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New MOX Report on “Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition”

A new MOX Report entitled “Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition” by Brivio, S.; Franco, Nicola R.; Fresca, S.; Manzoni, A. has appeared in the MOX Report Collection. Check it out here: https://www.mate.polimi.it/biblioteca/add/qmox/85-2024.pdf Abstract: POD-DL-ROMs […]

New MOX Report on “On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields”

A new MOX Report entitled “On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields” by Franco, N.R.; Fraulin, D.; Manzoni, A.; Zunino, P. has appeared in the MOX Report Collection. Check it out here: https://www.mate.polimi.it/biblioteca/add/qmox/86-2024.pdf Abstract: Deep Learning is having a remarkable […]

New MOX Report on “Elucidating the cellular determinants of the end-systolic pressure-volume relationship of the heart via computational modelling”

A new MOX Report entitled “Elucidating the cellular determinants of the end-systolic pressure-volume relationship of the heart via computational modelling” by Regazzoni, F.; Poggesi, C.; Ferrantini, C. has appeared in the MOX Report Collection. Check it out here: https://www.mate.polimi.it/biblioteca/add/qmox/88-2024.pdf Abstract: The left ventricular end-systolic pressure-volume relationship (ESPVr) is a key […]

New MOX Report on “Modeling anisotropy and non-stationarity through physics-informed spatial regression”

A new MOX Report entitled “Modeling anisotropy and non-stationarity through physics-informed spatial regression” by Tomasetto, M.; Arnone, E.; Sangalli, L.M. has appeared in the MOX Report Collection. Check it out here: https://www.mate.polimi.it/biblioteca/add/qmox/90-2024.pdf Abstract: Many spatially dependent phenomena, that are of interest in environmental problems, are characterized by strong anisotropy and […]

New MOX Report on “Solving Semi-Linear Elliptic Optimal Control Problems with L1-Cost via Regularization and RAS-Preconditioned Newton Methods”

A new MOX Report entitled “Solving Semi-Linear Elliptic Optimal Control Problems with L1-Cost via Regularization and RAS-Preconditioned Newton Methods” by Ciaramella, G.; Kartmann, M.; Mueller, G. has appeared in the MOX Report Collection. Check it out here: https://www.mate.polimi.it/biblioteca/add/qmox/91-2024.pdf Abstract: We present a new parallel computational framework for the efficient solution […]

New MOX Report on “Deep Learning-based surrogate models for parametrized PDEs: handling geometric variability through graph neural networks”

A new MOX Report entitled “Deep Learning-based surrogate models for parametrized PDEs: handling geometric variability through graph neural networks” by Franco, N.R.; Fresca, S.; Tombari, F.; Manzoni, A. has appeared in the MOX Report Collection. Check it out here: https://www.mate.polimi.it/biblioteca/add/qmox/94-2024.pdf Abstract: Mesh-based simulations play a key role when modeling complex […]

New MOX Report on “VENI, VINDy, VICI – a variational reduced-order modeling framework with uncertainty quantification”

A new MOX Report entitled “VENI, VINDy, VICI – a variational reduced-order modeling framework with uncertainty quantification” by Conti, P.; Kneifl, J.; Manzoni, A.; Frangi, A.; Fehr, J.; Brunton, S.L.; Kutz, J.N. has appeared in the MOX Report Collection. Check it out here: https://www.mate.polimi.it/biblioteca/add/qmox/93-2024.pdf Abstract: The simulation of many complex […]

New MOX Report on “Numerical Solution of linear drift-diffusion and pure drift equations on one-dimensional graphs”

A new MOX Report entitled “Numerical Solution of linear drift-diffusion and pure drift equations on one-dimensional graphs” by Crippa, B.; Scotti, A.; Villa, A has appeared in the MOX Report Collection. Check it out here: https://www.mate.polimi.it/biblioteca/add/qmox/80-2024.pdf Abstract: We propose numerical schemes for the approximate solution of problems defined on the […]

New MOX Report on “Portable, Massively Parallel Implementation of a Material Point Method for Compressible Flows”

A new MOX Report entitled “Portable, Massively Parallel Implementation of a Material Point Method for Compressible Flows” by Baioni, P.J.; Benacchio, T.; Capone, L.; de Falco, C. has appeared in the MOX Report Collection. Check it out here: https://www.mate.polimi.it/biblioteca/add/qmox/79-2024.pdf Abstract: The recent evolution of software and hardware technologies is leading […]