High-Order Symplectic Runge–Kutta–Nyström Methods
- 1 September 1993
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Scientific Computing
- Vol. 14 (5), 1237-1252
- https://doi.org/10.1137/0914073
Abstract
No abstract availableThis publication has 13 references indexed in Scilit:
- The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body ProblemSIAM Journal on Scientific Computing, 1993
- Partitioned Runge-Kutta methods for separable Hamiltonian problemsMathematics of Computation, 1993
- Explicit canonical methods for Hamiltonian systemsMathematics of Computation, 1992
- NUMERICAL HOMOCLINIC INSTABILITIES IN The SINE-GORDON EQUATIONQuaestiones Mathematicae, 1992
- An Explicit Runge–Kutta–Nyström Method is Canonical If and Only If Its Adjoint is ExplicitSIAM Journal on Numerical Analysis, 1992
- Order conditions for canonical Runge-Kutta-Nyström methodsBIT Numerical Mathematics, 1992
- High-Order Embedded Runge-Kutta-Nystrom FormulaeIMA Journal of Numerical Analysis, 1991
- Mathematical Methods of Classical MechanicsPublished by Springer Nature ,1989
- Families of Runge-Kutta-Nystrom FormulaeIMA Journal of Numerical Analysis, 1987
- Solving Ordinary Differential Equations ISpringer Series in Computational Mathematics, 1987