Eight-stage pseudo-symplectic Runge-Kutta methods of order (4, 8)

01/23/2023

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by   Misha Stepanov, et al.

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Using simplifying assumptions that are related to the time reversal symmetry, a 1-dimensional family of 8-stage pseudo-symplectic Runge-Kutta methods of order (4, 8) is derived. An example of 7-stage method of order (4, 9) is given.