The aim of this thesis is to present differential variational inequalities and to summarize basic theory of the existence of solutions together with numerical methods for solving them. These tools are applied to problems from mechanics, electrical circuits and economics. Using theory&#...

The goal of this diploma thesis is to introduce the s-dimensional Hausdorff integral, to compare it to other types of integrals and to show its possible applications. Before that, it is necessary to define and study the Hausdorff measure, including the more general Hausdorff m...

The diploma thesis "Methods of identification of outliers" deals with a detection of outliers in sets of data. To prevent the distortion of results, it is very important to carry out this process before further data processing. The aim of this thesis is to introduce&...

The aim of this thesis is to price options using binomial and trinomial models and to use these models for pricing real options. This work is divided into two parts. Theoretical part describes options and shows a derivation of both models. The second practical part is...

This thesis deals with using the knowledge of betting theory for fixed odds sports betting. More specifically, betting on long-term competition on home-win, draw or away-win was chosen, which is sometimes called "1-0-2" betting. The main objective is to use this betting as...

The aim of this work is to determine whether major sporting events have a significant influence on the stock markets. The sporting events examined are: FIFA World Cup, UEFA European Championship, and the Olympic Games. The influence of these events is separately evaluated for ...

The aim of this paper is to create a blueprint of study material: Mathematical 3D text. It should offer explanation of given topic on several different levels of difficulty. It should also facilitate self-learning, usage of modern technology and active search for additional informa...

This thesis is focused on the conversion of 3D data from CAD to GIS environment while preserving attribute field. The thesis describes 3D representations, data formats for storing 3D data and procedures for the transfer of data from CAD to GIS. On the example of building&...

The diploma thesis deals with innovation of the ArcČR500 data model version 3.2, which does not fully exploit the possibilities of the ESRI Geodatabase format as well as with filling the model with data and presenting its possible use by illustrative examples. The thesis descr...

This thesis deals with some kinetic schemes based on the Boltzmann equation. The thesis focuses mainly on the kinetic scheme of BGK type, both for the non-linear case (Burgers equation) and the linear advection case (for the purpose of stability analysis). An advantage of thes...

The aim of the thesis was to contribute to improving the quality of data Register of territorial identification, addresses and real estate (RTIARE), which are focused on the control and data links of buildings. A total of four controls were carried out: 1. Searching buildings&...

The main topic of this thesis is the probability and statistics as one of the thematic units covered in the subject mathematics in high school. This work is written in the form of teaching material which is focused on the motivational exercises of the probabilities, that&...

The thesis deals with the application of a class of high-resolution methods in a relatively new turbulence modelling approach called ILES (implicit large eddy simulation). This approach is presented in the context of common methods for turbulent flow modelling - RANS, LES and DNS.&...

This Diploma Thesis deals with conditionality of inverse problems for Earth's gravity, or more precisely, gravitational field parameter transformation. First, basic concepts related to Earth's gravitational field and its geodetic description are mentioned. Furthermore, the matematical apparatus used...

This diploma thesis deals with numerical methods for solving the advection-diffusion equation in one and two space dimensions. The most attention is paid to an approach based on transforming the original equation into a hyperbolic system and the benefits of using this approach for&...

This work deals with selected problems from the area of numerical solution of partial differential equations and their applications to image processing. The main focus is to derive some numerical schemes, their implementation and results comparison with existing approaches of other technical...

The main goal of this paper is to propose a straightforward method for analysing of web mapping applications which leads to creating user-friendly applications. In the first step, an analysis of similar mapping apps is conducted. The second part of the proposed analysis is ...

This thesis deals with global and local navigation of pedestrians in dynamicaly changing virtual city models. We chose one method (D* Lite) from the group of existing heuristic dynamic algorithms. We tried to decrese the computational time of D* Lite path replanning by using l...

The objective of this diploma thesis is to explore the relation of 3D geotechnologies and technologies for 3D printing with help of Rapid Prototyping methods. Moreover, the process of 3D data preparing for 3D printing is created. Work has to demonstrate the throughput of 3D&#x...

This paper analyses solutions to scalar conservation law with generalized flux function. For non-convex flux functions the nonclassical shock wave may arise and this solution violates the classical Oleinik entropy condition, however we show, that also this solution is admissible. We also...