Applied Math Seminar
Applied Math Seminar Time: Mar 22 3:00-4:00pm Room: Weber 223 Speaker: Joseph Jerome, Department of Mathematics, Northwestern University Title: The Approximation of Implicitly Defined Functions: What is the Right Question?
Abstract: In approximation theory, classical results began to appear in the 1930s involving smooth function classes with various metrics, and estimates for the dispersion of these classes from finite dimensional spaces. Notable were the theorems of Achieser/Favard/Krein and Kolmogorov. In the 1950s, the hypercircle inequality appeared, to be followed later by the inf-sup theory for Galerkin approximation, and by Krasnoselskii's estimates for nonlinear approximation. These results will be discussed, together with a possible connection to Newton's method. The pendulum equation will be briefly discussed to serve as a specific reference frame for the ideas. The spherically symmetric version of the atomic Thomas-Fermi model will be used as a benchmark illustration at the conclusion of the talk. Although we are not able to formulate the right question explicitly, we advance the discussion by describing the parameters required to monitor the simultaneous combination of iteration and discretization.
Event Contact: Yongcheng Zhou can be reached at (970) 491-0237
Sponsored by the Department of Mathematics.
|Calendar Name:||All University Events Calendar|
|Start Time:||03:00 PM|
|End Time:||04:00 PM|
|Event Begins On:||Thursday, March 22, 2012|
|Event Ends On:||Thursday, March 22, 2012|
|Submitter's Name:||Yongcheng Zhou|