While scanning through some papers about the Runge-Kutta method, I stumbled upon a 1993 paper entitled “The search for the Holy Grail, Or: Predictor-corrector methods for solving ODEIVPs,” written by Kevin Burrage, a professor of Computational Mathematics at the University of Queensland in Australia.  Sure, it’s pushing 15 years old now, but with a title […]

In class, we’re just starting to delve into the world of floating-point. Professor James joked in lecture this week that “the ideal way to do this would be to spend the first two weeks explaining the details of floating point … but then we’d probably scare you all so much that you’d drop the class.” […]