Cost efficient Lie group integrators in the RKMK class
Fernando Casas and Brynjulf Owren
Preprint no 5/2002, Department of Mathematical Sciences, NTNU.
Abstract:
In this work a systematic procedure is implemented in order to minimise
the computational cost of the Runge--Kutta--Munthe-Kaas (RKMK)
class of Lie-group solvers. The process consists of the application
of a linear transformation to the stages of the method and the analysis
of a graded free Lie algebra to reduce the number of commutators
involved. We consider here RKMK integration methods up to order seven
based on some of the most popular Runge--Kutta schemes.
Submitted by
Brynjulf.Owren@math.ntnu.no 19 Dec, 2002
Email of author:
casas@mat.uji.es
Brynjulf.Owren@math.ntnu.no
URL of author:
http://www.math.ntnu.no/~bryn
Download:
2002-018