Mini-Workshop: Multivariate Orthogonal Polynomials: New synergies with Numerical Analysis
Annie Cuyt
University of Stirling, Stirling, UKJens M. Melenk
Technische Universität Wien, Wien, AustriaStefan A. Sauter
Universität Zürich, Zürich, SwitzerlandYuan Xu
University of Oregon, Eugene, USA
Abstract
Multivariate polynomials and, in particular, multivariate orthogonal polynomials (MOPs) are research areas within the fields of special functions, Lie groups, quantum groups, computer algebra to name only some of them. However, there are many important areas in the field of numerical analysis where multivariate polynomials (of high order) play a crucial role: approximation by spectral methods and finite elements, discrete calculus, polynomial trace liftings, exact sequence properties, sparsity, efficient and stable recursions, analysis of the geometry of the zeros. The miniworkshop brought together experts from the fields of MOPs and numerical analysis of partial differential equations.
Cite this article
Annie Cuyt, Jens M. Melenk, Stefan A. Sauter, Yuan Xu, Mini-Workshop: Multivariate Orthogonal Polynomials: New synergies with Numerical Analysis. Oberwolfach Rep. 20 (2023), no. 3, pp. 2489–2534
DOI 10.4171/OWR/2023/43