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A generalization to variable stepsizes of Störnier methods for second-order differential equations
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Cano, B. and Durán, A., A technique to construct symmetric variable-stepsize lines multistep methods for second-order systems, Math. Comp., posted on May 29, 2003, PII S 0025-5718(03)01546-1 (to appear in print).
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Math. Comp.
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Cano, B.1
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Error growth in the numerical integration of periodic orbits, with application to Hamiltonian and reversible systems
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The convergence of variable-stepsize, variable formula, multistep methods
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MR 85m:65063
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Hairer, E.1
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Variable time step integration with symplectic methods
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Hairer, E., Variable time step integration with symplectic methods, Appl. Numer. Math., 25 (1997), pp. 219-227. MR 99a:65083
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Reversible long-term integration with variable stepsizes
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Hairer, E. and Stoffer, D., Reversible long-term integration with variable stepsizes, SIAM J. Sci. Comput., 18 (1997), pp. 257-269. MR 97m:65118
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Hairer, E.1
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The Adaptive Verlet method
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Huang, W. and Leimkuhler, B. The Adaptive Verlet method, SIAM J. Sci. Comput. 18 (1997), pp. 239-256. MR 98g:65063
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Building a better leapfrog
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Backward error analysis of numerical integrators
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Variable steps for reversible integration methods
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Stoffer, D., Variable steps for reversible integration methods, Computing, 55 (1995), pp. 1-22. MR 96d:65132
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On reversible and canonical integration methods
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Applied Mathematics, Eidgenössische Technische Hochschule (ETH), Zürich
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