|Wednesday May 12, 2021 5:00 PM - Wednesday May 12, 2021 6:00 PM | Free
Virtual Lecture and Q&A: From Runge--Kutta methods to B-series
On Wednesday, May 12, 2021, ICERM is pleased to host "From Runge--Kutta methods to B-series", a virtual lecture and Q&A with John Butcher.
In the early days of Runge-Kutta methods, 1895-1901, the numerical order of particular methods was found by working out the Taylor series for the solution of a generic scalar differential equation. By comparing this with the Taylor series for the Runge-Kutta result, the order of the approximation can be found. This approach was highly successful in finding methods up to order 4 but it became more and more complicated until eventually, in the 1950s, methods up to order 6 were found.
It was discovered, about that time, that the theory based on a scalar problem was not adequate, and a vector differential equation system had to be used as the test problem.
The theory, arising from this high-dimensional approach, has now become B-series analysis.
ICERM, Brown University's Math Institute
Online Access Information
Those with confirmed registrations who have provided a valid email address will receive Zoom credentials for joining this lecture the day before the event, as well as a reminder email 1 hour prior to the event.