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)

Speakers: Prof. Dr. Nick Trefethen
Affiliation: University of Oxford

[Session 1] Main lecture:  Applications of AAA Rational Approximation

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)

*This is the first session of the FAU MoD lecture by Prof. Trefethen.

You can check this event (complete) at:

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