Computational resources and contents related to Dycon project
PDF version | Download Matlab Code… In [3], we develop a WKB analysis for the propagation of the solutions to the following one-dimensional nonlocal Schrödinger…
View More WKB expansion for a fractional Schrödinger equation with applications to controllability
PDF version | Download Openfoam Code… | In this tutorial, we show how to use the C++ library OpenFOAM (Open Field Operation and Manipulation) in…
View More Optimal Control of the Poisson Equation with OpenFOAM
PDF version… | Download Code… 1 Introduction In the post IpOpt and AMPL use to solve time optimal control problems, we explain how to use IpOpt…
View More Control of the semi-discrete 1D heat equation under nonnegative control constraint
PDF version | Download Matlab Code | Download Scilab Code | GITHUB In this work, we address the optimal control of parameter-dependent systems. We introduce…
View More Averaged Control
Manual PDF | Download Code… A Matlab guide for the numerical approximation of the exact control and stabilization of the wave equation This webpage contains…
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PDF version… | Download Code… 1. Numerical experiments Consider the one dimensional linear Vlasov-Fokker-Planck (VPFP) as following. \begin{equation} \begin{cases} \delta\pt_tf + \sigma_1v\delta\pt_x f – \frac{\sigma_2}{\epsilon} \delta\pt_x\phi\delta\pt_v…
View More Greedy algorithm for Parametric Vlasov-Fokker-Planck System
PDF version… | Download Code… Introduction We are interested in optimal control problems subject to a class of diffusion-reaction systems that describes the growth and spread…
View More Solving an optimal control problem arised in ecology with AMPL
Read PDF version | Download Code 1 Introduction We are interested in the numerical discretization of the Kolmogorov equation [12] where $\mu>0$ is a diffusive function…
View More Kolmogorov equation
PDF version… 1. Adjoint estimation: low or high order? Adjoint methods have been systematically associated to the optimal control design [5] and their applications to…
View More 2D inverse design of linear transport equations on unstructured grids
PDF version | Download Code… 1. Problem formulation Let $\Omega\subset \mathbb R^d$ be an open and bounded Lipschitz Domain and consider the parameter dependent parabolic equation…
View More Greedy optimal control for elliptic problems and its application to turnpike problems