Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
In modern literature, the geometric integration means numerical integration of differential equations that provides an accurate preservation of one or more 'geometric' properties within rounding error. Among these properties we have to mention first conservation of energy, of momentum, of angular momentum, of volume of the phase space, of time-reversal symmetry, of symplectic structure (volume conservation) etc. In this article we consider the concept of geometrical integration using Lie transformations generated by dynamical system on the one hand, and matrix representation for corresponding evolution operators on the other hand. Examples of solutions for some test problems and of practical problems are given.
Original language | English |
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Title of host publication | 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings |
Editors | L. A. Petrosyan, A. P. Zhabko |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 38-41 |
Number of pages | 4 |
ISBN (Electronic) | 9781467376983 |
DOIs | |
State | Published - 30 Nov 2015 |
Event | International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Петергоф, St. Petersburg, Russian Federation Duration: 5 Oct 2015 → 9 Oct 2015 http://www.apmath.spbu.ru/scp2015/openconf.php |
Name | 2015 International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Proceedings |
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Conference | International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 |
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Abbreviated title | SCP 2015 |
Country/Territory | Russian Federation |
City | St. Petersburg |
Period | 5/10/15 → 9/10/15 |
Internet address |
ID: 3983423