Some properties of symplectic Runge-Kutta methods (Q2708032)

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Some properties of symplectic Runge-Kutta methods
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    17 April 2001
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    symplectic Runge-Kutta methods
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    quadrature formula
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    Some properties of symplectic Runge-Kutta methods (English)
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    The authors prove that for every rational function satisfying \(R(-z)R(z)= 1\) there exists a symplectic Runge-Kutta method with stability function \(R(z)\) and give a relation between its poles and the weights of the associated quadrature formula.
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