Gianluigi Rozza

Statistical and Nonlinear Physics · 2005–2022

A researcher in the Science corpus: 23 papers; trusts 93 researchers and is trusted by 57 researchers here, as inferred from the citation graph.

Subfields

• Statistical and Nonlinear Physics — 266 citations into it; #448 of 10,127 by trust here, #609 by citations
• Computational Mechanics — 233 citations into it; #432 of 10,001 by trust here, #485 by citations
• Statistics and Probability — 112 citations into it; #2,371 of 12,932 by trust here, #3,330 by citations
• Numerical Analysis — 91 citations into it; #241 of 3,586 by trust here, #167 by citations
• Mechanics of Materials — 80 citations into it; #699 of 6,291 by trust here, #1,581 by citations
• Artificial Intelligence — 45 citations into it
• Computational Theory and Mathematics — 43 citations into it; #4,543 of 12,182 by trust here, #6,798 by citations
• Electrical and Electronic Engineering — 23 citations into it; #1,220 of 16,539 by trust here, #5,871 by citations

Whom Gianluigi Rozza trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Anthony T. Patera
2. Yvon Maday
3. Karen Veroy
4. Alfio Maria Quarteroni
5. Martin A. Grepl
6. Bijan Mohammadi
7. Ngoc Cuong Nguyen
8. Christophe Prud'Homme
9. Bernard Haasdonk
10. Karl Kunisch

Who trusts Gianluigi Rozza overall

1. Andrea Manzoni
2. Alfio Maria Quarteroni
3. Paolo Pacciarini
4. Jan S. Hesthaven
5. Anthony T. Patera
6. Benjamin Peherstorfer
7. Giovanni Stabile
8. Jens L. Eftang
9. Karen E. Willcox
10. David J. Knezevic

Papers from Gianluigi Rozza's perspective

Ordered by how strongly the researchers Gianluigi Rozza trusts endorse each paper. Same corpus, a different order for every researcher.

1. An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations
2. Balanced Model Reduction via the Proper Orthogonal Decomposition
3. Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds
4. Adam: A Method for Stochastic Optimization (International Conference on Learning Representations)
5. A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations
6. The finite element method for elliptic problems (Classics in applied mathematics)
7. EFFICIENT REDUCED-BASIS TREATMENT OF NONAFFINE AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
8. ImageNet classification with deep convolutional neural networks
9. A subspace approach to balanced truncation for model reduction of nonlinear control systems
10. Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods

Their papers

• On the stability of the reduced basis method for Stokes equations in parametrized domains (2007) — 302 citations
• Reduced Basis Approximation and a Posteriori Error Estimation for Parametrized Parabolic PDEs: Application to Real‐Time Bayesian Parameter Estimation (2010) — 96 citations
• Certified Reduced Basis Methods for Parametrized Partial Differential Equations (2015) — 1,144 citations
• A Successive Constraint Linear Optimization Method for Lower Bounds of Parametric Coercivity and Inf-Sup Stability Constants (2007) — 300 citations
• Reduced Order Methods for Modeling and Computational Reduction (2013) — 416 citations
• Supremizer stabilization of POD–Galerkin approximation of parametrized steady incompressible Navier–Stokes equations (2015) — 289 citations
• Computational Reduction for Parametrized PDEs: Strategies and Applications (2012) — 50 citations
• Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next (2022) — 2,488 citations
• A localized reduced-order modeling approach for PDEs with bifurcating solutions (2018) — 53 citations
• Model Reduction of Parametrized Systems (2017) — 111 citations
• POD-Galerkin reduced order methods for CFD using Finite Volume Discretisation: vortex shedding around a circular cylinder (2017) — 140 citations
• POD-Galerkin method for finite volume approximation of Navier–Stokes and RANS equations (2016) — 164 citations
• RBniCS - reduced order modelling in FEniCS (2015) — 53 citations
• Stabilized reduced basis method for parametrized advection-diffusion PDEs (2014) — 62 citations
• Model Order Reduction in Fluid Dynamics: Challenges and Perspectives (2014) — 291 citations
• Shape optimization for viscous flows by reduced basis methods and free‐form deformation (2012) — 143 citations
• Certified reduced basis approximation for parametrized partial differential equations and applications (2011) — 300 citations
• Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation (2009) — 149 citations
• Reduced basis methods for Stokes equations in domains with non-affine parameter dependence (2009) — 69 citations
• Reduced basis method for linear elasticity problems with many parameters (2008) — 50 citations