Titlebook: Numerical Methods for Optimal Control Problems; Maurizio Falcone,Roberto Ferretti,William M. McEne Book 2018 Springer Nature Switzerland A

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Alessandro Alla,Valeria SimonciniStudy of regular functions on hyperplane and toric arrangements via D-modules- Residue formulae for partition functions and multivariate splines- Wonderful completion of the complement of hyperplane arrangements- Theory and properties of the Tutte polynomial of a matroid and of zonotopesGraduate stu

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Book 2018. Optimal control theory concerns the determination of control strategies for complex dynamical systems, in order to optimize some measure of their performance. Started in the 60‘s under the pressure of the "space race" between the US and the former USSR, the field now has a far wider scope, and emb

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POD-Based Economic Optimal Control of Heat-Convection Phenomena,near rate of convergence. To speed up the PDASS a reduced-order approach based on proper orthogonal decomposition (POD) is applied. An a-posteriori error analysis ensures that the computed (suboptimal) POD solutions are sufficiently accurate. Numerical test illustrates the efficiency of the proposed strategy.

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A Hamilton-Jacobi-Bellman Approach for the Numerical Computation of Probabilistic State Constrainedharacterization of this set is related to the solution of a particular Hamilton-Jacobi-Bellman equation. A semi-Lagrangian numerical scheme is defined and its convergence to the unique viscosity solution of the equation is proved. The validity of the proposed approach is then tested on some numerical examples.

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Fractional PDE Constrained Optimization: Box and Sparse Constrained Problems,hod for the sparse one. Suitable preconditioning strategies by approximate inverses and Generalized Locally Toeplitz sequences are taken into account. The numerical experiments are performed with benchmarked software/libraries enforcing the reproducibility of the results.

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