Extrapolation of symplectic methods for Hamiltonian problems

DOI10.1016/S0168-9274(99)00127-0zbMath0951.65138OpenAlexW2079763265MaRDI QIDQ1567637

Robert P. K. Chan, Ander Murua

Publication date: 6 December 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(99)00127-0

zbMATH Keywords

integrable Hamiltonian systemRunge-Kutta methodssymplectic methodsharmonic oscillatoractive extrapolationpassive extrapolation

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (6)

On the consistency order of Runge-Kutta methods combined with active Richardson extrapolation ⋮ Explicit adaptive symplectic integrators for solving Hamiltonian systems ⋮ Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs ⋮ High order integrators obtained by linear combinations of symmetric-conjugate compositions ⋮ High order numerical integrators for differential equations using composition and processing of low order methods ⋮ Raising the order of geometric numerical integrators by composition and extrapolation

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