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High-Order DA Methods for the Determination of Poincaré Sections

Abstract

A method to obtain DA approximations of Poincare´ maps directly from a DA approximation of the flow of the differential equation for certain types of flows and Poincare´ sections is presented. Examples of the performance of the method, its computational implementation, and its use for problems in beam physics are given.

J. Grote, M. Berz, K. Makino, Nuclear Instruments and Methods A558,1 (2006) 106-111

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