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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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Multiple Integral Effective Computations
Iša, Radek ; Veigend, Petr (referee) ; Šátek, Václav (advisor)
This thesis deals with the design system for multiple integrals for diferential expression with space variables. Today, integration is one of engineering problems. Reader is acquainted with different method of integration, then with numerican integration and Taylor series. The practical aim of this work is to design software and hardware system of numerican integration multiple integrals.
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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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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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Methods of numerical integration
Čoupek, Filip ; Tomášek, Petr (referee) ; Zatočilová, Jitka (advisor)
This bachelor thesis focuses on numerical calculation of a simple specific integral. First, the basic concepts are established and briefly described interpolation and orthogonal polynomials, from which the individual formulas are based. Emphasis is placed on the introduction, derivation and description of Newton-Cotes quadrature formulas, Gauss quadrature formulas and Clenshaw-Curtis quadrature formulas. In the penultimate chapter we describe the principle of adaptive integration and Romberg's method. At the end of the thesis is a comparison of individual methods on specific examples using the software Matlab.
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Partial Differential Equations Parallel Solutions
Čambor, Michal ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
This thesis deals with the concepts of numerical integrator using floating point arithmetic for solving partial differential equations. The integrator uses Euler method and Taylor series. Thesis shows parallel and serial approach to computing with exponents and significands. There is also a comparison between modern parallel systems and the proposed concepts.
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Methods of numerical integration
Čoupek, Filip ; Tomášek, Petr (referee) ; Zatočilová, Jitka (advisor)
This bachelor thesis focuses on numerical calculation of a simple specific integral. First, the basic concepts are established and briefly described interpolation and orthogonal polynomials, from which the individual formulas are based. Emphasis is placed on the introduction, derivation and description of Newton-Cotes quadrature formulas, Gauss quadrature formulas and Clenshaw-Curtis quadrature formulas. In the penultimate chapter we describe the principle of adaptive integration and Romberg's method. At the end of the thesis is a comparison of individual methods on specific examples using the software Matlab.
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Multiple Integrals
Valešová, Nikola ; Veigend, Petr (referee) ; Šátek, Václav (advisor)
The problem of definite integral and differential equation computation is still a significant part of many scientific branches and the solution of integral calculus tasks can be found in many industrial fields too. During the computation of such tasks, the accuracy and high-speed requirements are often confronted. These requirements are crucial during the process of the suitable method choice. The aim of this thesis is to propose, describe, implement and test a new numerical method, which combines the solution of definite integrals by transforming them into differential equations solved by the Taylor series with the traditional methods, which use the Newton-Cotes formulas. As a result, a new application has been developed, that provides fast results of definite two-dimensional integrals and reaches at least the precision of MATLAB. The major accomplishment of this thesis is the development of a new numerical method and its comparison to other established ways of computation.
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Multiple Integral Effective Computations
Iša, Radek ; Veigend, Petr (referee) ; Šátek, Václav (advisor)
This thesis deals with the design system for multiple integrals for diferential expression with space variables. Today, integration is one of engineering problems. Reader is acquainted with different method of integration, then with numerican integration and Taylor series. The practical aim of this work is to design software and hardware system of numerican integration multiple integrals.
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Specialized Computer System Automatic Control
Opálka, Jan ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
This work deals with the automatic control of calculations of specialized system. The reader is acquainted with the numerical solution of differential equations by Taylor series method and numerical integrators. The practical aim of this work is to analyze parallel characteristics of Taylor series method, specification of parallel math operations and design of control of this operations.
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