Backward error analysis and the substitution law for Lie group integrators

Details Backward error analysis and the substitution law for Lie group integrators Backward error analysis and the substitution law for Lie group integrators

2011-06-06

arxiv.org/abs/1106.1071v1

Mathematics

Numerical Analysis

21 pages

Scientific paper

Butcher series are combinatorial devices used in the study of numerical methods for differential equations evolving on vector spaces. They are formal series developments of differential operators indexed over rooted trees, and can be used to represent a large class of numerical methods. The theory of backward error analysis for differential equations has a particularly nice description when applied to methods represented by Butcher series. For the study of differential equations evolving on more general manifolds, a generalization of Butcher series has been introduced, called Lie--Butcher series. This paper presents the algebraic theory of backward error analysis for methods based on Lie--Butcher series.

Affiliated with

Also associated with

No associations

Rating

Backward error analysis and the substitution law for Lie group integrators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Backward error analysis and the substitution law for Lie group integrators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Backward error analysis and the substitution law for Lie group integrators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-390012