Peer reviewed publications ↓
A. Alla, A. Monti, I. Sgura, Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systemsJournal of Numerical Mathematics, 2023
A. Alla, D. Kalise, V. Simoncini, State-dependent Riccati equation feedback stabilization for nonlinear PDEsAdvances in Computational Mathematics, 2023
L. Saluzzi, A. Alla, M. FalconeError estimates for a tree structure algorithm solving finite horizon control problemsESAIM:COCV, 28 2022.
A. Alla, C. Graessle, M. HinzeTime adaptivity in MPC Journal of Scientific Computing, 90, 2022.
A. Alla, M. Falcone, L. Saluzzi.A tree structure algorithm for optimal control with state constraintsRendiconti di Matematica e delle sue Applicazioni, 41, 2020, 193-221.
A. Alla, C.Balzotti, M. Briani, E. CristianiUnderstanding Mass Transfer Directions via Data-Driven Models with Application to Mobile Phone Data
SIAM J. Appl. Dyn. Syst., 19, 2020, 1372–1391.
A. Alla, B. Haasdonk, A. SchmidtFeedback control of parametrized PDEs via model order reduction and dynamic programming principleAdvances in Computational Mathematics, 46, 2020
A. Alla, L. Saluzzi A HJB-POD approach for the control of nonlinear PDEs on a tree structureApplied Numerical Mathematics, 155, 2020, 192-207.
A. Alla, M. Falcone, L. SaluzziAn efficient DP algorithm on a tree-structure for finite horizon optimal control problemsSIAM J. Sci. Comput., 41, A2384–A2406.
M. Hess, A. Alla, A. Quaini, G. Rozza, M. GunzburgerA localized reduced-order modeling approach for PDEs with bifurcating solutions Computer Methods in Applied Mechanics and Engineering, 311, 2019, 379-403.
S. Rudy, A. Alla, S. Brunton, J.N. KutzData-driven identification of parametric partial differential equations SIAM J. Appl. Dyn. Syst. 18, 2019, 643–660.
A. Alla, J.N. KutzRandomized model order reductionAdvances in Computational Mathematics, 45, 2019, 1251-1271
A. Alla, M. Hinze, P. Kolvenbach, O. Lass, S. UlbrichA Certified Model Reduction Approach for Robust Parameter Optimization with PDE ConstraintsAdvances in Computational Mathematics, 45, 2019, 1221-1250
A. Alla, C. Graessle, M. HinzeA-posteriori snapshot location for POD in optimal control of linear parabolic equationsESAIM:M2AN, 52, 2018, 1847-1873
A. Alla, M. Falcone, S. VolkweinError analysis for POD approximations of infinite horizon problems via the dynamic programming principleSIAM J. Control Optim., 55, 2017, 3091-3115
A. Alla, J. Nathan KutzNonlinear model order reduction via Dynamic Mode DecompositionSIAM J. Sci. Comput., 39, 2017, 778-796
A. Alla, M. Falcone, D. KaliseA HJB-POD feedback synthesis approach for wave equationBulletin of the Brazilian Mathematical Society, _blank Series, 2016, 47, 51-64
A. Alla, M. Falcone, D. KaliseAn efficient Policy Iteration algorithm for dynamic programming equationsSIAM J. Sci. Comput., 37, 2015, 181-200
A. Alla, S. VolkweinAsymptotic stability and suboptimality of Model Predictive Control for semilinear PDEsin Advances in Computational Mathematics, 41, 2015, 1073-1102