TY - CONF

T1 - Comparison of matrix formalism and step-by-step integration for the long-term dynamics simulation in electrostatic fields

AU - Ivanov, A.

PY - 2012/12/1

Y1 - 2012/12/1

N2 - An approach based on matrix formalism for solving differential equations is described. Effective in sense of performance matrix formalism can be tested with less efficient, but accurate traditional algorithm of numerical simulation based on the Runge-Kutta scheme. In both cases the symplectic version of the algorithms are used. The results coincide to analytical calculations, but some disagreements have been identified. The approach implementation is demonstrated in the problem of long-term spin dynamics in electrostatic fields.

AB - An approach based on matrix formalism for solving differential equations is described. Effective in sense of performance matrix formalism can be tested with less efficient, but accurate traditional algorithm of numerical simulation based on the Runge-Kutta scheme. In both cases the symplectic version of the algorithms are used. The results coincide to analytical calculations, but some disagreements have been identified. The approach implementation is demonstrated in the problem of long-term spin dynamics in electrostatic fields.

UR - http://www.scopus.com/inward/record.url?scp=84890022974&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84890022974

SP - 370

EP - 372

T2 - 23rd Russian Particle Accelerator Conference, RuPAC 2012

Y2 - 24 September 2012 through 28 September 2012

ER -