edith@ai.toronto.edu (Edith Fraser) (02/09/90)
Department of Computer Science, University of Toronto (GB = Gailbraith Building, 35 St. George Street) ------------------------------------------------------------- NUMERICAL ANALYSIS SEMINAR GB220, at 3:00 p.m., Tuesday 20 February 1990 Dr. Kevin Burrage University of Auckland "Parallel methods for IVPs in a transputer environment" The Centre for Mathematical Software Research at the University of Liverpool, in conjunction with NAG, is developing a library of scientific software designed to run in a transputer environment. In this talk I will discuss the work being done for ordinary differential equations. I will begin with a brief introduction to transputers and the configurations that are suitable for IVP packages. Then I will discuss the difficulties that must be overcome to ensure the transputers are used efficiently. Following this, I will discuss some properties of the large class of parallel methods that can be placed in the general framework of block multivalue methods. In particular, I will present a rigorous analysis of the local error of these methods, and apply the theory to predictor- corrector methods for non-stiff problems. Finally, I will discuss the question of whether massive parallelism across a method is a realistic goal for the block multivalue methods.