TRANSPORTNEW             Library "JINRLIB"                       

                                                                     You are
    Authors: R.V.Polyakova, I.P.Yudin                                
                                                                     visitor here.
                    CONTINIOUS ANALOGUE OF NEWTON METHOD
                         IN BEAM DYNAMICS PROBLEMS

    An algorithm of the continuous analogue of Newton method (CANM) is proposed 
    for the solving of the boundary value problems of beam transport.
    The efficiency of CANM has been practically shown on a number of the problems 
    of beam dynamics leading to the  solving of ordinary differential and integral
    equations.
    The solving of  the  problem  of  determining  the optimal (in  sense of some 
    criterions of quality) parameters Pi for charged  particles transportation 
    systems taking into account different nonlinear effects, is given. The results
    of the calculation of the consistent "invisible" straight section (insertion)
    of the accelerator obtained with the help of CANM are shown.

    Detailed description (format .pdf) are submitted.

    References:
    "Continuous Analogue of Newton Method in Beam Dynamics Problems"
    Вестник РУДН, №2, 2011 год, стр. 76-84.