Prof. Luca Bonaventura

Argomenti del programma: 1) Introduction to basic concepts of numerical analysis and scientific computing. 2) Floating point representation of real numbers: Machine accuracy, cancellation of significant digits. 3) Random number generation, simulation of discrete and continuous random variables. 4) Polynomial interpolation: Existence and unicity of the interpolating polynomial. Bounds on the approximation error.

Argomenti del programma: 1) Introduction to basic concepts of numerical analysis and scientific computing. 2) Floating point representation of real numbers: machine accuracy, cancellation of significant digits. 3) Finite difference approximation of first derivatives. Approximation of second and higher order derivatives. 4) Polynomial interpolation: Existence and unicity of the interpolating polynomial. Bounds on the approximation error.