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- Istituto di Fotonica e NanotecnologieIT287 papers
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5 papers · 2 filters
Benchmarking stabilized and self-stabilized p-virtual element methods with variable coefficients
Paola Pia Foligno, Daniele Boffi, Fabio Credali +1
Standard Virtual Element Methods (VEM) are based on polynomial projections and require a stabilization term to evaluate the contribution of the non-polynomial component of the disc…
Exploring Exponential Runge-Kutta Methods: A Survey
Alessia andò, Nicolò Cangiotti, Mattia Sensi
In this survey, we provide an in-depth investigation of exponential Runge-Kutta methods for the numerical integration of initial-value problems. These methods offer a valuable synt…
Improving the scalability of a high-order atmospheric dynamics solver based on the deal.II library
Giuseppe Orlando, Tommaso Benacchio, Luca Bonaventura
We present recent advances on the massively parallel performance of a numerical scheme for atmosphere dynamics applications based on the deal.II library. The implicit-explicit disc…
A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases
Paola F. Antonietti, Mattia Corti, Sergio Gómez +1
This work presents a structure-preserving, high-order, unconditionally stable numerical method for approximating the solution to the Fisher-Kolmogorov equation on polytopic meshes,…
Combining physics-based and data-driven models: advancing the frontiers of research with Scientific Machine Learning
Alfio Quarteroni, Paola Gervasio, Francesco Regazzoni
Scientific Machine Learning (SciML) is a recently emerged research field which combines physics-based and data-driven models for the numerical approximation of differential problem…