Lie-Butcher theory for Runge-Kutta methods

BIT Numerical Mathematics

Volumn 35, Issue 4, 1995, Pages 572-587

  Munthe Kaas, Hans ^a  

^a UNIVERSITY OF BERGEN   (Norway)

Author keywords

Butcher theory; Lie algebras; Lie groups; Lie series; manifolds; Runge Kutta methods

Indexed keywords

EID: 0000533036     PISSN: 00063835     EISSN: 15729125     Source Type: Journal    
DOI: 10.1007/BF01739828     Document Type: Article

References (16)

1. The extension of the theory of A-methods to RK-methods
2. Coefficients for the study of Runge-Kutta integration processes
3. An algebraic theory of integration methods
4. Numerical integration of ordinary differential equations on manifolds
5. On the Butcher group and general multi-value methods
6. Algebraic programming technology for partial differential equations
7. Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum