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Hardware Realization of Higher Order Numerical Integrator
Matečný, František ; Veigend, Petr (referee) ; Šátek, Václav (advisor)
This work describes numerical integration and solution for ordinary differential equations by the Taylor series by different types of integrators. The next part is a description of floating point and fixed point arithmetic. Subsequently, we are presenting designs and calculation methods for parallels multiplication and division integrators in floating point and fixed point arithmetic. The designs were realized in VHDL and implemented on FPGA. Finally we summarizes the proposed solution and compare time complexity with another numerical methods.
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Division Operation Simulation
Matečný, František ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
This work deals with numerical integration and division operation. The reader is acquainted with the numerical solution of differential equations using division by the Taylor series. Next is explained the principle of SRT division in hardware and introduction of draft of design series-parallel and parallel division integrator in fixed point arithmetic. The practical aim of this work is implementation parallel division integrator and development of a software simulation of this integrator.
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Hardware Realization of Higher Order Numerical Integrator
Matečný, František ; Veigend, Petr (referee) ; Šátek, Václav (advisor)
This work describes numerical integration and solution for ordinary differential equations by the Taylor series by different types of integrators. The next part is a description of floating point and fixed point arithmetic. Subsequently, we are presenting designs and calculation methods for parallels multiplication and division integrators in floating point and fixed point arithmetic. The designs were realized in VHDL and implemented on FPGA. Finally we summarizes the proposed solution and compare time complexity with another numerical methods.
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Division Operation Simulation
Matečný, František ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
This work deals with numerical integration and division operation. The reader is acquainted with the numerical solution of differential equations using division by the Taylor series. Next is explained the principle of SRT division in hardware and introduction of draft of design series-parallel and parallel division integrator in fixed point arithmetic. The practical aim of this work is implementation parallel division integrator and development of a software simulation of this integrator.
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