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:

Stochastic optimization for simultaneous control
Simultaneous control of parameter-depending systems using stochastic optimization algorithms

Synchronized Oscillators
Synchronization of coupled oscillators with the Random Batch Method

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 L2(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 L1−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