Peer reviewed publications ↓

A. Alla, A. Monti, I. Sgura,

Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems

accepted for Journal of Numerical Mathematics, 2022

Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems

accepted for Journal of Numerical Mathematics, 2022

A. Alla, D. Kalise, V. Simoncini,

State-dependent Riccati equation feedback stabilization for nonlinear PDEs

accepted for Advances in Computational Mathematics, 2022

State-dependent Riccati equation feedback stabilization for nonlinear PDEs

accepted for Advances in Computational Mathematics, 2022

L. Saluzzi, A. Alla, M. Falcone

Error estimates for a tree structure algorithm solving finite horizon control problems

Accepted for ESAIM:COCV, 2022.

Error estimates for a tree structure algorithm solving finite horizon control problems

Accepted for ESAIM:COCV, 2022.

A. Alla, M. Falcone, L. Saluzzi.

A tree structure algorithm for optimal control with state constraints

Rendiconti di Matematica e delle sue Applicazioni, 41, 2020, 193-221.

A tree structure algorithm for optimal control with state constraints

Rendiconti di Matematica e delle sue Applicazioni, 41, 2020, 193-221.

A. Alla, C.Balzotti, M. Briani, E. Cristiani

Understanding Mass Transfer Directions via Data-Driven Models with Application to Mobile Phone Data

SIAM J. Appl. Dyn. Syst., 19, 2020, 1372–1391.

Understanding 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. Schmidt

Feedback control of parametrized PDEs via model order reduction and dynamic programming principle

Advances in Computational Mathematics, 46, 2020

Feedback control of parametrized PDEs via model order reduction and dynamic programming principle

Advances in Computational Mathematics, 46, 2020

A. Alla, L. Saluzzi

A HJB-POD approach for the control of nonlinear PDEs on a tree structure

Applied Numerical Mathematics, 155, 2020, 192-207.

A HJB-POD approach for the control of nonlinear PDEs on a tree structure

Applied Numerical Mathematics, 155, 2020, 192-207.

A. Alla, M. Falcone, L. Saluzzi

An efficient DP algorithm on a tree-structure for finite horizon optimal control problems

SIAM J. Sci. Comput., 41, A2384–A2406.

An efficient DP algorithm on a tree-structure for finite horizon optimal control problems

SIAM J. Sci. Comput., 41, A2384–A2406.

M. Hess, A. Alla, A. Quaini, G. Rozza, M. Gunzburger

A localized reduced-order modeling approach for PDEs with bifurcating solutions

Computer Methods in Applied Mechanics and Engineering, 311, 2019, 379-403.

A 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. Kutz

Data-driven identification of parametric partial differential equations

SIAM J. Appl. Dyn. Syst. 18, 2019, 643–660.

Data-driven identification of parametric partial differential equations

SIAM J. Appl. Dyn. Syst. 18, 2019, 643–660.

A. Alla, J.N. Kutz

Randomized model order reduction

Advances in Computational Mathematics, 45, 2019, 1251-1271

Randomized model order reduction

Advances in Computational Mathematics, 45, 2019, 1251-1271

A. Alla, M. Hinze, P. Kolvenbach, O. Lass, S. Ulbrich

A Certified Model Reduction Approach for Robust Parameter Optimization with PDE Constraints

Advances in Computational Mathematics, 45, 2019, 1221-1250

A Certified Model Reduction Approach for Robust Parameter Optimization with PDE Constraints

Advances in Computational Mathematics, 45, 2019, 1221-1250

A. Alla, C. Graessle, M. Hinze

A-posteriori snapshot location for POD in optimal control of linear parabolic equations

ESAIM:M2AN, 52, 2018, 1847-1873

A-posteriori snapshot location for POD in optimal control of linear parabolic equations

ESAIM:M2AN, 52, 2018, 1847-1873

A. Alla, M. Falcone, S. Volkwein

Error analysis for POD approximations of infinite horizon problems via the dynamic programming principle

SIAM J. Control Optim., 55, 2017, 3091-3115

Error analysis for POD approximations of infinite horizon problems via the dynamic programming principle

SIAM J. Control Optim., 55, 2017, 3091-3115

A. Alla, J. Nathan Kutz

Nonlinear model order reduction via Dynamic Mode Decomposition

SIAM J. Sci. Comput., 39, 2017, 778-796

Nonlinear model order reduction via Dynamic Mode Decomposition

SIAM J. Sci. Comput., 39, 2017, 778-796

A. Alla, M. Falcone, D. Kalise

A HJB-POD feedback synthesis approach for wave equation

Bulletin of the Brazilian Mathematical Society, _blank Series, 2016, 47, 51-64

A HJB-POD feedback synthesis approach for wave equation

Bulletin of the Brazilian Mathematical Society, _blank Series, 2016, 47, 51-64

A. Alla, M. Falcone, D. Kalise

An efficient Policy Iteration algorithm for dynamic programming equations

SIAM J. Sci. Comput., 37, 2015, 181-200

An efficient Policy Iteration algorithm for dynamic programming equations

SIAM J. Sci. Comput., 37, 2015, 181-200

A. Alla, S. Volkwein

Asymptotic stability and suboptimality of Model Predictive Control for semilinear PDEs

in Advances in Computational Mathematics, 41, 2015, 1073-1102

Asymptotic stability and suboptimality of Model Predictive Control for semilinear PDEs

in Advances in Computational Mathematics, 41, 2015, 1073-1102