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Parallel Computer Systems Based on Numerical Integrations
Kraus, Michal ; Kubátová, Hana (referee) ; Kollár,, Ján (referee) ; Kunovský, Jiří (advisor)
This thesis deals with continuous system simulation. The systems can be described by system of differential equations or block diagram. Differential equations are usually solved by numerical methods that are integrated into simulation software such as Matlab, Maple or TKSL. Taylor series method has been used for numerical solutions of differential equations. The presented method has been proved to be both very accurate and fast and also procesed in parallel systems. The aim of the thesis is to design, implement and compare a few versions of the parallel system.
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Multiple Operation Simulation
Závada, Vladislav ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
This work deals with the numeric integration. The reader is acquainted with the numerical solution of differential equations using Taylor series method. Then describes the different variants integrators. The practical part describes the design double-input integrator with multiplication and its implementation in an FPGA. For this integrator is also provided a simulator demonstrate its function.
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Automatic Computation Control
Opálka, Jan ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
This work deals with the automatic control of numerical calculations. The reader is acquainted with the numerical solution of differential equations and the parallel, serial, and series-parallel numerical integrator. The practical aim of this work is to design control circuits for the three mentioned variants of integrators. The design includes the development of a software simulator of the control circuit for the series-parallel integrator in a fixed point.
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Physics Simulator for SandBox Type Games
Kotulič, Patrik ; Peringer, Petr (referee) ; Hrubý, Martin (advisor)
This thesis focuses on the creation of a physics simulator of rigid body mechanics. The reader is familiarized with the principles used in current simulators of rigid body mechanics. The thesis then deals with numerical integration of the equations of motion, collision detection and collision resolution. The simulator is presented on a series of experiments. The resulting application can be used as a video game or as a tool for experimentation.
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Specialized Parallel System and Elementar Processors
Nevřala, Pavel ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
The present thesis deals with the conceptual design of the elementary processor for computation of fixed point. This study will examine and analyze the cooperation of processors in the calculation of linear systems of differential equations with a focus on Euler's method, Runge-Kutta method and Taylor series. The thesis is divided into two major parts. The first part contains the processor design according to the type of communication processor internal components and the type of communication between processors in the calculation. The second part describes the design and implementation of a specialized multi-variant parallel system and a compararison between them.
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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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Finite Integrals Numerical Computations
Mikulka, Jiří ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
The application of the finite integral of multiple variable functions is penetrating into more and more industries and science disciplines. The demands placed on solutions to these problems (such as high accuracy or high speed) are often quite contradictory. Therefore, it is not always possible to apply analytical approaches to these problems; numerical methods provide a suitable alternative. However, the ever-growing complexity of these problems places too high a demand on many of these numerical methods, and so neither of these methods are useful for solving such problems. The goal of this thesis is to design and implement a new numerical method that provides highly accurate and very fast computation of finite integrals of multiple variable functions. This new method combines pre-existing approaches in the field of numerical mathematics.
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Parallel/Serial ALU Interconecting System
Sekaninová, Michaela ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
This thesis deals with creation of parallel/serial ALU interconecting system. The content of the work is to introduce the issue of interconecting systems and numerical solutions of di fferential equations using Taylor series method. The practical aim of the thesis is to design and implement interconecting system performing calculations of di fferential equations. The system connects integrators automatically by given problem.
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Optimization Methods for Compensation of Shooting Inaccuracy
Horníček, Jan ; Novotný, Jan (referee) ; Popela, Pavel (advisor)
In this work there is performed analysis of inaccuracy shooting and its optimum corrections especially for playing darts. At rst the model describing inaccurate shooting is made. Using this model we received prerequisites for numerical solving of our problem. Computing algorithm was made and than was proven that our problem can be solved with arbitrary precision by this algorithm. The algorithm was implemented in MATLAB and modied using functional Analysis to minimize computing time. Our problem was solved by this algorithm and in conclusion was made simple application for visualization of received data.
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Space structure of industry building object
Pelikán, Adam ; Švaříčková,, Ivana (referee) ; Šimůnek, Petr (advisor)
The subject of this project is the structure of the storage hall which is made of reinforced concrete. It is designed as precast frame (span of 18m), founded on pocket footings. The roof deck (non-rigid) consists of ribbed slabs. The cladding is made of sandwich panels (reinforced concrete and isolation) layed on foundation beam. The design is focused on the single typical frame. Roof girder, column and pocket footing are designed. Designed life of the structure is 50 years.
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