**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:

#### An eulerian-lagrangian scheme for the problem of the inverse design of hyperbolic transport equations

The inverse design of hyperbolic transport equations can be addressed by using gradient-adjoint methodologies. Recently, Morales-Hernandez and Zuazua [1] investigated the convenience of using low order numerical schemes for the adjoint resolution in the gradient-adjoint method. They focused on hyperbolic transport scalar equations with an heterogeneous time-independent vector field.

#### Inverse design for the one-dimensional Burgers equation

Our aim is to study an optimal control problem which consists in minimizing the difference between the predictions of the Burgers equation and the observations of the system at a final time in $L^2(\mathbb{R})$ norm.

#### 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.

#### Solving an optimal control problem arisen 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

#### 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.

#### 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

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

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

#### 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

#### Numerical aspects of LTHC of Burgers equation

Numerical approximation of the inverse design problem for the Burgers equation

#### Long time control and the Turnpike property

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

#### Greedy Control

Control of a parameter dependent system in a robust manner