The computational model in numerical mathematics. Numerical stability and robustness, error analysis. Approximation theory. Numerical algebra. Solving large systems of linear equations. Finding roots of nonlinear equations. Numerical differentiation and integration. Optimization - formulation challenges the foundations of convex analysis, numerical methods used to find minima - Gradient methods. Finite Difference Method and Finite Element Method. Introduction to numerical solution of equations diferencálnych. Libraries of numerical methods and work with them.
Type of methodology: Combination of lecture and hands-on
Participants receive the certificate of attendance: Yes
Paid training activity for participants: Yes, for all
Participants prerequisite knowledge: Numerical methods (linear algebra, statistics) Domain-specific background knowledge