Distinguished Lecture: Nick Trefethen, September 20

Nick Trefethen will give a CCAM Distinguished Lecture on September 20, 3:45pm in Stanley Coulter Hall, Room 239.

>>> Link to photos from the joint CCAM/SIAM Student Chapter lunch. <<<

Title:  The AAA Algorithm for Rational Approximation

Abstract:  With the introduction of the AAA algorithm in 2018 (Nakatsukasa-Sete-T., SISC), the computation of rational approximations changed from a hard problem to an easy one. We've been exploring the implications of this transformation ever since.  This talk will review the algorithm and then present about 15 demonstrations of applications in various areas including interpolation of missing data, analytic continuation, analysis of solutions of dynamical systems, Wiener-Hopf and Riemann-Hilbert problems, function extension, model order reduction, conformal mapping and Laplace, Stokes, and Helmholtz calculations.

Bio:  Nick Trefethen is Professor of Applied Mathematics in Residence at Harvard University; during 1997-2023 he was Professor of Numerical Analysis and head of the Numerical Analysis Group at the University of Oxford. He is a Fellow of the Royal Society, a member of the US National Academy of Engineering and served during 2011-2012 as President of SIAM. He has won many prizes including the Gold Medal of the IMA, the Naylor Prize of the London Mathematical Society, and the Polya and von Neumann Prizes from SIAM.