A tenth-order symplectic Runge-Kutta-Nyström method

DOI10.1023/A:1008346516048zbMath0971.70007OpenAlexW354907077MaRDI QIDQ1976122

Ch. Tsitouras

Publication date: 1 November 2001

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008346516048

zbMATH Keywords

order conditionsHamiltonian problemstenth-order explicit symmetric symplectic Runge-Kutta-Nyström method

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05)

Related Items (12)

Economical handling of Runge-Kutta-Nyström step rejection ⋮ Runge-Kutta pairs of orders 9(8) for use in quadruple precision computations ⋮ Explicit Numerov type methods with reduced number of stages. ⋮ On high order Runge-Kutta-Nyström pairs ⋮ Runge-Kutta type methods with special properties for the numerical integration of ordinary differential equations ⋮ NEURAL NETWORK-BASED DERIVATION OF EFFICIENT HIGH-ORDER RUNGE–KUTTA–NYSTRÖM PAIRS FOR THE INTEGRATION OF ORBITS ⋮ Multi-product splitting and Runge-Kutta-Nyström integrators ⋮ Explicit, eighth-order, four-step methods for solving \(y^{\prime\prime}=f(x, y)\) ⋮ High order numerical integrators for differential equations using composition and processing of low order methods ⋮ Evolutionary derivation of Runge-Kutta pairs for addressing inhomogeneous linear problems ⋮ The performance of the \(N\)-body integrator SSS ⋮ Runge-Kutta-Nyström methods of eighth order for addressing linear inhomogeneous problems

This page was built for publication: A tenth-order symplectic Runge-Kutta-Nyström method