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Piano di Ricerca

1. Approximation theory:

• Kernel-based methods and machine learning (De Marchi, Perracchione)

• Formal orthogonal polynomials (Cipolla, Redivo Zaglia)

• Multivariate polynomial approximation (De Marchi, Erb, Piazzon,Sommariva, Vianello)

• Multivariate polynomial optimization (Piazzon, Sommariva, Vianello)

• Numerical extrapolation and acceleration (Cipolla, Redivo Zaglia)

• Numerical quadrature (Cipolla, Redivo Zaglia)

• Numerical cubature (Sommariva, Vianello)

• Pade’ approximants (Redivo Zaglia) 2. Linear algebra

• Computational inverse problems (Marcuzzi)

• Numerical solution of linear systems (Cipolla, Redivo Zaglia) 3. Mathematical imaging

• Mathematical imaging in Applied Sciences (De Marchi) 4. Partial Differential Equations:

• Computational fluid-dynamics (Bachini, Facca, Putti)

• Finite elements and volumes (Bachini, Facca, Putti)

• Meshless methods (De Marchi, Perracchione)

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