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Geometric Numerical Integration [2006]
- 1
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Examples and Numerical Experiments
- 27
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Numerical Integrators
- 51
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Order Conditions, Trees and B-Series
- 97
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Conservation of First Integrals and Methods on Manifolds
- 143
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Symmetric Integration and Reversibility
- 179
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Symplectic Integration of Hamiltonian Systems
- 237
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Non-Canonical Hamiltonian Systems
- 303
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Structure-Preserving Implementation
- 337
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Backward Error Analysis and Structure Preservation
- 389
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Hamiltonian Perturbation Theory and Symplectic Integrators
- 437
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Reversible Perturbation Theory and Symmetric Integrators
- 455
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Dissipatively Perturbed Hamiltonian and Reversible Systems
- 471
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Oscillatory Differential Equations with Constant High Frequencies
- 531
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Oscillatory Differential Equations with Varying High Frequencies
- 567
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Dynamics of Multistep Methods