FAU MoD Lecture: Applications of AAA Rational Approximation

FAU MoD Lecture: Applications of AAA Rational Approximation

Date: Wed. February 1, 2023
Event: FAU MoD Lecture
Organized by: FAU MoD, Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)

Speaker: Prof. Dr. Nick Trefethen, University of Oxford

This FAU MoD Lecture will have two sessions:

[Session 1] Main lecture (10:30H – 11:30H)
Title: Applications of AAA Rational Approximation
(On-site / online)

Abstract. For the first time, a method has recently become available for fast computation of near-best rational approximations on arbitrary sets in the real line or complex plane: the AAA algorithm (Nakatsukasa-Sete-T. 2018). We will present the algorithm and then demonstrate a number of applications, including
• detection of singularities
• model order reduction
• analytic continuation
• functions of matrices
• nonlinear eigenvalue problems
• interpolation of equispaced data
• smooth extension of multivariate real functions
• extrapolation of ODE and PDE solutions into the complex plane
• solution of Laplace problems
• conformal mapping
• Wiener-Hopf factorization
(joint work with Stefano Costa and others)

[Session 2] A Tour of Chebfun (16:30H – 17:30H)
By Prof. Dr. Nick Trefethen
(On-site)

This session will be a hands-on introduction to Chebfun, and it should be of interest to anyone who uses MATLAB. Chebfun starts from the idea of continuous analogues of Matlab operations: vectors are overloaded to functions and matrices to operators. The result is an appealing tool for all kinds of problems of rootfinding, quadrature, optimization, and ODEs.

If you wish to play along, bring your laptop and download the software in advance from www.chebfun.org or https://github.com/chebfun/chebfun/.

SEE ALL DETAILS AT:

https://mod.fau.eu/events/fau-mod-lecture-applications-of-aaa-rational-approximation/

Others Details

This event will be in hybrid mode (on-site at FAU / online)