**Enrique Zuazua** is the Director of the Chair of Computational Mathematics at DeustoTech Laboratory in the University of Deusto, Bilbao (Basque Country-Spain) where he leads the research team funded by the European Research Council Advanced Grant “DYCON; Dynamic Control”. He is also a Professor of the Department of Mathematics Universidad Autónoma de Madrid where he holds a Chair in Applied Mathematics since 2001.

#### Author's contribution:

#### Turnpike property for functionals involving $L^1$−norm

We want to study the following optimal control problem...

#### Optimal Control of the Poisson Equation with OpenFOAM

In this tutorial, we show how to use the C++ library OpenFOAM (Open Field Operation and Manipulation) in order to solve control problems for partial differential equations (PDE).

#### WKB expansion for a fractional Schrödinger equation with applications to controllability

Theoretical and numerical analysis of the propagation of the solutions for a Schrödinger equation with fractional Laplacian, with application to the study of controllability properties.

#### Averaged Control

In this work, we address the optimal control of parameter-dependent systems.

#### Control of the semi-discrete 1D heat equation under nonnegative control constraint

Using IpOpt to get the time-optimal nonnegative control of a semi-discrete 1D heat equation

#### Wave Control

A Matlab guide for the numerical approximation of the exact control and stabilization of the wave equation.

#### Greedy algorithm for Parametric Vlasov-Fokker-Planck System

Short report about the greedy algorithm of linear Vlasov-Fokker-Planck equation, including 6 numerical experiments with figures, and corresponding matlab coding and the explanation of how to implement it.

#### Solving an optimal control problem arised in ecology with AMPL

We present a computational tool to solve optimal control problems for diffusion-reaction systems describing the growth and spread of populations

#### Optimal control applied to collective behaviour

Guidance by repulsion model describing the behaviour of two agents, a driver and an evader

#### Kolmogorov equation

Various numerical approximation methods are discussed with the aim of recoving the large time asymptotic properties of the hypoelliptic Kolmogorov model

#### 2D inverse design of linear transport equations on unstructured grids

Various discrete adjoint methodologies are discussed for the inverse design of linear transport equations in 2 space dimensions

#### Greedy optimal control for elliptic problems and its application to turnpike problems

Turnpike theory and greedy algorithms, applied to the steady-state elliptic control problem, are combined to obtain a greedy approximation of parabolic optimal control problems, independent of the initial data

#### IpOpt and AMPL use to solve time optimal control problems

How to use IpOpt to solve time optimal control problems

#### Conservation laws in the presence of shocks

Tracking control of 1D scalar conservation laws in the presence of shocks

#### Long time control and the Turnpike property

The turnpike property improves the numerical methods used to solve optimal control problems

#### Numerical aspects of LTHC of Burgers equation

Numerical approximation of the inverse design problem for the Burgers equation

#### Greedy Control

Control of a parameter dependent system in a robust manner