Numerická integrace Hamiltonovských systémů.
| Thesis title in Czech: | Numerická integrace Hamiltonovských systémů. |
|---|---|
| Thesis title in English: | Numerical Integration of Hamiltonian systems. |
| Key words: | Hamiltonovské systémy, simplektické metody, numerické experimenty |
| English key words: | Hamiltonian systems, simplectic methods, numerical experiments |
| Academic year of topic announcement: | 2018/2019 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | |
| Department: | Department of Numerical Mathematics (32-KNM) |
| Supervisor: | RNDr. Miloslav Vlasák, Ph.D. |
| Author: | hidden - assigned by the advisor |
| Date of registration: | 09.03.2019 |
| Date of assignment: | 13.03.2019 |
| Guidelines |
| A vast array of natural phenomena ranging from the motion of celestial bodies to the movements of molecules can be mathematically described by a set of equations formulated in 1833 by sir William Rowan Hamilton. The aim of this thesis is
- to study the properties of the flow defined by Hamilton’s differential equations and the numerical methods tailored for solving them - to perform numerical experiments and compare these methods with classical methods for ODEs. |
| References |
| E. Hairer, S. P. Norsett, G. Wanner: Solving ordinary differential equations I, Nonstiff problems. Number 8 in Springer Series in Computational Mathematics. Springer Verlag, 2000
E. Hairer, C. Lubich, G. Wanner: Geometric Numerical Integration Structure-Preserving Algorithms for Ordinary Differential Equations. In Springer Series in Computational Mathematics. Springer-Verlag Berlin Heidelberg, 2006 |