🚀 go-pugleaf

           Department of Computer Science, University of Toronto
             (GB = Gailbraith Building, 35 St. George Street)

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                        NUMERICAL ANALYSIS SEMINAR
               GB244, at 3:00 p.m., Friday 23 February 1990

                           Professor J.H. Verner
                            Queen's University

              "On the Derivation of High Order Interpolants"

It is now accepted that interpolatory formulas for Runge-Kutta formula
pairs provide useful complementary information to that provided by the
traditional approximations at discrete points.  The author has developed
unified strategies for deriving various types of explicit methods.  These
strategies have been extended for the construction of appended
interpolatory formulas.  These extensions utilize a matrix representation
of the order information of the basic pair of methods which arises from the
conventional order conditions for methods.  This formulation will be
motivated and explained.  A lower bound on the number of stages required
for interpolants of orders  p>5  will be discussed.  Finally, some curious
relations among the interpolatory coefficients obtained will be displayed
for discussion.