Numerical Analysis 2

The Numerical Analysis 2 module aims to deepen the understanding of fundamental numerical methods used to solve complex mathematical problems encountered in science and engineering. This module focuses on three main areas:

• Interpolation and Approximation: constructing approximating functions from discrete data using polynomials, least squares, and splines.
• Numerical Differentiation and Integration: estimating derivatives and integrals using discrete methods, with a rigorous analysis of the associated errors.
• Numerical Solution of Ordinary Differential Equations (ODEs): studying and implementing Euler, Heun, and Runge-Kutta methods to simulate the evolution of dynamic systems.