Mini-Workshop: Multivariate Orthogonal Polynomials: New synergies with Numerical Analysis

  • Annie Cuyt

    University of Stirling, Stirling, UK
  • Jens M. Melenk

    Technische Universität Wien, Wien, Austria
  • Stefan A. Sauter

    Universität Zürich, Zürich, Switzerland
  • Yuan 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