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    Numerical Methods and Applications Team 

     

    SSD: MAT/08 (Numerical Analysis) and MAT/09 (Operational research)

    ERC fields: 

    PE - Physical Sciences and Engineering

    LS - Life Sciences

    ERC subfield:

    PE1_21 Application of mathematics in sciences

    The research activity is devoted to the design and analysis of numerical methods, algorithms and software for Scientific Computing.

    The applications of interest include problems in image processing, finance, agrifood and machine learning.

    The research is carried out using the computing environment at DMF which includes:

     

    the high performance Computing System Magic Box 

    and the Scientific Computing Laboratory 

     

    Research topics

    • Preconditioning of large and sparse saddle-point linear systems arising in nonlinear optimization and PDEs;
    • First-order and second-order methods in nonlinear optimization (gradient, proximal gradient, split-Bregman, quasi-Newton, interior point);
    • Inverse problems: iterative regularization methods, numerical methods for problems arising in image processing and finance; 
    • Multivariate approximation: numerical methods and applications;
    • Numerical methods for differential problems and application to the analysis of the evolution of descriptors involved in pattern formation,biological and environmental problems.

     

    The team:

    Gerardo Toraldo (Scientific Coordinator), Professor
    Rosanna Campagna, Associate Professor
    Valentina De Simone, Associate Professor
    Serena Crisci, Assistant Professor (RTDA)

    PHD student:Zubair Ahmad  

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