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.
We want to study the following optimal control problem...
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).
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.
In this work, we address the optimal control of parameter-dependent systems.
Using IpOpt to get the time-optimal nonnegative control of a semi-discrete 1D heat equation
A Matlab guide for the numerical approximation of the exact control and stabilization of the wave equation.
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.
We present a computational tool to solve optimal control problems for diffusion-reaction systems describing the growth and spread of populations
Guidance by repulsion model describing the behaviour of two agents, a driver and an evader
Various numerical approximation methods are discussed with the aim of recoving the large time asymptotic properties of the hypoelliptic Kolmogorov model
Various discrete adjoint methodologies are discussed for the inverse design of linear transport equations in 2 space dimensions
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
How to use IpOpt to solve time optimal control problems
Tracking control of 1D scalar conservation laws in the presence of shocks
The turnpike property improves the numerical methods used to solve optimal control problems
Numerical approximation of the inverse design problem for the Burgers equation
Control of a parameter dependent system in a robust manner