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Geometric Numerical Integration [2006]

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