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LANS Informal Seminar: James Lyness
October 28, 2009 @ 15:00 CDT
Seminar Title: The Area and the Slope; many questions; fewer answers.
Speaker: James Lyness, MCS
Date/Time: 2009-10-28 15:00
Location: 1416, Conference Center, Bldg 240
Description:
This talk is set at a basic level. Differentiation and Integration are
often the earliest and possibly the best understood topics in elementary calculus. So it may come as a surprise to some that serious problems may be encountered in programming Numerical Quadrature and Numerical Differentiation.
Among the topics treated are the performance profile of the automatic
quadrature routine; a software interface problem; round-off error amplification in numerical differentiation; and, at the very end, possibilities for using complex variable analysis.
These lead to generally conceptual problems. The questions which arise can be understood with minimal mathematical sophistication. But a particular answer, if one exists, might be complicated. In this talk we concentrate on the questions.