MATE-2604 Numerical Analysis Theory

Several real-life problems are modeled using algebraic or differential equations. The mathematician who solves these problems should make sure that the solution exists. But in many cases (almost all) is impossible to find such a solution. Precisely the numerical analysis is to find approximations to these solutions. Contents: Interpolation. Numerical integration. Matrix calculation. Vector and matrix norms. Direct Resolution, Linear Systems. Iterative methods. Optimization-based methods. Equations with partial derivatives: finite differences and finite elements.




Echeverry Navarro Luz