[Amath-seminars] Trefethen visit and talks on March 6

Randall J LeVeque rjl at uw.edu
Tue Feb 28 10:26:14 PST 2017


A reminder about two talks by Nick Trefethen next Monday March 6.

Also there is a google doc if anyone would like to sign up to meet with him
individually, or to join us for a meal...

https://docs.google.com/document/d/1tyjcuUF_5usbME9k-wlqjyRKWGHUBwKMUt-s6xexXD8/edit?usp=sharing


On Tue, Feb 14, 2017 at 11:33 AM, Randall J LeVeque <rjl at uw.edu> wrote:


>

> Professor Nick Trefethen from Oxford will be visiting Applied Math on

> Monday March 6 and the morning of March 7. I will set up a Google Doc for

> those who want to meet with him individually, but in the meantime please

> note that he will be giving both a Chebfun demo and a seminar talk on March

> 6, see below.

>

> --------------------------------------------------------------------

> Chebfun Demo

> --------------------------------------------------------------------

>

> Speaker: Nick Trefethen, Oxford University

>

> Title: A TOUR OF CHEBFUN, INCLUDING ODEs AND PDEs

>

> Time and Date: 10:30am - 12:00pm on Monday March 6, 2017

>

> Place: Lewis 208 (Wan Conference Room)

>

> Abstract:

>

> Chebfun starts from the idea of continuous analogues of Matlab operations:

> vectors are overloaded to functions and matrices to operators. The result

> is a beautiful tool for all kinds of problems of rootfinding, quadrature,

> optimization, and ODEs. More recently Chebfun has extended much of this

> functionality to 2D and 3D, including disks and spheres and

> reaction-diffusion equations. Please bring your laptop and download the

> software in advance from www.chebfun.org/download/.

>

>

> --------------------------------------------------------------------

> Applied Mathematics Seminar

> --------------------------------------------------------------------

>

> Speaker: Nick Trefethen, Oxford University

>

> Title: Cubature, approximation, and isotropy in the hypercube

>

> Time and Date: 4:30pm on Monday March 6, 2017

>

> Place: Smith 102

>

> Abstract:

>

> The hypercube is the standard domain for computation in higher

> dimensions. We explore two respects in which the anisotropy of this domain

> has practical consequences. The first is the matter of axis-alignment in

> low-rank compression of multivariate functions. Rotating a function by a

> few degrees in two or more dimensions may change its numerical rank

> completely. The second concerns alogrithms based on approximation by

> multivariate polynomials, an idea introduced by James Clerk Maxwell.

> Polynomials defined by the usual notion of total degree are isotropic, but

> in high dimensions, the hypercube is exponentially far from isotropic.

> Instead one should work with polynomials of a given "Euclidean degree".

> The talk will include numerical illustrations, a theorem based on several

> complex variables, and a discussion of "Padua points".

>

>

> --------------------------------------------------------------------------

> Other AMath talks and events:

> http://depts.washington.edu/amath/news/calendars/

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> --------------------------------------------------------------------------

>

>

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