The Condition of Explicitness and the Diagonal Implicitness for Composition of Runge-Kutta Method with its Adjoint One

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Abstract


The paper addresses three topics: the adjoint Runge-Kutta methods, the composition of several Runge - Kutta methods and symplectic partitioned Runge-Kutta methods. A connection between the explicitness or diagonal implicitness for adjoint Runge-Kutta methods and conditions of a partitioned symplectic Runge-Kutta methods.

M N Gevorkyan

Peoples Friendship University of Russia

Email: mngevorkyan@sci.pfu.edu.ru
Кафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of Russia

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Copyright (c) 2012 Геворкян М.Н.

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