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TY - CONF AU - Ovsyannikov, D.A. AU - Edamenko, N.S. ED - Kuzin, Maxim ED - Schaa, Volker RW TI - On the Integro-Differential Equations for Dynamics of Interacting Charged Particles Modeling J2 - Proc. of RuPAC2016, St. Petersburg, Russia, November 21-25, 2016 C1 - St. Petersburg, Russia T2 - Russian Particle Accelerator Conference T3 - 25 LA - english AB - In this paper we investigate the integro-differential model for the dynamics of charged particles with smooth interaction for the analysis and optimization of intense charged particle beams motion in accelerating and focusing structures. Introduced mathematical models allows us to calculate the first variation of the different functionals characterizing the desired parameters of accelerators in analytical form. Thus mathematical model can be effectively used in the analysis and optimization of charged particles dynamics in accelerators. PB - JACoW CP - Geneva, Switzerland SP - 392 EP - 394 KW - simulation KW - electromagnetic-fields KW - plasma KW - controls KW - focusing DA - 2017/02 PY - 2017 SN - 978-3-95450-181-6 DO - 10.18429/JACoW-RuPAC2016-WEPSB015 UR - http://jacow.org/rupac2016/papers/wepsb015.pdf ER -