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Algebraic Equations Solution Convergence
Sehnalová, Pavla ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
The work describes techniques for solving systems of linear and differential equations. It explains the definition of conversion from system of linear to system of differential equations. The method of the elementary transmission and the transform algorithm are presented. Both of methods are demonstrated on simply examples and properties of conversion are shown. The work compares fast and accurate solutions of methods and algorithm. For computing examples and solving experiments following programs were used: TKSL and TKSL/C. The program TKSL/C was enriched with the graphic user interface which makes the conversion of systems and computing results easier.
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Definite Integrals in Maple, Matlab and TKSL
Barták, Jaroslav ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
This thesis discourses different types of definite integrals calculations, applying Maple, Matlab and TKSL software. Additionally, the thesis compares above software in terms of usability of calculated results of each program. For verification of calculations and comparison of different interpretations, there are examples of source code attached. By virtue of this files it is possible to revise the calculations of definite integrals and compare complexity of its record. Finally, the paper also compares above programs considering their user-friendliness.
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Electronic Circuits Simulation
Žabka, Michal ; Kocina, Filip (referee) ; Šátek, Václav (advisor)
The aim of this bachelor thesis is to introduce the most popular numerical methods for solving differential equation. Following part describe a electronic circuits and simulation programs. First part of this thesis is focused on the Taylor series method computation and its parallel solution. In another chapters, it will be describe the methods for solution of electronic circuits, the process of designing a model of CMOS inverter, CMOS NAND and CMOS NOR. The final part of this thesis is focused on simulation in various simulation programs and evaluation of the effectiveness of individual methods.
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Real Time Dynamic System Control
Adamík, Pavel ; Kaluža, Vlastimil (referee) ; Kunovský, Jiří (advisor)
This thesis focuses on the methodology of controlling dynamic systems in real time. It contents a review of the control theory basis and the elementary base of regulators construction. Then the list of matemathic formulaes follows as well as the math basis for the system simulations using a difeerential count and the problem of difeerential equations solving. Furthermore, there is a systematic approach to the design of general regulator enclosed, using modern simulation techniques. After the results confirmation in the Matlab system, the problematics of transport delay & quantization modelling follow.
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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.
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Frequency Responses
Urbánek, Radim ; Kraus, Michal (referee) ; Kunovský, Jiří (advisor)
The aim of this MSc Thesis is to create a system for automatic generation of frequency characteristics of electrical circuits. These circuits are described by differential equations. A special simulator of RLC circuit has been created and frequence response, vector diagram can be generated. This system has been mainly suggested for application in education. The process of solving differential equations is based on the Taylor method. Systems in general is the theoretical part of this project. Different definitions of systems their divission ,basic phenomenons and mathematical devices are described there. Next chapter deals with the mathematical devices for solving differential equations which makes the basis for description of phenomenons in these systems. There are also systems TKSL and TKSL/C. In the next chapter I was investigaty the analyze of vector diagrams for simple and more difficult circuits. I have found a solution for actual circuit by this technique. The last chapter is devoted to the frequency characteristics and descriptions of simulation program for generation the frequency characteristics.
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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.
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