Achieving Brouwer's law with implicit Runge-Kutta methods

BIT Numerical Mathematics

Volumn 48, Issue 2, 2008, Pages 231-243

  Hairer, E ^a   McLachlan, R I ^b   Razakarivony, A ^a  

^a UNIVERSITY OF GENEVA   (Switzerland)

^b MASSEY UNIVERSITY   (New Zealand)

Author keywords

Efficient implementation; Implicit Runge Kutta methods; Long time integration; Probabilistic error propagation; Round off error

Indexed keywords

EID: 49749096777     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-008-0170-3     Document Type: Article

References (8)

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3. E. Hairer, C. Lubich, and G. Wanner, Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations, 2nd edn., Springer Ser. Comput. Math., vol. 31, Springer, Berlin, 2006.
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7. J.-M. Petit, Symplectic integrators: rotations and roundoff errors, Celest. Mech. Dyn. Astron., 70(1) (1998), pp. 1-21.
8. G. D. Quinlan, Round-off error in long-term orbital integrations using multistep methods, Celest. Mech. Dyn. Astron., 58(4) (1994), pp. 339-351.