Quadrature methods based on the Cayley transform

Applied Numerical Mathematics

Volumn 39, Issue 3-4, 2001, Pages 403-413

  Marthinsen, A ^a   Owren, B ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Geometric integration; Numerical analysis; Numerical integration of ordinary differential equations on manifolds; Quadratic Lie groups

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; INTEGRATION; MATHEMATICAL TRANSFORMATIONS; NUMERICAL ANALYSIS;

GEOMETRIC INTEGRATION;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0035545770     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(01)00087-3     Document Type: Article

References (18)

1. Approximating the exponential from a Lie algebra to a Lie group
2. Methods for the approximation of the matrix exponential in a Lie-algebraic setting
3. The Cayley transform in the numerical solution of unitary differential systems
4. One step semi-explicit methods based on the Cayley transform for solving isospectral flows
5. On the construction of geometric integrators in the RKMK class
6. Volume-preserving algorithms for source-free dynamical systems
7. On the implementation of the method of Magnus series for linear differential equations
8. On the solution of linear differential equations in Lie groups
9. Conserving algorithms for the dynamics of Hamiltonian systems of Lie groups
10. On the exponential solution of differential equations for a linear operator
11. High order Runge-Kutta methods on manifolds
12. Integration methods based on canonical coordinates of the second kind