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Some properties of symplectic Runge-Kutta methods

Published in New Zealand Journal of Mathematics. 2000, vol. 29, no. 2, p. 169-175
Abstract We prove that to every rational function R(z) satisfying R(-z)R(z)=1, there exists a symplectic Runge-Kutta method with R(z) as stability function. Moreover, we give a surprising relation between the poles of R(z) and the weights of the quadrature formula associated with a symplectic Runge-Kutta method.
Keywords Symplectic Runge-Kutta methodsW-transformationPoles of stability functionWeights of quadrature formula
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HAIRER, Ernst, LEONE, Pierre. Some properties of symplectic Runge-Kutta methods. In: New Zealand Journal of Mathematics, 2000, vol. 29, n° 2, p. 169-175. https://archive-ouverte.unige.ch/unige:12453

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Deposited on : 2010-11-15

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