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N-Body Simulation Program
Kollárová, Martina ; Martinek, David (referee) ; Peringer, Petr (advisor)
The n -body problem simulator predicts the motion of celestial bodies by numerically integrating the laws of motion. Gravitational interactions are computed directly between the bodies using Newton's classical mechanics and the bodies are modelled as point masses. The application animates the problem and will be available under the GPL licence. It can be used while teaching continuous simulation to show accuracy differences between numerical integrators with various time steps. It can also serve as an experimentation tool for physics students. Some basic examples are included in the project, like the Solar System and the three body problem with the Earth, Moon and Sun.
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Numerical Methods for SIMLIB/C++
Němec, Zbyšek ; Martinek, David (referee) ; Peringer, Petr (advisor)
In my thesis I deal with design and implementation of numerical integration methods in object-oriented simulation library SIMLIB/C++. I have proposed and implemented modification of application interface and subsystem of numerical integration methods in SIMLIB library to allow easier extension with external methods. I also added a set of new external methods from GSL(GNU Scientific Library) and some of the interesting methods written in Fortran language from Netlib repository into SIMLIB. I have tested the new and the existing methods and I have compared their properties from the viewpoint of efficiency, stability and accuracy.
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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.
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N-Body Simulation Program
Kollárová, Martina ; Martinek, David (referee) ; Peringer, Petr (advisor)
The n -body problem simulator predicts the motion of celestial bodies by numerically integrating the laws of motion. Gravitational interactions are computed directly between the bodies using Newton's classical mechanics and the bodies are modelled as point masses. The application animates the problem and will be available under the GPL licence. It can be used while teaching continuous simulation to show accuracy differences between numerical integrators with various time steps. It can also serve as an experimentation tool for physics students. Some basic examples are included in the project, like the Solar System and the three body problem with the Earth, Moon and Sun.
|
|
|
Numerical Methods for SIMLIB/C++
Němec, Zbyšek ; Martinek, David (referee) ; Peringer, Petr (advisor)
In my thesis I deal with design and implementation of numerical integration methods in object-oriented simulation library SIMLIB/C++. I have proposed and implemented modification of application interface and subsystem of numerical integration methods in SIMLIB library to allow easier extension with external methods. I also added a set of new external methods from GSL(GNU Scientific Library) and some of the interesting methods written in Fortran language from Netlib repository into SIMLIB. I have tested the new and the existing methods and I have compared their properties from the viewpoint of efficiency, stability and accuracy.
|
|
|
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.
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