Numerical techniques and algorithms for solution of linear and non-linear equations and equation systems, functions interpolation, approximation, numerical integration, differentiation and ordinary differential equation solution. Mathematical data structures and computer implementation of numerical algorithms. The example scripts and functions implementing the studied algorithms in MATLAB, computer class exercises and individual homework tasks in C#.P170B118
P170B118 Physically Based Animation
Equations of systems of particles and their solution using explicit numerical integration algorithms. Mathematical description of large displacements and nonlinear interactions (impact, friction, etc.). Contact algorithms for particles and rigid bodies and simulation of their impact behaviour. The course is based on programmed examples, laboratory works in the computer class, individual homeworks in the MATLAB environmentP170D101
P170D101 Mathematical Models in Informatics
Numerical techniques of nonlinear dynamic systems analysis, criteria and methods of stability analysis, attractors and fractals in non-linear systems, practical applications of the theory in engineering problems. Methodology of simulation modeling, techniques of model analysis, verification, validation and output statistical analysis. Finite element models and numerical analysis algorithms of physical systems described by partial differential equations.P170M102
P170M102 Modells and Algorithms of Physically Based Behavior
Mathematical description of structures and ther interaction, application of explicit and implicit computational strategies for linear and non-linear structural equations. Formulation of scalar and vector field problems in continua and derivation of finite element matrices. Characterization of model applications in computer gtraphics, science and engineering. Practical programming of examples in MATLAB.T210D439
T210D439 Numerical Methods in Engineering
The course consists of two parts: a) numerical solution of engineering analysis problems by using algorithms of solution of algebraic equations and equation systems, approximation, interpolation and numerical integration; b) finite element method and applications to linear solid, thermal and hydromechanical problems. The principles and computer implementation of basic numerical methods are considered in MATLAB and ANSYS environments.T210D440
T210D440 Finite Element Techniques
Displacement form of structural equations. Beam elements in 2D, finite elements for 2D elasticity and axisymmetric problems. Mathematical techniąues for obtaining the finite element equations. Substructures, submodelling, contact problems.Field finite elements with application to heat conduction and laminar flow. Field finite elements with application to heat conduction and laminar flow. Practical programming of examples in FORTRAN or MATLAB.T210M009
T210M009 Finite Element Method
Displacement form of structural equations. Beam elements in 2D, finite elements for 2D elasticity and axisymmetric problems. Mathematical techniques for obtaining the finite element equations. Substructures, submodelling, contact problems. Non-linear solid mechanics problems. Field finite elements with application to heat conduction. Field finite elements with application to heat conduction and laminar flow. Convection and fluid dynamics. Practical programming of examples in MATLAB and educational user's software.
