Literature

E. Celledoni, H. Marthinsen and B. Owren. An introduction to Lie group integrators – basics, new developments and applications. Journal of Computational Physics 257, 1040–1061 (2014). Accessed on Jul 14, 2021, arXiv: 1207.0069.

P. E. Crouch and R. Grossman. Numerical integration of ordinary differential equations on manifolds. Journal of Nonlinear Science 3, 1–33 (1993). Accessed on Jul 17, 2021.

K. Engø and A. Marthinsen. Modeling and Solution of Some Mechanical Problems on Lie Groups. Multibody System Dynamics 2, 71–88 (1998). Accessed on Oct 13, 2021.

E. Hairer, C. Lubich and G. Wanner. Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations. 2nd ed. 2006. 2nd printing 2010 edition Edition (Springer, Heidelberg ; New York, 2010).

Z. Jackiewicz, A. Marthinsen and B. Owren. Construction of Runge–Kutta methods of Crouch–Grossman type of high order. Advances in Computational Mathematics 13, 405–415 (2000). Accessed on Oct 15, 2021.

H. Munthe–Kaas and B. Owren. Computations in a free Lie algebra. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 357, 957–981 (1999). Accessed on Jul 14, 2021. Publisher: Royal Society.

B. Owren and A. Marthinsen. Runge-Kutta Methods Adapted to Manifolds and Based on Rigid Frames. BIT Numerical Mathematics 39, 116–142 (1999). Accessed on Jul 15, 2021.