This work concerns the solvability of the semi-linear elliptic partial differential equations at resonance with measure data in the very weak sense, i.e., the solution is an element of the space L^1(D). Particularly, we assume D to be a bounded domain in R^N with C^2 boun...

In this thesis we study rational techniques for computing exact/approximate parameterizations of canal and ringed surfaces. In the first part of the thesis we focus on canal surfaces given implicitly the designed approach is based on computing approximate topology-based parameterizations of&...

This thesis focuses on bistable equation $u_t = \varepsilon^2 u_{xx} -F'(u)$ that models the dynamics of phase transition at some critical temperature. It is based on work of Drábek and Robinson (Drábek, P. and Robinson, S.B.: Continua of local minimizers in a non-smooth m...

The author has asked for the recognition of diploma thesis as a doctoral (RNDr.) thesis. Annotation of diploma thesis: This master's thesis studies the problem of robust stabilization by static state and static output feedback. We look for an optimal feedback that assigns the&#...

The author has asked for the recognition of diploma thesis as a doctoral (RNDr.) thesis. Annotation of diploma thesis: This diploma thesis deals with the transport equation on semidiscrete domains. In the first part we focus on the linear equation. We present basic prop...

The subject of the diploma thesis is the Heston model. One part of the thesis illustrates the complexity of the calibration process of the model. This is done using synthetic option prices, where the model implied parameters are known. Calibration of the model to the data...

This thesis is devoted to special techniques for interpolation of planar (points and associated tangent vectors) and spatial (quadrilateral mesh of points with associated normal vectors) data. In the first theoretical part, we study Hermite interpolation by cubic Pythagorean &#...

In recent years, studying convolutions of hypersurfaces (especially of curves and surfaces) has become an active research area. For instance, one of the fundamental operations in Computer Aided Design, i.e., offsetting, can be expressed as the convolution with a circle/sphere. The main&...