Stepize control algorithms for composition ODE solvers
| Autor: | Sergei V. Goryainov, Valery S. Andreev, Dmitriy A. Belkin, Valerii Y. Ostrovskii |
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| Rok vydání: | 2017 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization Series (mathematics) Systems simulation Computer science Truncation error (numerical integration) Extrapolation Ode 02 engineering and technology Space (mathematics) Hamiltonian system 020901 industrial engineering & automation 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing Algorithm design |
| Zdroj: | 2017 XX IEEE International Conference on Soft Computing and Measurements (SCM). |
| DOI: | 10.1109/scm.2017.7970578 |
| Popis: | The purpose of this research is to study the symplecticity and reversibility of Hamiltonian systems simulated with adaptive step control algorithms. We consider several composition ODE solvers of different accuracy order using H. Yoshida composition formulas and semi-implicit basic methods. The comparison of three adaptive step control algorithms with different local truncation error estimation techniques is given. A full system energy behavior and dynamics of a solution phase space are studied in a series of computer experiments. |
| Databáze: | OpenAIRE |
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