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From: edith@ai.toronto.edu (Edith Fraser)
Subject: Dr. Kevin Burrage, Tuesday 20 February 1990: NUMERICAL ANALYSIS SEMINA
Message-ID: <90Feb9.101350est.6634@neat.cs.toronto.edu>
Date: 9 Feb 90 15:14:39 GMT
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           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.