21st Century COE Lectures
Date : 
May 17 (The) 15:00  16:00

Place : 
Room 115, RIMS

Lecturer: 
John Butcher
(University of Auckland)

Title : 
RungeKutta methods for ordinary differential equations

Abstract: 
RungeKutta methods are widely used in modern computation. This survey
will include a discussion of their order conditions and attempts to
construct methods which satisfy these conditions. An outline proof will
be given of the main order barrier (fifth order methods require more than
5 stages) and related results will be summarised. This will lead to a the
idea of effective order as a means of avoiding some of the consequences of
this barrier. For the solution of stiff problems, the use of implicit
methods is preferred and some of the important families of implicit
RungeKutta methods will be introduced.

