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Scientific Computing and Data Science Seminar

September 24, 2019 - 3:00pm

Speaker: John Butcher (University of Auckland)

Title: Order of multivalue-multistage methods

Description: A “general linear method” is an s-stage, r-value method characterised by a partitioned (s + r) × (s + r) matrix. This includes the classical linear multistep and Runge–Kutta methods and it has been natural to base error analysis and asymptotic order on these well-studied models.

This talk will review the established approaches to defining and analysing the order of general linear methods, with emphasis on B-series analysis, based on an arbitrary starting method. It will be shown that this can be rewritten in terms of two simple algorithms in which the actual starting method is eliminated from the calculations.


ACS 362C