Bibliography

1

K. Engø and S. Faltinsen, Numerical Integration of Lie-Poisson systems while preserving Casimirs and energy, SIAM J. Numer. Anal. 39 (1): 128-145, 2001.

2

S. Faltinsen, Backward Error Analysis for Lie-Group Methods, BIT, 40 (3): 652-670, 2000.

3

S. Faltinsen, Geometric Integration of Lie-Poisson systems, PhD Thesis, University of Cambridge, 2001.

4

Z. Ge and J.E. Marsden, Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators, Physics Letters A, 133: 134-139, 1988.

5

E. Hairer and C. Lubich, The life-span of backward error analysis for numerical integrators, Num. Math., 76: 441-462, 1997.

6

A. Iserles and H. Z. Munthe-Kaas and S. P. Nørsett and A. Zanna, Lie-group methods, Acta Numerica 9: 215-365, 2000.

7

S. Reich, Backward error analysis for numerical integrators, SIAM J. Numer. Anal. 36 (5): 1549-1570, 1999.