Based on a mathematical model, simulate technical and scientific processes. The course addresses how to structure the problem, rewrite the problem in a form that is suitable for numerical treatment, select the appropriate numerical method, implement the method, visualize and present a solution, and estimate the reliability of the results.
The course deals with:
- numerical methods for linear systems of equations, non-linear systems of equations, optimization, interpolation, the least squares method, and integration with deterministic and probabilistic methods.
- basic ideas and concepts such as algorithm, computational cost, iteration, local linearization, interpolation, extrapolation, discretization, order of accuracy, convergence, complexity, condition, and stability.