The study of mathematical engineering focuses on developing mathematical disciplines used as theoretical foundations of engineering fields especially mechanical engineering. These are above all modern parts of approximate and numerical methods, stochastic methods, fuzzy and qualitative models, discrete mathematics, modern computer methods, parts of modern mathematical analysis. Doctoral dissertations are devoted both to developing the respective mathematical disciplines and to specific theoretical and experimental engineering problems.

prof. RNDr. Miloslav Druckmüller, CSc.

1. Algebraic-geometric methods in continuum mechanics and in materials with microstructure

   The theme is focused on the application of the theory of jets and Weil algebras for materials corresponding with Cosserat continuum and generalizations. It is a new use of methods of commutative algebra and modern differential geometry in applications.

   Tutor: Kureš Miroslav, doc. RNDr., Ph.D.

2. Image processing based on Clifford algebras.

   The goal is the systematic analysis and creation of software tools to image processing using Clifford algebras. In the implementation of selected algorithms, our goal is to use the computational complexity based on algebraic properties of Clifford algebras. It is the situation analogous to the use of quaternionic algebras in computer graphics.

   Tutor: Hrdina Jaroslav, doc. Mgr., Ph.D.