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2024
Piani S, Heltai L, Rotundo N, Lei W, Farrell P. Data-driven solutions of ill-posed inverse problems arising from doping reconstruction in semiconductors. Applied Mathematics in Science and Engineering [Internet]. 2024 ;32:2323626. Available from: https://doi.org/10.1080/27690911.2024.2323626
Caragiulo F, Mastropietro V, Porta M. Edge transport in Haldane-like models with quasi-periodic disorder.; 2024.
Padula G, Romor F, Stabile G, Rozza G. Generative models for the deformation of industrial shapes with linear geometric constraints: Model order and parameter space reductions. . Computer Methods in Applied Mechanics and Engineering [Internet]. 2024 ;423. Available from: https://www.sciencedirect.com/science/article/abs/pii/S0045782524000793
Marchello R, Colombi A, Preziosi L, Giverso C. A non local model for cell migration in response to mechanical stimuli. Mathematical Biosciences [Internet]. 2024 ;368:109124. Available from: https://linkinghub.elsevier.com/retrieve/pii/S0025556423001645
Prusak I, Torlo D, Nonino M, Rozza G. Optimisation–Based Coupling of Finite Element Model and Reduced Order Model for Computational Fluid Dynamics.; 2024.
Prusak I, Torlo D, Nonino M, Rozza G. An optimisation–based domain–decomposition reduced order model for parameter–dependent non–stationary fluid dynamics problems. Computers & Mathematics with Applications [Internet]. 2024 ;166:253-268. Available from: https://www.sciencedirect.com/science/article/pii/S0898122124002098
Berti M, Feola R, Procesi M, Terracina S. Reducibility of Klein-Gordon equations with maximal order perturbations. [Internet]. 2024 . Available from: https://arxiv.org/abs/2402.11377
Prusak I, Torlo D, Nonino M, Rozza G. A time-adaptive algorithm for pressure dominated flows: a heuristic estimator. [Internet]. 2024 . Available from: https://arxiv.org/abs/2407.00428
2023
Berti M, Feola R, Pusateri F. Birkhoff normal form and long time existence for periodic gravity water waves. Comm. Pure Appl. Math. [Internet]. 2023 ;76:1416–1494. Available from: https://doi.org/10.1002/cpa.22041
Arndt D, Bangerth W, Bergbauer M, Feder M, Fehling M, Heinz J, Heister T, Heltai L, Kronbichler M, Maier M, et al. The deal.II Library, Version 9.5. Journal of Numerical Mathematics [Internet]. 2023 ;31:231–246. Available from: https://doi.org/10.1515/jnma-2023-0089
Bigoni D, Dal Corso F, Kirillov ON, Misseroni D, Noselli G, Piccolroaz A. Flutter instability in solids and structures, with a view on biomechanics and metamaterials. Proceedings of the Royal Society A [Internet]. 2023 ;479:20230523. Available from: https://royalsocietypublishing.org/doi/10.1098/rspa.2023.0523
Prusak I, Nonino M, Torlo D, Ballarin F, Rozza G. An optimisation–based domain–decomposition reduced order model for the incompressible Navier-Stokes equations. [Internet]. 2023 ;151:172 - 189. Available from: https://www.sciencedirect.com/science/article/pii/S0898122123004248
2022
Arndt D, Bangerth W, Feder M, Fehling M, Gassmöller R, Heister T, Heltai L, Kronbichler M, Maier M, Munch P, et al. The deal.II library, Version 9.4. Journal of Numerical Mathematics [Internet]. 2022 ;30:231–246. Available from: https://doi.org/10.1515/jnma-2022-0054
Pichi F, Strazzullo M, Ballarin F, Rozza G. Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier–Stokes equations with model order reduction. ESAIM: M2AN [Internet]. 2022 ;56(4):1361 - 1400. Available from: https://doi.org/10.1051/m2an/2022044
Andrini D, Balbi V, Bevilacqua G, Lucci G, Pozzi G, Riccobelli D. Mathematical modelling of axonal cortex contractility. Brain Multiphysics. 2022 ;2.
Peschka D, Heltai L. Model hierarchies and higher-order discretisation of time-dependent thin-film free boundary problems with dynamic contact angle. Journal of Computational Physics. 2022 ;464:111325.
Khamlich M, Pichi F, Rozza G. Model order reduction for bifurcating phenomena in fluid-structure interaction problems. International Journal for Numerical Methods in FluidsInternational Journal for Numerical Methods in FluidsInt J Numer Meth Fluids [Internet]. 2022 ;n/a(n/a). Available from: https://doi.org/10.1002/fld.5118
Papapicco D, Demo N, Girfoglio M, Stabile G, Rozza G. The Neural Network shifted-proper orthogonal decomposition: A machine learning approach for non-linear reduction of hyperbolic equations. Computer Methods in Applied Mechanics and Engineering [Internet]. 2022 ;392. Available from: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85124488633&doi=10.1016%2fj.cma.2022.114687&partnerID=40&md5=12f82dcaba04c4a7c44f8e5b20101997
Arndt D, Feder WBangerth M, Fehling M, Gassmöller R, Heister T, Heltai L, Kronbichler M, Maier M, Munch P, Pelteret J-P, et al. The \textttdeal.II Library, Version 9.4. Journal of Numerical Mathematics. 2022 .
Peschka D, Zafferi A, Heltai L, Thomas M. Variational Approach to Fluid–Structure Interaction via GENERIC. Journal of Non-Equilibrium Thermodynamics. 2022 .
2021
Pichi F, Ballarin F, Rozza G, Hesthaven JS. An artificial neural network approach to bifurcating phenomena in computational fluid dynamics. 2021 .
Berti M, Feola R, Pusateri F. Birkhoff normal form for gravity water waves. Water Waves [Internet]. 2021 ;3:117–126. Available from: https://doi.org/10.1007/s42286-020-00024-y
Arndt D, Bangerth W, Blais B, Fehling M, Gassmöller R, Heister T, Heltai L, Köcher U, Kronbichler M, Maier M, et al. The deal.II Library, Version 9.3. Journal of Numerical Mathematics [Internet]. 2021 . Available from: https://doi.org/10.1515/jnma-2021-0081
Arndt D, Bangerth W, Blais B, Fehling M, Gassmöller R, Heister T, Heltai L, Köcher U, Kronbichler M, Maier M, et al. The deal.II Library, Version 9.3. Journal of Numerical Mathematics [Internet]. 2021 . Available from: https://doi.org/10.1515/jnma-2021-0081
Pintore M, Pichi F, Hess MW, Rozza G, Canuto C. Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method. Advances in Computational Mathematics. 2021 ;47.

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