The Chebyshev methods of Panovsky and Richardson as Runge-Kutta-Nyström methods
- 1 August 1995
- journal article
- Published by Elsevier in Journal of Computational and Applied Mathematics
- Vol. 61 (3) , 245-261
- https://doi.org/10.1016/0377-0427(94)00074-9
Abstract
No abstract availableKeywords
This publication has 11 references indexed in Scilit:
- The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body ProblemSIAM Journal on Scientific Computing, 1993
- Variable step size does not harm second-order integrators for Hamiltonian systemsJournal of Computational and Applied Mathematics, 1993
- Analysis of a family of Chebyshev methods for y″ = ƒ(x, y)Journal of Computational and Applied Mathematics, 1992
- Rational approximations for the cosine function; P-acceptability and orderNumerical Algorithms, 1992
- An Explicit Runge–Kutta–Nyström Method is Canonical If and Only If Its Adjoint is ExplicitSIAM Journal on Numerical Analysis, 1992
- Symplectic integrators for Hamiltonian problems: an overviewActa Numerica, 1992
- A family of implicit Chebyshev methods for the numerical integration of second-order differential equationsJournal of Computational and Applied Mathematics, 1988
- Stability of collocation methods for the numerical solution ofy″=f (x,y)BIT Numerical Mathematics, 1980
- Collocation at Gaussian PointsSIAM Journal on Numerical Analysis, 1973
- On the method for numerical integration of Clenshaw and CurtisNumerische Mathematik, 1963