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- Istituto di Fotonica e NanotecnologieIT287 papers
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13 papers · 2 filters
A coupled mathematical and numerical model for protein spreading and tissue atrophy, applied to Alzheimer's disease
Valentina Pederzoli, Mattia Corti, Davide Riccobelli +1
The aim of this paper is to introduce, analyse and test in practice a new mathematical model describing the interplay between biological tissue atrophy driven by pathogen diffusion…
Tensor-product vertex patch smoothers for biharmonic problems
Julius Witte, Cu Cui, Francesca Bonizzoni +1
We discuss vertex patch smoothers as overlapping domain decomposition methods for fourth order elliptic partial differential equations. We show that they are numerically very effic…
Efficient and scalable atmospheric dynamics simulations using non-conforming meshes
Giuseppe Orlando, Tommaso Benacchio, Luca Bonaventura
We present the massively parallel performance of a -adaptive solver for atmosphere dynamics that allows for non-conforming mesh refinement. The numerical method is based on a Di…
Neural Ordinary Differential Equations for Model Order Reduction of Stiff Systems
Matteo Caldana, Jan S. Hesthaven
Neural Ordinary Differential Equations (ODEs) represent a significant advancement at the intersection of machine learning and dynamical systems, offering a continuous-time analog t…
High-order Discontinuous Galerkin Methods for the Monodomain and Bidomain Models
Federica Botta, Matteo Calafà, Pasquale C. Africa +2
This work aims at presenting a Discontinuous Galerkin (DG) formulation employing a spectral basis for two important models employed in cardiac electrophysiology, namely the monodom…
Two new calibration techniques of lumped-parameter mathematical models for the cardiovascular system
Andrea Tonini, Francesco Regazzoni, Matteo Salvador +7
Cardiocirculatory mathematical models serve as valuable tools for investigating physiological and pathological conditions of the circulatory system. To investigate the clinical con…