39 hod., optionally

Examples of practical problems, principle of numeric methods, classification and propagation of errors.
Encreasing of result accuracy, Richardson extrapolation.
Complete metric space, contraction mapping, Banach fixed-point theorem and its use.
Finite, matrix-iterative and gradient-iterative methods for solution of linear equations.
Review of nethods for one nonlinear equation solution, Newton and iterative method for systems.
Ordinary differential equations, basic considerations and concepts.
Initial value problems, one-step methods, Runge-Kutta methods.
Taylor series method, principle of its algorithm, possibilities of its application.
Multi-step methods, methods based on numeric derivation and integration, predictor-corrector methods.
Boundary value problems, the finite difference, finite element and finite volume methods.
Partial differential equations, basic concepts, the second-order equation classification.
Finite difference method, finite element method.
Finite volume method, examples of numerical field computations.