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Center for Nonlinear Studies |
CNLS Ulam Scholar Carl Bender to present a two-part lecture series entitled "How to sum a series." Bender, the co-author of the well-known book "Advanced Mathematical Methods for Scientists and Engineers," is the 2006/2007 Ulam Scholar at the Center for Nonlinear Studies and is a world expert in mathematical physics. His lectures are noted for exceptional clarity with the proper share of education and humor present throughout. The lectures will be given at 1:30 in the CNLS Conference Room on Tuesday January 30 and Thursday February 1. Bender remarks that the lectures will provide lesser-known techniques and tricks that should be very useful in practical applications such as numerical simulation.
Usually, the worst strategy for evaluating a convergent series is to add up the terms in the series directly. It is much more efficient to accelerate the convergence of the series using powerful asymptotic methods, such as Shanks transformation and Richardson extrapolation. Illustrative examples will be presented.