# 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 profileI 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 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) ORCCAOne of my research groups

My studentsCurriculum Vitae as of November 2020

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)### Some of my current homes:

- David R. Cheriton School of Computer Science, U. Waterloo
- School of Mathematical and Statistical Sciences, Western
- The Rotman Institute of Philosophy, Western
- Western University, aka the University of Western Ontario

Amusements, some with mathematics and some without

Old Web PageMy 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.

Rob Corless's address is **The Rotman Institute of Philosophy** at the
**University of Western Ontario** in **London, ON**. His e-mail address
is his first initial followed by his last name (no spaces or periods) at uwo.ca .