Some properties of symplectic Runge-Kutta methods

Hairer, Ernst; Leone, Pierre

Scientific article

English

Some properties of symplectic Runge-Kutta methods

ContributorsHairer, Ernst; Leone, Pierre

Published inNew Zealand journal of mathematics, vol. 29, no. 2, p. 169-175

Publication date2000

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 methods
W-transformation
Poles of stability function
Weights of quadrature formula

Affiliation

Faculté des sciences / Section de mathématiques

Citation (ISO format)

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.

Identifiers

PID : unige:12453

Commercial URLhttp://www.math.auckland.ac.nz/NZJM/vol29num2.html

ISSN of the journal1171-6096

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Some properties of symplectic Runge-Kutta methods

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