University of Cambridge Numerical Analysis Reports on the Solution of Linear Diierential Equations in Lie Groups on the Solution of Linear Diierential Equations in Lie Groups

@inproceedings{Iserles1997UniversityOC,
  title={University of Cambridge Numerical Analysis Reports on the Solution of Linear Diierential Equations in Lie Groups on the Solution of Linear Diierential Equations in Lie Groups},
  author={Arieh Iserles and S P Nnrsett},
  year={1997}
}
The subject matter of this paper is the solution of the linear diierential equation y 0 = aty, y0 = y0, where y0 2 G, a : R + ! g and g is a Lie algebra of the Lie group G. By building upon an earlier work of Wilhelm Magnus 166, we represent the solution as an innnite series whose terms are indexed by binary trees. This relationship between the innnite series and binary trees leads both to a convergence proof and to a constructive computational algorithm. This numerical method requires the… CONTINUE READING