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The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem.

, and . SIAM J. Sci. Comput., 14 (4): 936-952 (1993)

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Convergence analysis of one-step schemes in the method of lines., and . Conference on Numerical Ordinary Differential Equations, page 183-196. ACM, (1989)Instabilities and Inaccuracies in the Integration of Highly Oscillatory Problems., and . SIAM J. Sci. Comput., 31 (3): 1653-1677 (2009)Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case., , and . Found. Comput. Math., 12 (4): 471-508 (2012)Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling., , , and . CoRR, (2020)Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case., , and . Found. Comput. Math., 17 (2): 625-626 (2017)The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem., and . SIAM J. Sci. Comput., 14 (4): 936-952 (1993)Heterogeneous Multiscale Methods for Mechanical Systems with Vibrations., and . SIAM J. Sci. Comput., 32 (4): 2029-2046 (2010)Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds., , and . Found. Comput. Math., 15 (2): 591-612 (2015)Numerical Integrators for the Hybrid Monte Carlo Method., , and . SIAM J. Sci. Comput., (2014)Multi-stage splitting integrators for sampling with modified Hamiltonian Monte Carlo methods., , , and . J. Comput. Phys., (2018)