High-order Runge-Kutta-Nyström geometric methods with processing

Applied Numerical Mathematics

Volumn 39, Issue 3-4, 2001, Pages 245-259

  Blanes, S ^a   Casas, F ^b   Ros, J ^c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITAT JAUME I   (Spain)

^c UNIVERSITY OF VALENCIA   (Spain)

Author keywords

Geometric integration; Initial value problems; Processing technique

Indexed keywords

ALGORITHMS; INITIAL VALUE PROBLEMS; INTEGRATION; ORDINARY DIFFERENTIAL EQUATIONS;

GEOMETRIC INTEGRATORS;

RUNGE KUTTA METHODS;

EID: 0035545873     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(00)00035-0     Document Type: Article

References (17)

1. Symplectic integrators with processing: A general study
2. Algorithm 670. A Runge-Kutta-Nyström code
3. The effective order of Runge-Kutta methods
4. High-order symplectic Runge-Kutta-Nyström methods
5. A symplectic integration algorithm for separable Hamiltonian functions
6. Explicit symplectic integrators using Hessian-vector products
7. On the numerical integration of ordinary differential equations by symmetric composition methods
8. More on symplectic correctors
9. A survey of open problems in symplectic integration
10. Canonical Runge-Kutta-Nyström methods of orders five and six
11. A numerical algorithm for Hamiltonian systems
12. Symplectic correctors
13. Construction of higher order symplectic integrators