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...

This thesis focuses on the use of terrestrial laser scanning data, the detailed description of the procedure for the creation of a comprehensive mine surveying documentation and on automated determination of volumes in the surface mine. The impuls for the treatment of this problem&...

Diploma Thesis is devoted to 3D Cadastre and Standardization for 3D Cadastre. The initial chapters talk about motivation for the introduction of 3D Cadastre. The next section analyzes the standard ČSN EN ISO 19152, Geographic Information Land Administration Domain Model and its po...

The aim of this thesis is to validate selected streets and addresses in Register of Territorial Identification, Addresses and Real Estates (RTIARE). The validations are based on the spatial properties of the data. The theoretical part describes RTIARE and the validations that have...

This thesis is concerned with 3D building modelling in accordance with the CityGML standard. It comprises the selection of CityGML classes suitable for available GIS data representation, design of this data classes to selected CityGML classes mapping and design and realisation of GIS&#x...

This work deals with methods for solution of advection-diffusion equation. Those problems arise in several models of flows, but also in other physical phenomena. For discretization there is used finite differences method and finite elements method. This work also focuses on iterative me...

This Master´s Thesis describes the processes of development and creation of geodetic documentation which is used for the factual construction of installations and buildings during the construction of motorways. This type of documentation should be in compliance with the requirements stipulated&#x...

The equation of radiative transfer describes the transfer of energy in the form of electromagnetic radiation through absorbing, emitting and scattering medium. First of all, a derivation of the equation along with a description of the related physical processes is provided. The equation...

This Diploma Thesis is devoted to the study of properties of the Fučík spectrum of the asymmetric difference operator and solvability of boundary value problems. At first, the properties of the Neumann difference operator are studied. The main results concern description of its Par...

This diploma thesis is focused on study of nonlinear differential equation involving p-Laplace operater, in which source term depend on parameter, space variable, unknown function and its derivative. We also assume that source term can be decompose on (p-1)-homogeneous part and bounded ...

This thesis deals with contakt problem of elastic bodies, two or more, solved by finite element method (FEM). It describes mathematical priciples of contact problem, finite element method algorithm and it's implementation in MathWorks Matlab. The paper focuses on creating the application...

There are two main approaches to non-overlapping domain decomposition methods, primal and dual formulation. One of the primal methods is BDD (Balancing domain decomposition) and an example of dual methods is Total FETI (Total Finite element tearing and interconnect). We cover main princ...

The main subject of the thesis is to study and implement selected stochastic volatility models alongside the newly proposed approximative fractional stochastic volatility model (FSV) that was firstly introduced by Intarasit and Sattayatham in 2011 [35]. After the semi-closed form solution of...

The aim of this thesis is above all to acquaint with the issues connected to spot yield curves and their construction. In relation to yield curves methods the thesis focuses on selected interpolation and extrapolation methods. Selected methods based on interpolation are polynomial ...

This diploma thesis deals with adding simplified land inventory parcels during digitization of file of geodetic information. It describes historical preconditions to origin of simplified land inventory and method of adding plots registered this way to the file of geodetic information. A ...

Master thesis deals with the theory of T-spline surfaces. The beginning part reviews fundamental defi nitions and features of Spline, Bézier, B-spline, and NURBS curves and surfaces, and introduces the defi nition of T-spline surface. The middle part is dedicated to conversion between&#...

This diploma thesis deals with the transport equation on semidiscrete domains. In the first part we focus on the linear equation. We present basic properties of the classical transport partial differential equation, then we study the semidiscrete case with discrete space and continuous&...

The thesis is devoted to the study of the theory of essentially non-oscillatory schemes (ENO) which are applied to finite volume methods for the numerical solution of hyperbolic conservation laws. ENO are based on the reconstruction problem of the cell averages. The reconstruction ...

This diploma thesis focuses on the description of selected rotary, screw and rectilinear surfaces. The text is written in the form of study material that should be used when teaching a special seminar in descriptive geometry. The thesis also includes worksheets provided in electron...

The main goal of the Mater thesis is to realize a~precise transformation between the S-JTSK coordinate system and the ETRS89 coordinate system. Then there is possible to use the calculated key of transformation for a~precise transformation in a~GIS software. The calculation of precise&#...