#### Plenary speakers

##### Valeria Simoncini(Università di Bologna)
• Jon Chapman (University of Oxford)
• Title TBC
• Patrick Dorey (University of Durham)
• Title TBC
• Daan Huybrechs (KU Leuven)
• The benefits and pitfalls of redundancy in the approximation of functions
• Kerstin Jordaan (UNISA)
• Properties of orthogonal polynomials characterized by structural relations
In this talk we consider orthogonal polynomials that are characterized either by a structural relation of type $$\pi(x)SP_n(x)=\sum_{k=-r}^{s}a_{n,n+k}P_{n+k}(x), \label{1}$$where $\pi(x)$ is a polynomial and $S$ is a linear operator that maps a polynomial of precise degree $n$ to a polynomial of degree $n-1$ or by $$\label{2}\Pi(x)TP_n(x)=\sum_{k=-p}^{q}a_{n,n+k}P_{n+k}(x),$$where $\Pi(x)$ is a polynomial and $T$ is a linear operator that maps a polynomial of precise degree $n$ to a polynomial of degree $n-2$. It is understood that $S$ annihilates constants while $T$ annihilates polynomials of degree $1$. When $S=\displaystyle{\tfrac{d}{dx}}$, the structure relation (1) characterizes semiclassical orthogonal polynomials. We discuss properties of certain classes of semiclassical orthogonal polynomials. We characterize Askey-Wilson polynomials and their special or limiting cases as the only monic orthogonal polynomial solutions of (2) when $T=\mathcal{D}_q^2$ where $\mathcal{D}_q$ is the Askey-Wilson divided difference operator and $\Pi(x)$ is a polynomial of degree at most $4$. We use the structure relation (2) to derive bounds for the extreme zeros of Askey-Wilson polynomials.
• Kailash Patidar (UWC)
• Modelling and robust simulations of slow-fast dynamical systems
• Holger Rauhut (RWTH Aachen University)
• Compressive sensing and its use for the numerical solution of parametric PDEs
• Valeria Simoncini (Università di Bologna)
• On the numerical solution of large-scale linear matrix equations

#### Participants list

Participants will be added once registration has opened, which will be in late 2017.
For now we encourage potential participants to pre-register here.