NUMERICAL ANALYSIS
Sectors
- SSD: Mat/08
- ERC: PE1_10 - ODE and dynamical systems, PE1_17 - Numerical analysis, PE1_18 - Scientific computing and data processing, PE1_20 - Application of mathematics in sciences, PE6_11 - Machine learning, statistical data processing and applications using signal processing
Research Topics
- Numerical methods for conservation and balance laws.
- Mathematical modelling of problems in biomedicine, socio-economics and technology.
- Models for interacting populations, possibly with age structure.
- Mathematical epidemiology models.
- Eco-epidemiology models (spread of epidemics among interacting populations).
- Meta-ecoepidemic models.
- Models for biological control in agriculture.
- Univariate and multivariate spline approximation.
- Numerical methods for CAGD (Computer Aided Geometric Design).
- Spline numerical integration.
- Numerical methods for the solution of differential and integral problems based on spline approximation.
- New function spaces and weighted polynomial approximation for functions having singularities.
- Nonclassical orthogonal polynomials and their application to approximation of functions and integrals.
- Numerical methods for Fredholm, Volterra and singular integral equations.
- Kernel-based interpolation and classification.
- Partition of unity approximation methods and algorithms.
- Adaptive collocation methods for PDEs.
- Artificial intelligence and machine learning algorithms.
- Traffic models for sustainable mobility.
- Development of software in Matlab/Python.
- Image reconstruction and applications.