Testing of Symplectic Integrator of Spin-orbit motion based on matrix formalism

A. Ivanov; S. Andrianov; N. Kulabukhova; R. Maier; Yu. Senichev; D. Zyuzin

Testing of Symplectic Integrator of Spin-orbit motion based on matrix formalism

A. Ivanov, S. Andrianov, N. Kulabukhova, R. Maier, Yu. Senichev, D. Zyuzin

Кафедра компьютерного моделирования и многопроцессорных систем

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции

2 Цитирования (Scopus)

Аннотация

Investigation of spin-orbit motion in electromagnetic fields requires different numerical methods. Approaches for long-term evolution modelling need both performance and symplecticity. In this paper we discuss matrix maps method for numerical simulation. We examine symplecticity of maps by two ways. First of all, the direct condition of symplecticity is considered. Second approach is an order by order symplectification of trancated series map. In the research we examine symplectification and errors in terms of electostatic storage ring.

Язык оригинала	английский
Название основной публикации	Proceedings of IPAC 2013
Страницы	2582-2584
Состояние	Опубликовано - 2013

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Ivanov, A., Andrianov, S., Kulabukhova, N., Maier, R., Senichev, Y., & Zyuzin, D. (2013). Testing of Symplectic Integrator of Spin-orbit motion based on matrix formalism. В Proceedings of IPAC 2013 (стр. 2582-2584) http://www.scopus.com/record/display.url?eid=2-s2.0-84890758825&origin=resultslist&sort=plf-f&src=s&st1=Testing+of+Symplectic+Integrator+of+Spin-orbit+motion+based+on+matrix+formalism&st2=&sid=CF61C5B7DD4B2BC03042640D56898D38.aXczxbyuHHiXgaIW6Ho7g%3a470&sot=b&sdt=b&sl=94&s=TITLE-ABS-KEY%28Testing+of+Symplectic+Integrator+of+Spin-orbit+motion+based+on+matrix+formalism%29&relpos=0&relpos=0&citeCnt=0&searchTerm=TITLE-ABS-KEY%28Testing+of+Symplectic+Integrator+of+Spin-orbit+motion+based+on+matrix+formalism%29

@inproceedings{d83937acb1fa4c7583ea8e2318ce4e8d,

title = "Testing of Symplectic Integrator of Spin-orbit motion based on matrix formalism",

abstract = "Investigation of spin-orbit motion in electromagnetic fields requires different numerical methods. Approaches for long-term evolution modelling need both performance and symplecticity. In this paper we discuss matrix maps method for numerical simulation. We examine symplecticity of maps by two ways. First of all, the direct condition of symplecticity is considered. Second approach is an order by order symplectification of trancated series map. In the research we examine symplectification and errors in terms of electostatic storage ring.",

author = "A. Ivanov and S. Andrianov and N. Kulabukhova and R. Maier and Yu. Senichev and D. Zyuzin",

year = "2013",

language = "English",

isbn = "9783954501229",

pages = "2582--2584",

booktitle = "Proceedings of IPAC 2013",

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Ivanov, A, Andrianov, S , Kulabukhova, N, Maier, R, Senichev, Y & Zyuzin, D 2013, Testing of Symplectic Integrator of Spin-orbit motion based on matrix formalism. в Proceedings of IPAC 2013. стр. 2582-2584. <http://www.scopus.com/record/display.url?eid=2-s2.0-84890758825&origin=resultslist&sort=plf-f&src=s&st1=Testing+of+Symplectic+Integrator+of+Spin-orbit+motion+based+on+matrix+formalism&st2=&sid=CF61C5B7DD4B2BC03042640D56898D38.aXczxbyuHHiXgaIW6Ho7g%3a470&sot=b&sdt=b&sl=94&s=TITLE-ABS-KEY%28Testing+of+Symplectic+Integrator+of+Spin-orbit+motion+based+on+matrix+formalism%29&relpos=0&relpos=0&citeCnt=0&searchTerm=TITLE-ABS-KEY%28Testing+of+Symplectic+Integrator+of+Spin-orbit+motion+based+on+matrix+formalism%29>

Testing of Symplectic Integrator of Spin-orbit motion based on matrix formalism. / Ivanov, A.; Andrianov, S.; Kulabukhova, N.; Maier, R.; Senichev, Yu.; Zyuzin, D.

Proceedings of IPAC 2013. 2013. стр. 2582-2584.

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции

TY - GEN

T1 - Testing of Symplectic Integrator of Spin-orbit motion based on matrix formalism

AU - Ivanov, A.

AU - Andrianov, S.

AU - Kulabukhova, N.

AU - Maier, R.

AU - Senichev, Yu.

AU - Zyuzin, D.

PY - 2013

Y1 - 2013

N2 - Investigation of spin-orbit motion in electromagnetic fields requires different numerical methods. Approaches for long-term evolution modelling need both performance and symplecticity. In this paper we discuss matrix maps method for numerical simulation. We examine symplecticity of maps by two ways. First of all, the direct condition of symplecticity is considered. Second approach is an order by order symplectification of trancated series map. In the research we examine symplectification and errors in terms of electostatic storage ring.

AB - Investigation of spin-orbit motion in electromagnetic fields requires different numerical methods. Approaches for long-term evolution modelling need both performance and symplecticity. In this paper we discuss matrix maps method for numerical simulation. We examine symplecticity of maps by two ways. First of all, the direct condition of symplecticity is considered. Second approach is an order by order symplectification of trancated series map. In the research we examine symplectification and errors in terms of electostatic storage ring.

M3 - Conference contribution

SN - 9783954501229

SP - 2582

EP - 2584

BT - Proceedings of IPAC 2013

ER -