Variable stepsize commutator free Lie group integrators
Charles Curry, Brynjulf Owren
TL;DR
This paper introduces variable stepsize Lie group integrators that utilize embedded Runge-Kutta pairs for error control, enhancing numerical solutions of differential equations on Lie groups.
Contribution
It presents a novel class of variable stepsize integrators for Lie groups that incorporate embedded Runge-Kutta methods for improved error management.
Findings
Demonstrates effective error control in Lie group integration
Achieves adaptive stepsize selection for improved efficiency
Provides numerical experiments validating the method
Abstract
We introduce variable stepsize commutator free Lie group integrators, where the error control is achieved using embedded Runge-Kutta pairs.
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