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Mathematics

D-Index
37
Citations
6569
World Ranking
2475
National Ranking
79

Overview

Andrea Manzoni is affiliated with the Polytechnic University of Milan in Italy. Their research spans several main fields of study, including Engineering and Physics and Astronomy, with significant contributions in subfields such as Statistical and Nonlinear Physics, Computational Mechanics, Civil and Structural Engineering, Control and Systems Engineering, and Cardiology and Cardiovascular Medicine.

The scientist's work addresses a variety of topics, notably Model Reduction and Neural Networks, Probabilistic and Robust Engineering Design, Numerical methods for differential equations, Structural Health Monitoring Techniques, Fluid Dynamics and Vibration Analysis, Advanced Numerical Methods in Computational Mathematics, and Hydraulic and Pneumatic Systems.

Among recent publications by Andrea Manzoni are the following papers:

  • POD-DL-ROM: enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition, 2021, arXiv (Cornell University)
  • Multi-fidelity regression using artificial neural networks: Efficient approximation of parameter-dependent output quantities, 2021, Computer Methods in Applied Mechanics and Engineering
  • A digital twin framework for civil engineering structures, 2023, Computer Methods in Applied Mechanics and Engineering
  • Deep learning-based reduced order models in cardiac electrophysiology, 2020, PLoS ONE
  • Multi-fidelity surrogate modeling using long short-term memory networks, 2022, Computer Methods in Applied Mechanics and Engineering

Frequent co-authors with Andrea Manzoni include Stefania Fresca, Alfio Quarteroni, Paolo Zunino, Nicola Rares Franco, and Luca Dede'. These collaborations have contributed extensively to the body of work in their research domains.

Andrea Manzoni has published extensively in several venues, with the most frequent being arXiv (Cornell University), Computer Methods in Applied Mechanics and Engineering, PLoS ONE, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, and the Journal of Scientific Computing.

In addition to journal publications, Andrea Manzoni is an author of a book titled Optimal Control of Partial Differential Equations, published in 2021 by Springer Nature, which has received citations within the academic community.

Best Publications

  • Reduced Basis Methods for Partial Differential Equations: An Introduction

    Alfio Maria Quarteroni;Andrea Manzoni;Federico Negri

  • Certified reduced basis approximation for parametrized partial differential equations and applications

    Alfio Quarteroni;Alfio Quarteroni;Gianluigi Rozza;Andrea Manzoni

  • Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations

    Francesco Ballarin;Andrea Manzoni;Alfio Maria Quarteroni;Alfio Maria Quarteroni;Gianluigi Rozza

  • Model Order Reduction in Fluid Dynamics: Challenges and Perspectives

    Toni Mikael Lassila;Andrea Manzoni;Alfio Quarteroni;Gianluigi Rozza

  • The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications *

    Alfio Quarteroni;Andrea Manzoni;Christian Vergara

  • A Comprehensive Deep Learning-Based Approach to Reduced Order Modeling of Nonlinear Time-Dependent Parametrized PDEs

    Stefania Fresca;Luca Dede;Andrea Manzoni

  • POD-DL-ROM: Enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition

    Stefania Fresca;Andrea Manzoni

  • Shape optimization for viscous flows by reduced basis methods and free‐form deformation

    Andrea Manzoni;Alfio Quarteroni;Alfio Quarteroni;Gianluigi Rozza

  • Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants

    Gianluigi Rozza;D. B. Huynh;Andrea Manzoni

  • Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

    Federico Negri;Andrea Manzoni;David Amsallem

  • Reduced basis method for parametrized elliptic optimal control problems

    Federico Negri;Gianluigi Rozza;Andrea Manzoni;Alfio Quarteroni

  • A reduced computational and geometrical framework for inverse problems in hemodynamics

    Toni Mikael Lassila;Andrea Manzoni;Alfio Quarteroni;Alfio Quarteroni;Gianluigi Rozza

  • Model reduction techniques for fast blood flow simulation in parametrized geometries

    Andrea Manzoni;Alfio Quarteroni;Alfio Quarteroni;Gianluigi Rozza

  • Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization

    Francesco Ballarin;Elena Faggiano;Sonia Ippolito;Andrea Manzoni

  • Deep learning-based reduced order models in cardiac electrophysiology.

    Stefania Fresca;Andrea Manzoni;Luca Dedè;Alfio Quarteroni;Alfio Quarteroni

  • Multi-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities

    Mengwu Guo;Andrea Manzoni;Maurice Amendt;Paolo Conti

  • Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations

    Federico Negri;Andrea Manzoni;Gianluigi Rozza

  • Mathematical Modelling of the Human Cardiovascular System: Data, Numerical Approximation, Clinical Applications

    Alfio Quarteroni;Luca Dede;Andrea Manzoni;Christian Vergara

  • Reduced Basis Isogeometric Methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils

    Andrea Manzoni;Filippo Salmoiraghi;Luca Heltai

  • An efficient computational framework for reduced basis approximation and a posteriori error estimation of parametrized Navier–Stokes flows

    Andrea Manzoni

Frequent Co-Authors

Alfio Quarteroni
Alfio Quarteroni Polytechnic University of Milan
Gianluigi Rozza
Gianluigi Rozza International School for Advanced Studies
Catharine M L West
Catharine M L West University of Manchester
Jenny Chang-Claude
Jenny Chang-Claude German Cancer Research Center
Yvon Maday
Yvon Maday Sorbonne University
Rebecca Elliott
Rebecca Elliott University of Manchester
Alison M. Dunning
Alison M. Dunning University of Cambridge
Richard G. Stock
Richard G. Stock Icahn School of Medicine at Mount Sinai
Dirk De Ruysscher
Dirk De Ruysscher Maastricht University

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