Specific Implementations of Symplectic Numerical Methods

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Abstract

The paper illustrates the use of the tensor notation for writing symplectic numerical schemes. Symplectic conditions are given for the partitioned Runge–Kutta and Runge–Kutta–Nystr̈om methods. The specific implementations of symplectic numerical methods are reviewed.

About the authors

M N Gevorkyan

Peoples’ Friendship University of Russia

Email: mngevorkyan@sci.pfu.edu.ru
Telecommunication Systems Department

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