1. Numerical modelling of forming technologies (basic approaches; inclusion of time and nonlinearities in the calculation; use of various numerical methods) 2. Finite element method in ANSYS software environment (basic principle; solution of forming tasks in ANSYS software; basic stages of preprocessing and postprocessing) 3. Finite difference method (basic principle; possibilities of computational mesh; discretization of space and time; heat conduction equation - illustration of the use of MKD for temperature field distribution) 4. Discrete element method (basic principle; hard and soft method; possibilities of discretization and interconnection of elements) 5. SPH method (basic principle; weight function and smooth distance; implementation of boundary conditions) 6. Boundary element method (basic principle; fundamental solution; possibilities of discretization) 7. Finite volume method (introduction to hydrodynamics; basic principle of FVM; possibilities of discretization; solution of interface between two medium types) 8. Numerical simulation of heat treatment (goals of numerical analyses; simulation of welding in FEM environment) 9. Introduction to numerical simulation of welding (basic quantities; inputs and outputs of numerical analyses) 10. Methods of welding problems solving (transient method; Macro Bead method; locally global method; contraction method) 11. Thermal processes in welding and their mathematic modelling (structure and properties of welded joint and HAA; temperature field; temperature cycle) 12. Tension and deformation during welding (causes, modelling and measuring) 13. Application of numerical modelling in the manufacturing process (practical examples)