image-match/python/py/Lib/site-packages/scipy/integrate/LICENSE_DOP

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DOP library consisting Dormand-Prince (4)5 and 8(5,3) integrators, is a
C translation of the Fortran code written by Ernst Hairer, and Gerhard
Wanner with the original descriptions below.

* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
    NUMERICAL SOLUTION OF A SYSTEM OF FIRST 0RDER
    ORDINARY DIFFERENTIAL EQUATIONS  Y'=F(X,Y).
    THIS IS AN EXPLICIT RUNGE-KUTTA METHOD OF ORDER 8(5,3)
    DUE TO DORMAND & PRINCE (WITH STEPSIZE CONTROL AND
    DENSE OUTPUT)

    AUTHORS: E. HAIRER AND G. WANNER
             UNIVERSITE DE GENEVE, DEPT. DE MATHEMATIQUES
             CH-1211 GENEVE 24, SWITZERLAND
             E-MAIL:  Ernst.Hairer@math.unige.ch
                      Gerhard.Wanner@math.unige.ch

    THIS CODE IS DESCRIBED IN:
        E. HAIRER, S.P. NORSETT AND G. WANNER, SOLVING ORDINARY
        DIFFERENTIAL EQUATIONS I. NONSTIFF PROBLEMS. 2ND EDITION.
        SPRINGER SERIES IN COMPUTATIONAL MATHEMATICS,
        SPRINGER-VERLAG (1993)

    VERSION OF APRIL 25, 1996
    (latest correction of a small bug: August 8, 2005)

* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
    NUMERICAL SOLUTION OF A SYSTEM OF FIRST 0RDER
    ORDINARY DIFFERENTIAL EQUATIONS  Y'=F(X,Y).
    THIS IS AN EXPLICIT RUNGE-KUTTA METHOD OF ORDER (4)5
    DUE TO DORMAND & PRINCE (WITH STEPSIZE CONTROL AND
    DENSE OUTPUT).

    AUTHORS: E. HAIRER AND G. WANNER
             UNIVERSITE DE GENEVE, DEPT. DE MATHEMATIQUES
             CH-1211 GENEVE 24, SWITZERLAND
             E-MAIL:  Ernst.Hairer@math.unige.ch
                      Gerhard.Wanner@math.unige.ch

    THIS CODE IS DESCRIBED IN:
        E. HAIRER, S.P. NORSETT AND G. WANNER, SOLVING ORDINARY
        DIFFERENTIAL EQUATIONS I. NONSTIFF PROBLEMS. 2ND EDITION.
        SPRINGER SERIES IN COMPUTATIONAL MATHEMATICS,
        SPRINGER-VERLAG (1993)

    VERSION OF APRIL 25, 1996
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *