Runge-kutta schemes for Hamiltonian systems

BIT

Volumn 28, Issue 4, 1988, Pages 877-883

  Sanz Serna, J M ^a  

^a UNIVERSITY OF VALLADOLID   (Spain)

Author keywords

70H; AMS 65 L; conservation of energy; Hamiltonian systems; Runge Kutta methods; symplectic geometry

Indexed keywords

EID: 0038976122     PISSN: 00063835     EISSN: 15729125     Source Type: Journal    
DOI: 10.1007/BF01954907     Document Type: Article

References (14)

1. Stability criteria for implicit Runge-Kutta methods
2. Stability of Runge-Kutta methods for trajectory problems
3. On difference schemes and sympletic geometry
4. Difference schemes for Hamiltonian formalism and symplectic geometry
5. An explicit finite-difference scheme with exact conservation properties
6. Methods for the numerical solution of the nonlinear Schroedinger equation
7. A method for the integration in time of certain partial differential equations
8. Studies in numerical nonlinear instability, III: Augmented Hamiltonian systems
9. Conservative and nonconservative schemes for the solution of the nonlinear Schroedinger equation