Numerical methods in electrical engineering: selected issues IS-FEE-20012

To acquaint students with chosen numerical methods of solving electrical problems (i.e. electric circuits, electromagnetic phenomena), particularly with algorithms and available applications for the solution of differential equations which correspond to steady state and transient behaviour. To show students how to:
(a) use and implement some of the methods to solve problems connected with electrical engineering;
(b) use some mathematical and specialized software;
(c) assess reliability of numerical results;
(d) validate and interpret results of implemented algorithms.
Lecture: Mathematical modelling and computer aided solution of EE problems: the aims and classification of the methods. Taylor’s series and its interpretation, Taylor’s theorem for functions of many variables. Differential approximation of linear and vector operators used in electrical problems. The formulation and properties of the finite difference method (incl. finite difference time domain method). Finite element method.
Principles of distributed processing. Paradigms of multi-processing. Coefficients of performance, Amdahl’s law, Gustaffson’s law, the properties and implementation of distributed processing libraries.
Specialization workshop: Numerical analysis of chosen circuit and field problems related to electrical engineering with the use of the finite difference and finite element methods. Declaration of boundary conditions, analysis of chosen open boundary problems.
Analysis and validation of results.

Requirements:
Students are expected to have knowledge in the field of mathematics, physics, circuit theory, digital and analog electronics, fundamentals of computer
science. The general requirement is that student finished studies on the bachelor�s level in the area of electrical engineering, electronics and
telecommunication or related. In some cases prerequisites are defined.