CONTIN-NLIN              Library  "JINRLIB"                      

    Author: E.V.Zemlyanaya                                           You are
    Language: Fortran                                                
                                                                     visitor here.

                PROGRAM COMPLEX FOR NUMERICAL CONTINUATION

    CONTIN-NLIN is the program for numerical continuation of solutions of the 
    following system of two nonlinear ODEs:

    u1"(x)+F11(u1,u2,x,)u1'(x)+F12(u1,u2,x,)u2'(x)+G1(u1,u2,x,) = 0 ,
    u2"(x)+F21(u1,u2,x,)u1'(x)+F22(u1,u2,x,)u2'(x)+G2(u1,u2,x,) = 0 ,

    where axb,  - vector of parameters, Fij and Gi (i,j=1,2) - given
    functions, solution is continued in one of elements of vector , 
    boundary conditions have the following form:

    Di*ui'(a) + Qi*ui(a) = 0,    DDi*ui'(b) + QQi*ui(b) = 0.

    Here i=1,2,   Di2 + Qi2 > 0,   DDi2 + QQi2 > 0.

    The continuation scheme through turning points is described in [1].
    At each step of numerical continuation, the Newtonian iteration scheme [2]
    with the 4th accuracy finite-difference approximation [3] is used. 

    References:
    -----------
    1. E.V.Zemlyanaya, I.V.Barashenkov. Mathematical Modeling. V.16, No.10,
       pp.3-14, 2004.
    2. I.V.Puzynin, I.V.Amirkhanov, E.V.Zemlyanaya et al. Particles & Nuclei.
       v.30, No.1, pp.210-265, 1999. 
    3. E.V.Zemlyanaya, I.V.Puzynin, T.P.Puzynina. JINR Comm. P11-97-414, Dubna,
       1997.

    Sources, tests and the detailed description (in Russian, pdf) are submitted.