Numerical Analysis

The group members are: Sebastiano Boscarino, Armando Coco, Rosa Maria Pidatella, and Giovanni Russo, their research deals with computational investigation of many types of equations, Runge-Kutta methods, and shadowy techniques.

Numerical methods for hyperbolic PDE: computational fluiddynamics, conservation laws and kinetic equations, stiff problems, hyperbolic problems connected with source terms, finte volume and finite differences methods. Sebastiano Boscarino, Rosa Maria Pidatella, Giovanni Russo.

Runge-Kutta methods of IMEX type: Sebastiano Boscarino, Giovanni Russo

Operational and umbral methods for families of orthogonal polynomials and special functions: applications to umbral calculus to Hermite polynomials, Laguerre polynomials, Voigt functions, and Mittag-Leffler function. Rosa Maria Pidatella

Numerical methods for elliptic and parabolic PDEs: incompressible fluid dynamics, linear elasticity. Numerical Linear Algebra, multigrid methods for complex-shaped domains, ghost-points techniques for unfitted boundary methods, level-set methods for the evolution of interfaces. Armando Coco, Giovanni Russo.