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Copyright (C) 2025 SciPy developers
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions are met:
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a. Redistributions of source code must retain the above copyright notice,
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this list of conditions and the following disclaimer.
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b. Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in the
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documentation and/or other materials provided with the distribution.
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c. Names of the SciPy Developers may not be used to endorse or promote
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products derived from this software without specific prior written
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permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS OR CONTRIBUTORS
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BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY,
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OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
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THE POSSIBILITY OF SUCH DAMAGE.
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DOP library consisting Dormand-Prince (4)5 and 8(5,3) integrators, is a
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C translation of the Fortran code written by Ernst Hairer, and Gerhard
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Wanner with the original descriptions below.
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* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
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* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
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NUMERICAL SOLUTION OF A SYSTEM OF FIRST 0RDER
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ORDINARY DIFFERENTIAL EQUATIONS Y'=F(X,Y).
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THIS IS AN EXPLICIT RUNGE-KUTTA METHOD OF ORDER 8(5,3)
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DUE TO DORMAND & PRINCE (WITH STEPSIZE CONTROL AND
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DENSE OUTPUT)
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AUTHORS: E. HAIRER AND G. WANNER
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UNIVERSITE DE GENEVE, DEPT. DE MATHEMATIQUES
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CH-1211 GENEVE 24, SWITZERLAND
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E-MAIL: Ernst.Hairer@math.unige.ch
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Gerhard.Wanner@math.unige.ch
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THIS CODE IS DESCRIBED IN:
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E. HAIRER, S.P. NORSETT AND G. WANNER, SOLVING ORDINARY
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DIFFERENTIAL EQUATIONS I. NONSTIFF PROBLEMS. 2ND EDITION.
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SPRINGER SERIES IN COMPUTATIONAL MATHEMATICS,
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SPRINGER-VERLAG (1993)
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VERSION OF APRIL 25, 1996
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(latest correction of a small bug: August 8, 2005)
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* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
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NUMERICAL SOLUTION OF A SYSTEM OF FIRST 0RDER
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ORDINARY DIFFERENTIAL EQUATIONS Y'=F(X,Y).
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THIS IS AN EXPLICIT RUNGE-KUTTA METHOD OF ORDER (4)5
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DUE TO DORMAND & PRINCE (WITH STEPSIZE CONTROL AND
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DENSE OUTPUT).
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AUTHORS: E. HAIRER AND G. WANNER
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UNIVERSITE DE GENEVE, DEPT. DE MATHEMATIQUES
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CH-1211 GENEVE 24, SWITZERLAND
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E-MAIL: Ernst.Hairer@math.unige.ch
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Gerhard.Wanner@math.unige.ch
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THIS CODE IS DESCRIBED IN:
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E. HAIRER, S.P. NORSETT AND G. WANNER, SOLVING ORDINARY
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DIFFERENTIAL EQUATIONS I. NONSTIFF PROBLEMS. 2ND EDITION.
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SPRINGER SERIES IN COMPUTATIONAL MATHEMATICS,
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SPRINGER-VERLAG (1993)
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VERSION OF APRIL 25, 1996
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* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
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* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
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