|
|
Algebraic Equations Comparisons
Nečasová, Gabriela ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
The thesis deals with the topic of comparative calculation of algebraic equations. First it describes the comparison of the overall number of operations at direct and iteration met\-hods, as well as gives concrete examples of the methods and explains solutions of direct and iteration methods. Another part focuses on possible methods of converting systems of linear algebraic equations to the system of differential equations. The end of the thesis describes method of working with TKSL/C, Matlab and Maple. In this thesis, there was designed graphical user interface serving for comfortable communication with TKSL/C programme. Graphical user interface was tested on concrete tasks demonstrating the conversion of system of linear algebraic equations to the system of differential equations.
|
|
|
Platform .NET for Numerical Integration
Kopecký, Jiří ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
This bachelor thesis deals with numeric solution of ordinary first-order differential equations and their systems. The first part of this thesis contains description of selected one-step integration methods. The second part is devoted to a language intended for differential equation notation. This part at first describes the study of languages of MATLAB, Maple and TKSL/386 simulation systems. Later, based on this study it presents a design of a new language. The penultimate part of the thesis deals with design and implementation of a system intended for the calculation of systems of differential equations. In the final part is then shown usage of this system to solve exercises from the Circuits Theory domain.
|
|
|
Electric Circuits Simulations
Šulc, Jiří ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
The aim of this bachelor's thesis was the design of elementary graphic computational editor in which quality schema designs of electrical circuits can be created easily and fast. The application is further able to automatically generate the system of equations describing the designed circuit which can be used in the TKSL simulation system for displaying of the solutions. The application is designed for student's use in order to support the teaching of the Circuit Theory. The bachelor's thesis further deals with the problem solving of differential equations by the way of numerical integration methods with direct use of the Taylor series. The complexity of the analytical and numerical algorithm of the differential equations in solving electrical circuits is analyzed on the examples.
|
|
|
Frequency and Transient Responses Based on Differential Equations
Turoňová, Lenka ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
This bachelor thesis deals with the investigation of amplitude and phase frequency responses of linear electrical circuits. It compares classical methods of investigation using a symbolic-complex method with investigation using differential equations. For graphical representation of the responses in the case of the symbolic-complex method there was used for demonstration of examples programs MATLAB and Maple. The aim of this work was also to create graphical user interface over TKSL/C, which allows input of differential equations and plotting amplitude and phase frequency responses.
|
|
|
Adjoint Differential Equations
Kmenta, Karel ; Pindryč, Milan (referee) ; Kunovský, Jiří (advisor)
This project deals with solving differential equations. The aim is find the correct algorithm transforming differential equations of higher order with time variable coefficients to equivalent systems of differential equations of first order. Subsequently verify its functionality for equations containing the involutioin goniometrical functions and finally implement this algorithm. The reason for this transformation is requirement to solve these differential equations by programme TKSL (Taylor Kunovský simulation language).
|
|
| |
|
| |
|
|
Electric Circuits Simulations in a Specialized Parallel System
Janko, Roman ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
This work provides an overview of methods for the numerical solution of differential equations. Options of their parallelization, a division of computational operations on multiple microprocessors, are provided with emphasis placed on the Taylor series. The next part of the work is devoted to the description of a specialized parallel system, which was design to fast solving of these equations. Differential equations are appropriate to describe electrical circuits. An important characteristic of each circuit is its behavior in the frequency domain. The aim of this thesis was to design and implement a program which investigate frequency characteristics of AC circuits. A method for analyzing a circuit and automatically assembling corresponding equations is presented. These differential equations are then solved in TKSL. At the end of this work a time consumption is evaluated and compared with Matlab.
|
|
|
Real Time Dynamic System Control
Veigend, Petr ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
This thesis deals with the real time dynamic system control and it uses similar computation methods as earlier bachelor thesis. In the beginning of the thesis, some basics from the field of control and regulation are explained. Systems in this thesis are mostly described by differential equations. Because of this, thesis contains a section about solving differential equations. In this section, multiple approaches are covered and compared. The Modern Taylor series method is introduced, which is used by implemented applications. For system simulation, existing software was upgraded and multiple additional utilities were also implemented. The approximation of the transport delay is also mentioned.
|
|
|
Autonomous Electronic Circuits Simulation Method
Minárik, Michal ; Konvalina, Jiří (referee) ; Kunovský, Jiří (advisor)
This work deals with a methodology of description of linear electrical circuits through the use of differential equations and autonomical method. It compares commom numerical methods with Taylor series method implemented in TKSL. It's focused on analysis of applicability of autonomical method to various circuits, complexity of circuit diagram transformation to system of equations and transcription to TKSL.
|
guest ::
