discovery/Computational Epistemology conferences

The code repository for "A Graduate Introduction to Numerical Methods, From the Viewpoint of Backward Error Analysis"

Nic Fillion and I are pleased to recall the 2013 publication of a graduate textbook, “A Graduate Introduction to Numerical Methods, From the Viewpoint of Backward Error Analysis”. Here are some excerpts from reviews of the book

Teaching

My Teaching Philosophy (2019)

Course Links (Mostly broken pages, sorry---supplanted by OWL these days)

Department of Applied Mathematics University of Western Ontario

My department

Other Stuff

Amusements, some with mathematics and some without

Old Web Page

My creaky, old, and antiquated previous web page; original design 1995---lots of stuff still there, which will eventually move here. For the new one, thanks go to Ben Johnson, who designed Samantha Brennan's page, who herself let me "borrow" the design.

Reciprocal roots of Mandelbrot polynomial of degree 2047 on the Riemann sphere

Rob Corless's address is Middlesex College Room 272 at the University of Western Ontario in London, ON. The postal code is N6A 5B7, and he can be reached by phone at (519) 661-2111 x88785. His e-mail address is his first initial followed by his last name (no spaces or periods) at uwo.ca .